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1

The Morse Spectrum of Linear Flows on Vector Bundles

Fritz Colonius and Wolfgang Kliemann

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 4.14 MB

english, 1996

2

Quasi-ergodic limits for finite absorbing Markov chains

Colonius, Fritz, Rasmussen, Martin

Journal:

Linear Algebra and its Applications

Year:

2021

File:

PDF, 553 KB

2021

3

Spectral Theory for Perturbed Systems

Fritz Colonius, Wolfgang Kliemann

Journal:

GAMM-Mitteilungen

Year:

2009

Language:

english

File:

PDF, 216 KB

english, 2009

4

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

Journal:

Applied Mathematics & Optimization

Year:

1981

Language:

english

File:

PDF, 1.24 MB

english, 1981

5

A note on the existence of Lagrange multipliers

Journal:

Applied Mathematics & Optimization

Year:

1983

Language:

english

File:

PDF, 208 KB

english, 1983

6

Fundamental semigroups for local control sets

Fritz Colonius, Luiz A.B. San Martin, Marco Spadini

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2006

Language:

english

File:

PDF, 384 KB

english, 2006

7

Structure theory and duality for time varying retarded functional differential equations

Fritz Colonius, Andrzej Manitius, Dietmar Salamon

Journal:

Journal of Differential Equations

Year:

1989

Language:

english

File:

PDF, 1.39 MB

english, 1989

8

Morse Decompositions and Spectra on Flag Bundles

Fritz Colonius, Wolfgang Kliemann

Journal:

Journal of Dynamics and Differential Equations

Year:

2002

Language:

english

File:

PDF, 171 KB

english, 2002

9

Stochastic Models with Multistability and Extinction Levels

Colonius, Fritz, de la Rubia, F. Javier, Kliemann, Wolfgang

Journal:

SIAM Journal on Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 3.47 MB

english, 1996

10

Near Invariance for Markov Diffusion Systems

Colonius, Fritz, Gayer, Tobias, Kliemann, Wolfgang

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 1.71 MB

english, 2008

11

Control Systems with Almost Periodic Excitations

Colonius, Fritz, Wichtrey, Tobias

Journal:

SIAM Journal on Control and Optimization

Year:

2009

Language:

english

File:

PDF, 393 KB

english, 2009

12

Stochastic Models with Multistability and Extinction Levels

Fritz Colonius, F. Javier de la Rubia and Wolfgang Kliemann

Journal:

SIAM Journal on Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 2.71 MB

english, 1996

13

The Lyapunov Spectrum of Families of Time-Varying Matrices

Fritz Colonius and Wolfgang Kliemann

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 2.67 MB

english, 1996

14

[Lecture Notes in Control and Information Sciences] Dynamics, Bifurcations, and Control Volume 273 ||

Colonius, Fritz, Grüne, Lars

Year:

2002

Language:

english

File:

PDF, 21.02 MB

english, 2002

15

10.1090/S0002-9947-96-01523-1

Colonius, Fritz, Kliemann, Wolfgang

Journal:

Transactions of the American Mathematical Society

Year:

1996

Language:

english

File:

PDF, 429 KB

english, 1996

16

MORSE SPECTRUM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS

COLONIUS, FRITZ, KLOEDEN, PETER E., RASMUSSEN, MARTIN

Journal:

Stochastics and Dynamics

Year:

2008

Language:

english

File:

PDF, 195 KB

english, 2008

17

Controllability Properties of Nonlinear Behaviors

Fritz Colonius and Wolfgang Kliemann

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 1.28 MB

english, 2008

18

Controllability properties of nonlinear behaviors

Colonius, Fritz, Kliemann, Wolfgang

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 244 KB

english, 2008

19

Invariance Pressure of Control Sets

Colonius, Fritz, Cossich, Joa͂o A. N., Santana, Alexandre J.

Journal:

SIAM Journal on Control and Optimization

Year:

2018

Language:

english

File:

PDF, 370 KB

english, 2018

20

Preface of the guest-editors

Fritz Colonius, Kurt Schlacher

Journal:

GAMM-Mitteilungen

Year:

2008

Language:

english

File:

PDF, 25 KB

english, 2008

21

Controllability and stabilization of one-dimensional systems near bifurcation points

Fritz Colonius, Wolfgang Kliemann

Journal:

Systems & Control Letters

Year:

1995

Language:

english

File:

PDF, 676 KB

english, 1995

22

Covering space for monotonic homotopy of trajectories of control systems

Fritz Colonius, Eyüp Kızıl, Luiz A.B. San Martin

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 365 KB

english, 2005

23

Dynamical characterization of the Lyapunov form of matrices

Victor Ayala, Fritz Colonius, Wolfgang Kliemann

Journal:

Linear Algebra and its Applications

Year:

2005

Language:

english

File:

PDF, 471 KB

english, 2005

24

Limits of input-to-state stability

Fritz Colonius, Wolfgang Kliemann

Journal:

Systems & Control Letters

Year:

2003

Language:

english

File:

PDF, 241 KB

english, 2003

25

On approximate and exact null controllability of delay systems

Journal:

Systems & Control Letters

Year:

1984

Language:

english

File:

PDF, 182 KB

english, 1984

26

Random perturbations of bifurcation diagrams

Fritz Colonius, Wolfgang Kliemann

Journal:

Nonlinear Dynamics

Year:

1994

Language:

english

File:

PDF, 1.15 MB

english, 1994

27

Linearizing equations with state-dependent delays

Martin Brokate, Fritz Colonius

Journal:

Applied Mathematics & Optimization

Year:

1990

Language:

english

File:

PDF, 314 KB

english, 1990

28

Infinite time optimal control and periodicity

Fritz Colonius, Wolfgang Kliemann

Journal:

Applied Mathematics & Optimization

Year:

1989

Language:

english

File:

PDF, 1004 KB

english, 1989

29

Invariance entropy for outputs

Fritz Colonius, Christoph Kawan

Journal:

Mathematics of Control, Signals, and Systems (MCSS)

Year:

2011

Language:

english

File:

PDF, 260 KB

english, 2011

30

On Topological Equivalence of Linear Lows with Applications to Bilinear Control Systems

Victor Ayala, Fritz Colonius, Wolfgang Kliemann

Journal:

Journal of Dynamical and Control Systems

Year:

2007

Language:

english

File:

PDF, 290 KB

english, 2007

31

Connecting orbits in perturbed systems

Fritz Colonius, Thorsten Hüls, Martin Rasmussen

Journal:

Nonlinear Dynamics

Year:

2010

Language:

english

File:

PDF, 571 KB

english, 2010

32

An algebraic characterization of closed small attainability subspaces of delay systems

Journal:

Journal of Differential Equations

Year:

1984

Language:

english

File:

PDF, 749 KB

english, 1984

33

Some aspects of control systems as dynamical systems

Fritz Colonius, Wolfgang Kliemann

Journal:

Journal of Dynamics and Differential Equations

Year:

1993

Language:

english

File:

PDF, 1.06 MB

english, 1993

34

Linear control semigroups acting on projective space

Fritz Colonius, Wolfgang Kliemann

Journal:

Journal of Dynamics and Differential Equations

Year:

1993

Language:

english

File:

PDF, 1.41 MB

english, 1993

35

Minimal Bit Rates and Entropy for Exponential Stabilization

Colonius, Fritz

Journal:

SIAM Journal on Control and Optimization

Year:

2012

Language:

english

File:

PDF, 278 KB

english, 2012

36

Invariance Entropy for Control Systems

Colonius, Fritz, Kawan, Christoph

Journal:

SIAM Journal on Control and Optimization

Year:

2009

Language:

english

File:

PDF, 272 KB

english, 2009

37

Optimal Periodic Control: A Scenario for Local Properness

Colonius, Fritz

Journal:

SIAM Journal on Control and Optimization

Year:

1988

Language:

english

File:

PDF, 1.19 MB

english, 1988

38

Asymptotic Properties of Optimal Solutions in Planar Discounted Control Problems

Colonius, Fritz, Sieveking, Malte

Journal:

SIAM Journal on Control and Optimization

Year:

1989

Language:

english

File:

PDF, 2.14 MB

english, 1989

39

Stable and Regular Reachability for Relaxed Hereditary Differential Systems

Colonius, Fritz

Journal:

SIAM Journal on Control and Optimization

Year:

1982

Language:

english

File:

PDF, 2.08 MB

english, 1982

40

Addendum: Stable and Regular Reachability of Relaxed Hereditary Differential Systems

Colonius, Fritz

Journal:

SIAM Journal on Control and Optimization

Year:

1985

Language:

english

File:

PDF, 464 KB

english, 1985

41

[Systems & Control: Foundations & Applications] The Dynamics of Control || Stability Radii and Robust Stability

Colonius, Fritz, Kliemann, Wolfgang

Year:

2000

Language:

english

File:

PDF, 2.81 MB

english, 2000

42

A note on topological feedback entropy and invariance entropy

Colonius, Fritz, Kawan, Christoph, Nair, Girish

Journal:

Systems & Control Letters

Year:

2013

Language:

english

File:

PDF, 222 KB

english, 2013

43

[Systems & Control: Foundations & Applications] The Dynamics of Control || || Front_matter

Colonius, Fritz, Kliemann, Wolfgang

Year:

2000

Language:

english

File:

PDF, 705 KB

english, 2000

44

The Maximum Principle for Relaxed Hereditary Differential Systems with Function Space end Condition

Colonius, Fritz

Journal:

SIAM Journal on Control and Optimization

Year:

1982

Language:

english

File:

PDF, 1.82 MB

english, 1982

45

[Lecture Notes in Control and Information Sciences] Dynamics, Bifurcations, and Control Volume 273 || Controlling an Inverted Pendulum with Bounded Controls

Colonius, Fritz, Grüne, Lars

Year:

2002

Language:

english

File:

PDF, 808 KB

english, 2002

46

[Systems & Control: Foundations & Applications] The Dynamics of Control ||

Colonius, Fritz, Kliemann, Wolfgang

Year:

2000

Language:

english

File:

PDF, 705 KB

english, 2000

47

Conditionally Stationary Measures for Random Diffeomorphisms

Colonius, Fritz

Journal:

Year:

2013

Language:

english

File:

PDF, 186 KB

english, 2013

48

Growth rates for persistently excited linear systems

Chitour, Yacine, Colonius, Fritz, Sigalotti, Mario

Journal:

Mathematics of Control, Signals, and Systems (MCSS)

Year:

2014

Language:

english

File:

PDF, 315 KB

english, 2014

49

Topological Fiber Entropy for Linear Flows on Vector Bundles

Colonius, Fritz, San Martin, Luiz A.B., Silva, Adriano J.

Journal:

Journal of Dynamical and Control Systems

Year:

2014

Language:

english

File:

PDF, 358 KB

english, 2014

50

Optimal control of linear retarded systems to small solutions

COLONIUS, FRITZ

Journal:

International Journal of Control

Year:

1982

Language:

english

File:

PDF, 540 KB

english, 1982