Prof. Dr. Fritz Colonius

Publikationen

Fritz Colonius
2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 | 1983 | 1982 | 1981 | 1980 | 1978

2020

Fritz Colonius, João A. N. Cossich and Alexandre J. Santana
Bounds for invariance pressure

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Fritz Colonius, João A.N. Cossich and Alexandre J. Santana
Bounds for invariance pressure

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2019

Fritz Colonius and Guilherme Mazanti
Decay rates for stabilization of linear continuous-time systems with random switching

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Fritz Colonius, Alexandre J. Santana and João A. N. Cossich
Invariance pressure for control systems

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Boumediene Hamzi and Fritz Colonius
Kernel methods for discrete-time linear equations

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Boumediene Hamzi and Fritz Colonius
Kernel methods for the approximation of discrete-time linear autonomous and control systems

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2018

Fritz Colonius, Joa͂o A. N. Cossich and Alexandre J. Santana
Invariance Pressure of Control Sets

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Fritz Colonius
Invariance entropy, quasi-stationary measures and control sets

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Fritz Colonius, Alexandre J. Santana and João A. N. Cossich
Invariance pressure for control systems

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Fritz Colonius
Metric invariance entropy and conditionally invariant measures

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Fritz Colonius, Tomasz Downarowicz, Christoph Kawan and Girish Nair
Mini-workshop: entropy, information and control

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2017

Michel Benaïm, Fritz Colonius and Ralph Lettau
Supports of invariant measures for piecewise deterministic Markov processes

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2016

Fritz Colonius and Alexandre J. Santana
A splitting theorem for affine skew-product flows

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Fritz Colonius
Metric invariance entropy and relatively invariant control sets

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Fritz Colonius and Ralph Lettau
Relative controllability properties

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2015

Fritz Colonius
Entropy properties of deterministic control systems

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2014

Fritz Colonius, U. Helmke, J. Jordan, Christoph Kawan, R. Sailer and F. Wirth
Analysis of networked systems

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Fritz Colonius and Wolfgang Kliemann
Dynamical systems and linear algebra

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Yacine Chitour, Fritz Colonius and Mario Sigalotti
Growth rates for persistently excited linear systems

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Fritz Colonius, Luiz A. B. San Martin and Adriano J. da Silva
Topological fiber entropy for linear flows on vector bundles

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2013

Fritz Colonius, Christoph Kawan and Girish Nair
A note on topological feedback entropy and invariance entropy

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Fritz Colonius
Conditionally stationary measures for random diffeomorphisms

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Fritz Colonius
Subspace entropy and controlled invariant subspaces

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2012

Fritz Colonius, Ryuichi Fukuoka and Alexandre Santana
Invariance Entropy for Topological Semigroup Actions

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Fritz Colonius
Minimal bit rates and entropy for exponential stabilization

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2011

Fritz Colonius and Christoph Kawan
Invariance entropy for outputs

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Fritz Colonius and Wolfgang Kliemann
Near invariance and local transience for stochastic systems

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2010

Fritz Colonius, Thorsten Hüls and Martin Rasmussen
Connecting orbits in perturbed systems

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Fritz Colonius
Minimal data rates and invariance entropy

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Fritz Colonius, Ale Jan Homburg and Wolfgang Kliemann
Near invariance and local transience for random diffeomorphisms

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Fritz Colonius and Alexandre J. Santana
Topological conjugacy for affine-linear flows and control systems

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2009

Fritz Colonius and Tobias Wichtrey
Controllability for systems with almost periodic excitations

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Fritz Colonius and Uwe Helmke
Entropy of controlled-invariant subspaces

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Fritz Colonius and Christoph Kawan
Invariance Entropy for Outputs

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Fritz Colonius and Wolfgang Kliemann
Spectral theory for perturbed systems

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2008

Fritz Colonius, Albert Marquardt, Edwin Kreuzer and Wolfgang Sichermann
A numerical study of capsizing: comparing control set analysis and Melnikov's method

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Fritz Colonius and Tobias Wichtrey
Control systems with almost periodic excitations

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Fritz Colonius and Christoph Kawan
Invariance Entropy for Control Systems

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Fritz Colonius, Peter Kloeden and Martin Rasmussen
Morse spectrum for nonautonomous differential equations

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Fritz Colonius, Tobias Gayer and Wolfgang Kliemann
Near invariance for Markov diffusion systems

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2007

Fritz Colonius and Tomasz Kapela
A rigorous numerical algorithm for controllability

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Fritz Colonius, Roberta Fabbri, Russel Johnson and Marco Spadini
Bifurcation phenomena in control flows

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Fritz Colonius, Roberta Fabbri and Russell Johnson
Chain recurrence, growth rates and ergodic limits

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Fritz Colonius and Tobias Wichtrey
Control systems with almost periodic excitations

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Fritz Colonius and Wolfgang Kliemann
Controllability properties of nonlinear behaviors

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Fritz Colonius and Wolfgang Kliemann
Dynamical systems and linear algebra

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Paulo Ruffino and Fritz Colonius
Nonlinear Iwasawa decomposition of control flows

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Victor Ayala, Fritz Colonius and Wolfgang Kliemann
On topological equivalence of linear lows with applications to bilinear control systems

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2006

Fritz Colonius, Stefan Hilger, Peter Kloeden and Stefan Siegmund
Bernd Aulbach—Obituary

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Jose Ayala, Patrick Corbin, Kelly Mc Conville, Fritz Colonius, Wolfgang Kliemann and Justin Peters
Morse decompositions, attractors, and chain recurrence

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Fritz Colonius, Roberta Fabbri and R. Johnson
On non-autonomous H ∞ control with infinite horizon

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Fritz Colonius and K. Kunisch
Output least squares stability for estimation of the diffusion coefficient in an elliptic equation

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Victor Ayala, Fritz Colonius and Wolfgang Kliemann
Towards a topological classification of bilinear control systems

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2005

Fritz Colonius, Eyüp Kızıl and Luiz A.B. San Martin
Covering space for monotonic homotopy of trajectories of control systems

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Victor Ayala, Fritz Colonius and Wolfgang Kliemann
Dynamical characterization of the Lyapunov form of matrices

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Victor Ayala, Fritz Colonius and Wolfgang Kliemann
Dynamical characterization of the Lyapunov form of matrices

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Victor Ayala, Fritz Colonius and Wolfgang Kliemann
Dynamical characterization of the Lyapunov form of matrices

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Marco Spadini and Fritz Colonius
Fundamental semigroups for dynamical systems

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Fritz Colonius, Luiz A.B. San Martin and Marco Spadini
Fundamental semigroups for local control sets

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Fritz Colonius, Tobias Gayer and Iakovos Matsikis
Numerical computation of invariant densities of linear control systems driven by multiplicative white noise

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Fritz Colonius
Regularization of Lagrange multipliers for time delay systems with fixed final state

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2004

Fritz Colonius and Wolfgang Kliemann
Behaviors and controllability

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Fritz Colonius and Wolfgang Kliemann
Bifurcations of Control Systems: A View from Control Flows

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Fritz Colonius, Peter Kloeden and Stefan Siegmund
Preface: foundations of nonautonomous dynamical systems

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2003

Fritz Colonius and Marco Spadini
A dynamic index for control sets

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Fritz Colonius and Roberta Fabbri
Controllability for Systems with Slowly Varying Parameters

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Fritz Colonius and Wolfgang Kliemann
Limits of input-to-state stability

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Fritz Colonius and Stefan Siegmund
Normal forms for control systems at singular points

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Fritz Colonius and Marco Spadini
Uniqueness of local control sets

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2002

Fritz Colonius and Dietmar Szolnoki
Algorithms for Computing Reachable Sets and Control Sets

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Part of special issue: 5th IFAC Symposium on Nonlinear Control Systems 2001, St Petersburg, Russia, 4-6 July 2001

Fritz Colonius and Wolfgang Kliemann
Attractors, input-to-state-stability and control sets

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Fritz Colonius and Lars Grüne (eds.)
Dynamics, bifurcations and control

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Fritz Colonius and Wolfgang Kliemann
Morse decompositions and spectra on flag bundles

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Fritz Colonius and Wolfgang Kliemann
On dynamic bifurcations in control systems

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Fritz Colonius and Marco Spadini
On the classification of control sets

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Lecture notes in control and information sciences ; 273

Fritz Colonius and Wolfgang Kliemann
Reliability assessment of dynamical systems with random excitation

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2001

Fritz Colonius, Uwe Helmke, Dieter Prätzel-Wolters and Fabian Wirth (eds.)
Advances in mathematical systems theory: a volume in honor of Diederich Hinrichsen

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Fritz Colonius, Uwe Helmke, Dieter Prätzel-Wolters and Fabian Wirth (eds.)
Advances in mathematical systems theory: a volume in honour of Diederich Hinrichsen

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Fritz Colonius and Wolfgang Kliemann
An invariance radius for nonlinear systems

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Fritz Colonius and Wolfgang Kliemann
Collision of control sets

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Fritz Colonius and Weihua Du
Hyperbolic control sets and chain control sets

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Fritz Colonius and Wolfgang Kliemann
Mergers of control sets

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2000

Fritz Colonius and Wolfgang Kliemann
Computation of almost invariant sets for perturbed systems

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Fritz Colonius and Wolfgang Kliemann
Invariance under bounded time-varying perturbations

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Fritz Colonius and Wolfgang Kliemann
The dynamics of control

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Literaturverz. S. 597 - 619

1999

Fritz Colonius and Wolfgang Kliemann
Continuous, smooth, and control techniques for stochastic dynamics

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Fritz Colonius and Marco Spadini
Local uniqueness of control sets for nonlinear systems

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Fritz Colonius, D. Hinrichsen and F. Wirth
Lyapunov exponents and robust stabilization

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1998

Fritz Colonius, Wolfgang Kliemann and Luiz A. B. San Martin
Asymptotic problems - from control systems to semigroups

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1997

Fritz Colonius and Wolfgang Kliemann
Exponential growth behavior of bilinear control system

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Fritz Colonius and R. Johnson
Local and global null controllability of time varying linear control systems

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Fritz Colonius and Wolfgang Kliemann
Nonlinear systems with multiplicative and additive pertubation under state space constraints

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1996

Fritz Colonius and Wolfgang Kliemann
Control theory and dynamical systems

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Bernd Aulbach and Fritz Colonius (eds.)
Six lectures on dynamical systems: Dynamical systems

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Fritz Colonius, F. Javier de la Rubia and Wolfgang Kliemann
Stochastic Models with Multistability and Extinction Levels

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Fritz Colonius and Wolfgang Kliemann
The Lyapunov spectrum of families of time varying matrices

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Fritz Colonius and Wolfgang Kliemann
The Morse spectrum of linear flows on vector bundles

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1995

Fritz Colonius and Wolfgang Kliemann
A stability radius for nonlinear differential equations subject to time-varying perturbations

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Fritz Colonius and Wolfgang Kliemann
Asymptotic null controllability of bilinear control systems

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Fritz Colonius and Wolfgang Kliemann
Controllability and stabilization of one-dimensional systems near bifurcation points

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Fritz Colonius and Wolfgang Kliemann
Lyapunov exponents in nonlinear stochastic dynamics

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Fritz Colonius and Wolfgang Kliemann
Stability of time-varying systems

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1994

Fritz Colonius and Wolfgang Kliemann
Limit behavior and genericity for nonlinear control systems

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Fritz Colonius and Wolfgang Kliemann
Local robust stabilization of nonlinear oscillators under parametric excitation

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Fritz Colonius and Wolfgang Kliemann
Random perturbations of bifurcation diagrams

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1993

Fritz Colonius and Wolfgang Kliemann
Feedback stabilization of one dimensional systems near bifurcation points

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Fritz Colonius and Wolfgang Kliemann
Linear control semigroups acting on projective space

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Fritz Colonius and Wolfgang Kliemann
Minimal and maximal Lyapunov exponents of bilinear control systems

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Fritz Colonius and Karl Kunisch
Sensitivity analysis for optimization problems in Hilbert spaces with bilateral constraints

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Fritz Colonius and Wolfgang Kliemann
Some aspects of control systems as dynamical systems

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1992

Fritz Colonius and Wolfgang Kliemann
A dynamical systems approach to control

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Fritz Colonius, Gerhard Häckl and Wolfgang Kliemann
Controllability near a Hopf bifurcation

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Fritz Colonius and Wolfgang Kliemann
Controlling the dynamics of a random system

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Fritz Colonius and Wolfgang Kliemann
On control sets and feedback for nonlinear systems

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Fritz Colonius and Wolfgang Kliemann
Remarks on ergodic theory of stochastic flows and control flows

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1991

Fritz Colonius and Wolfgang Kliemann
Lyapunov exponents of control flows

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Lecture notes in mathematics ; 1486

Fritz Colonius and Wolfgang Kliemann
Stabilization of linear uncertain systems

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Fritz Colonius and Wolfgang Kliemann
The spectrum and eigenspace structure of linear uncertain systems

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1990

Martin Brokate and Fritz Colonius
Linearizing equations with state-dependent delays

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Fritz Colonius and K. Kunisch
Stability of perturbed optimization problems with applications to parameter estimation

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Fritz Colonius and Wolfgang Kliemann
Stability radii and Lyapunov exponents

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1989

Fritz Colonius
Asymptotic Behaviour of Optimal Control Systems with Low Discount Rates

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Fritz Colonius and Malte Sieveking
Asymptotic Properties of Optimal Solutions in Planar Discounted Control Problems

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Fritz Colonius and Wolfgang Kliemann
Extremal exponential growth rates of bilinear control systems

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Fritz Colonius and Wolfgang Kliemann
Infinite time optimal control and periodicity

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Fritz Colonius and K. Kunisch
Output least squares stability in elliptic systems

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Fritz Colonius, Andrzej Manitius and Dietmar Salamon
Structure theory and duality for time varying retarded functional differential equations

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Fritz Colonius, Andrzej Manitius and Dietmar Salamon
Structure theory and duality for time varying retarded functional differential equations

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Fritz Colonius, Andrzej Manitius and Dietmar Salamon
Structure theory and duality for time varying retarded functional differential equations

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1988

Fritz Colonius
Optimal periodic control

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Fritz Colonius
Optimal periodic control: a scenario for local properness

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Fritz Colonius
Poincare-Bendixson theory for control problems with continuous controls

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1987

Fritz Colonius
Optimal periodic control of quasilinear systems in Hilbert spaces

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1986

Fritz Colonius
A global maximum principle for periodic control of functional differential equations

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Fritz Colonius
On optimal periodic control and nested optimization problems

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Fritz Colonius
On persistence in discounted optimal control problems

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Fritz Colonius
Optimality for periodic control of functional differential systems

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Fritz Colonius and K. Kunisch
Stability for parameter estimation in two point boundary value problems

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1985

Fritz Colonius
Optimal periodic control of retarded Lienard equations

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Fritz Colonius
The high-frequency Π-criterion for retarded systems

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1984

Fritz Colonius
An algebraic characterization of closed small attainability subspaces of delay systems

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Fritz Colonius
On approximate and exact null controllability of delay systems

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Fritz Colonius
Tests for properness in periodic control of functional differential systems

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1983

Fritz Colonius
A negative result on positive controllability of delay systems

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Fritz Colonius
A note on the existence of Lagrange multipliers

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Fritz Colonius
Optimality for evolution systems and delay systems with fixed final F-state

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1982

Fritz Colonius
Optimal control of linear retarded systems to small solutions

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Fritz Colonius
Stable and regular reachability for relaxed hereditary differential systems

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Fritz Colonius
The maximum principle for relaxed hereditary differential systems with function space end condition

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1981

Fritz Colonius
A penalty function proof of a Lagrange multiplier theorem with application to linear delay systems

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1980

Fritz Colonius
Necessary optimality conditions for nonlinear hereditary differnetial systems with function space end condition

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1978

Fritz Colonius and Diederich Hinrichsen
Differential state space descriptions of nonlinear time variant hereditary differential systems

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Fritz Colonius and D. Hinrichsen
Optimal control of functional differential systems

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