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Author ID: colonius.fritz Recent zbMATH articles by "Colonius, Fritz"
Published as: Colonius, Fritz; Colonius, F.
all top 5

Serials

12 SIAM Journal on Control and Optimization
7 Journal of Differential Equations
6 Journal of Dynamics and Differential Equations
5 Applied Mathematics and Optimization
5 Systems & Control Letters
5 MCSS. Mathematics of Control, Signals, and Systems
4 Journal of Dynamical and Control Systems
3 Transactions of the American Mathematical Society
3 Discrete and Continuous Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Systems & Control: Foundations & Applications
2 International Journal of Control
2 Proceedings of the American Mathematical Society
2 Ergodic Theory and Dynamical Systems
2 Linear Algebra and its Applications
2 Journal of Difference Equations and Applications
2 Stochastics and Dynamics
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 IEEE Transactions on Automatic Control
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Numerical Functional Analysis and Optimization
1 IMA Journal of Mathematical Control and Information
1 SIAM Journal on Applied Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Mathematical Systems, Estimation, and Control
1 Topological Methods in Nonlinear Analysis
1 Nonlinear Dynamics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications on Pure and Applied Analysis
1 SIAM Journal on Applied Dynamical Systems
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Oberwolfach Reports
1 GAMM-Mitteilungen
1 Proyecciones
1 Augsburger Mathematisch-Naturwissenschaftliche Schriften
1 Graduate Studies in Mathematics
1 Lecture Notes in Control and Information Sciences
1 Lecture Notes in Mathematics
1 Mathematical Control and Related Fields

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 758 times in 440 Documents Cited by Year
Extremal exponential growth rates of bilinear control systems. Zbl 0718.34091
Colonius, F.; Kliemann, W.
63
1989
The dynamics of control. With an appendix by Lars Grüne. Zbl 1020.93500
Colonius, Fritz; Kliemann, Wolfgang
52
2000
Invariance entropy for control systems. Zbl 1193.94049
Colonius, Fritz; Kawan, Christoph
46
2009
The dynamics of control. With an appendix by Lars Grüne. Zbl 0998.93502
Colonius, Fritz; Kliemann, Wolfgang
35
2000
A note on topological feedback entropy and invariance entropy. Zbl 1276.93050
Colonius, Fritz; Kawan, Christoph; Nair, Girish
29
2013
Stability for parameter estimation in two point boundary value problems. Zbl 0584.34009
Colonius, F.; Kunisch, K.
27
1986
Infinite time optimal control and periodicity. Zbl 0685.49002
Colonius, Fritz; Kliemann, Wolfgang
26
1989
Dynamical systems and linear algebra. Zbl 1306.37001
Colonius, Fritz; Kliemann, Wolfgang
21
2014
Some aspects of control systems as dynamical systems. Zbl 0784.34050
Colonius, Fritz; Kliemann, Wolfgang
20
1993
Output least squares stability in elliptic systems. Zbl 0656.93024
Colonius, F.; Kunisch, K.
17
1989
Linearizing equations with state-dependent delays. Zbl 0694.34050
Brokate, Martin; Colonius, Fritz
16
1990
The Morse spectrum of linear flows on vector bundles. Zbl 0864.58051
Colonius, Fritz; Kliemann, Wolfgang
15
1996
Minimal bit rates and entropy for exponential stabilization. Zbl 1257.93074
Colonius, Fritz
15
2012
Optimal periodic control. Zbl 0663.49011
Colonius, Fritz
14
1988
Optimal control of functional differential systems. Zbl 0438.49015
Colonius, F.; Hinrichsen, D.
14
1978
Morse decompositions and spectra on flag bundles. Zbl 1037.37009
Colonius, Fritz; Kliemann, Wolfgang
14
2002
Minimal and maximal Lyapunov exponents of bilinear control systems. Zbl 0769.34037
Colonius, Fritz; Kliemann, Wolfgang
13
1993
Invariance pressure for control systems. Zbl 1411.37073
Colonius, Fritz; Santana, Alexandre J.; Cossich, João A. N.
13
2019
Metric invariance entropy and conditionally invariant measures. Zbl 1390.37010
Colonius, Fritz
13
2018
On topological equivalence of linear lows with applications to bilinear control systems. Zbl 1129.37008
Ayala, Victor; Colonius, Fritz; Kliemann, Wolfgang
12
2007
The Lyapunov spectrum of families of time-varying matrices. Zbl 0873.93054
Colonius, Fritz; Kliemann, Wolfgang
12
1996
Invariance pressure of control sets. Zbl 1401.93114
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
11
2018
Invariance entropy, quasi-stationary measures and control sets. Zbl 1396.93109
Colonius, Fritz
11
2018
Optimal periodic control of retarded Liénard equations. Zbl 0584.93034
Colonius, F.
11
1985
Linear control semigroups acting on projective space. Zbl 0784.34049
Colonius, Fritz; Kliemann, Wolfgang
10
1993
Covering space for monotonic homotopy of trajectories of control systems. Zbl 1115.93022
Colonius, Fritz; Kızıl, Eyüp; San Martin, Luiz A. B.
9
2005
Controllability and stabilization of one-dimensional systems near bifurcation points. Zbl 0877.93091
Colonius, Fritz; Kliemann, Wolfgang
8
1995
Dynamical characterization of the Lyapunov form of matrices. Zbl 1076.15013
Ayala, Victor; Colonius, Fritz; Kliemann, Wolfgang
8
2005
Limit behavior and genericity for nonlinear control systems. Zbl 0812.93045
Colonius, Fritz; Kliemann, Wolfgang
8
1994
Near invariance for Markov diffusion systems. Zbl 1159.37421
Colonius, Fritz; Gayer, Tobias; Kliemann, Wolfgang
7
2008
Uniqueness of local control sets. Zbl 1129.93321
Colonius, Fritz; Spadini, Marco
7
2003
Controllability properties and invariance pressure for linear discrete-time systems. Zbl 1485.93061
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
7
2022
Hyperbolic control sets and chain control sets. Zbl 1016.93009
Colonius, F.; Du, Weihua
7
2001
Invariance entropy for outputs. Zbl 1248.94040
Colonius, Fritz; Kawan, Christoph
7
2011
Asymptotic behaviour of optimal control systems with low discount rates. Zbl 0677.49025
Colonius, Fritz
7
1989
Bounds for invariance pressure. Zbl 1435.93036
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
6
2020
The maximum principle for relaxed hereditary differential systems with function space end condition. Zbl 0525.49017
Colonius, Fritz
6
1982
Invariance entropy for topological semigroup actions. Zbl 1325.54020
Colonius, Fritz; Fukuoka, Ryuichi; Santana, Alexandre J.
6
2013
On approximate and exact null controllability of delay systems. Zbl 0548.93010
Colonius, Fritz
6
1984
Limits of input-to-state stability. Zbl 1157.93456
Colonius, Fritz; Kliemann, Wolfgang
5
2003
Topological, smooth, and control techniques for perturbed systems. Zbl 0937.93044
Colonius, Fritz; Kliemann, Wolfgang
5
1999
Local and global null controllability of time varying linear control systems. Zbl 0899.93004
Colonius, F.; Johnson, R.
5
1997
A note on the existence of Lagrange multipliers. Zbl 0538.90097
Colonius, Fritz
5
1983
Supports of invariant measures for piecewise deterministic Markov processes. Zbl 1384.93025
Benaïm, M.; Colonius, F.; Lettau, R.
5
2017
Structure theory and duality for the time varying retarded functional differential equations. Zbl 0688.34042
Colonius, Fritz; Manitius, Andrzej; Salamon, Dietmar
5
1989
Nonlinear Iwasawa decomposition of control flows. Zbl 1130.37044
Colonius, F.; Ruffino, P. R. C.
4
2007
Chain recurrence, growth rates and ergodic limits. Zbl 1134.37003
Colonius, Fritz; Fabbri, Roberta; Johnson, Russell
4
2007
A numerical study of capsizing: comparing control set analysis and Melnikov’s method. Zbl 1147.70318
Colonius, Fritz; Marquardt, Albert; Kreuzer, Edwin; Sichermann, Wolfgang
4
2008
Bifurcations of control systems: a view from control flows. Zbl 1203.93096
Colonius, Fritz; Kliemann, Wolfgang
4
2003
Lyapunov exponents of control flows. Zbl 0745.93029
Colonius, Fritz; Kliemann, Wolfgang
4
1991
Remarks on ergodic theory of stochastic flows and control flows. Zbl 0751.60051
Colonius, Fritz; Kliemann, Wolfgang
4
1992
Control sets for bilinear and affine systems. Zbl 1495.93017
Colonius, Fritz; Santana, Alexandre J.; Setti, Juliana
4
2022
Bifurcation phenomena in control flows. Zbl 1216.37007
Colonius, Fritz; Fabbri, Roberta; Johnson, Russell; Spadini, Marco
3
2007
Morse spectrum for nonautonomous differential equations. Zbl 1152.37012
Colonius, Fritz; Kloeden, Peter E.; Rasmussen, Martin
3
2008
Morse decomposition, attractors and chain recurrence. Zbl 1173.37011
Ayala, Jose; Corbin, Patrick; McConville, Kelly; Colonius, Fritz; Kliemann, Wolfgang; Peters, Justin
3
2006
Near invariance and local transience for random diffeomorphisms. Zbl 1194.37084
Colonius, Fritz; Homburg, Ale Jan; Kliemann, Wolfgang
3
2010
Decay rates for stabilization of linear continuous-time systems with random switching. Zbl 1425.93228
Colonius, Fritz; Mazanti, Guilherme
3
2019
Asymptotic null controllability of bilinear systems. Zbl 0837.93050
Colonius, Fritz; Kliemann, Wolfgang
3
1995
Optimal control of linear retarded systems to small solutions. Zbl 0493.49021
Colonius, Fritz
3
1982
Topological conjugacy for affine-linear flows and control systems. Zbl 1237.37020
Colonius, Fritz; Santana, Alexandre J.
3
2011
Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036
3
2002
On the classification of control sets. Zbl 1010.93015
Colonius, Fritz; Spadini, Marco
3
2002
Growth rates for persistently excited linear systems. Zbl 1300.93133
Chitour, Yacine; Colonius, Fritz; Sigalotti, Mario
3
2014
Stability radii and Lyapunov exponents. Zbl 0726.93057
Colonius, Fritz; Kliemann, Wolfgang
3
1990
Relative controllability properties. Zbl 1397.93023
Colonius, Fritz; Lettau, Ralph
3
2016
Controllability for systems with slowly varying parameters. Zbl 1063.93006
Colonius, Fritz; Fabbri, Roberta
2
2003
Quasi-ergodic limits for finite absorbing Markov chains. Zbl 1458.37004
Colonius, Fritz; Rasmussen, Martin
2
2021
Entropy of controlled invariant subspaces. Zbl 1285.93042
Colonius, Fritz; Helmke, Uwe
2
2014
Topological fiber entropy for linear flows on vector bundles. Zbl 1347.37032
Colonius, Fritz; San Martin, Luiz A. B.; da Silva, Adriano J.
2
2014
Stability of perturbed optimization problems with applications to parameter estimation. Zbl 0736.49017
Colonius, F.; Kunisch, K.
2
1991
Stochastic models with multistability and extinction levels. Zbl 0854.60056
Colonius, Fritz; de la Rubia, F. Javier; Kliemann, Wolfgang
2
1996
Outer invariance entropy for discrete-time linear systems on Lie groups. Zbl 1467.93202
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
2
2021
Six lectures on dynamical systems. Papers from the tutorial workshop, Augsburg, Germany, June 1994. Zbl 0901.00039
2
1996
Control theory and dynamical systems. Zbl 0919.34058
Colonius, Fritz; Kliemann, Wolfgang
2
1996
Asymptotic properties of optimal solutions in planar discounted control problems. Zbl 0688.49038
Colonius, Fritz; Sieveking, Malte
2
1989
Stabilization of uncertain linear systems. Zbl 0734.93068
Colonius, Fritz; Kliemann, Wolfgang
1
1991
Control systems with almost periodic excitations. Zbl 1194.93023
Colonius, Fritz; Wichtrey, Tobias
1
2009
Connecting orbits in perturbed systems. Zbl 1189.70096
Colonius, Fritz; Hüls, Thorsten; Rasmussen, Martin
1
2010
Spectral theory for perturbed systems. Zbl 1178.37048
Colonius, Fritz; Kliemann, Wolfgang
1
2009
Sensitivity analysis for optimization problems in Hilbert spaces with bilateral constraints. Zbl 0712.49026
Colonius, Fritz; Kunisch, Karl
1
1991
Special issue: Foundations of nonautonomous dynamical systems. Papers from the international workshop, Friedrichsdorf, Germany, September 28 – October 2, 2003. Zbl 1075.37501
1
2004
Collision of control sets. Zbl 0999.93028
Colonius, Fritz; Kliemann, Wolfgang
1
2001
Lyapunov spectrum and control sets. With a preface by Fritz Colonius. Zbl 0998.93503
Grünvogel, Stefan Michael
1
2000
Control sets for affine systems, spectral properties, and projective spaces. Zbl 1512.93018
Colonius, Fritz; Santana, Alexandre J.; Setti, Juliana
1
2023
An algebraic characterization of closed small attainability subspaces of delay systems. Zbl 0493.34058
Colonius, Fritz
1
1984
Stable and regular reachability for relaxed hereditary differential systems. Zbl 0525.49023
Colonius, Fritz
1
1982
A penalty function proof of a Lagrange multiplier theorem with application to linear delay systems. Zbl 0476.49017
Colonius, Fritz
1
1981
Optimality for periodic control of functional differential systems. Zbl 0615.49012
Colonius, F.
1
1986
Control sets for affine systems, spectral properties, and projective spaces. Zbl 1512.93018
Colonius, Fritz; Santana, Alexandre J.; Setti, Juliana
1
2023
Controllability properties and invariance pressure for linear discrete-time systems. Zbl 1485.93061
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
7
2022
Control sets for bilinear and affine systems. Zbl 1495.93017
Colonius, Fritz; Santana, Alexandre J.; Setti, Juliana
4
2022
Quasi-ergodic limits for finite absorbing Markov chains. Zbl 1458.37004
Colonius, Fritz; Rasmussen, Martin
2
2021
Outer invariance entropy for discrete-time linear systems on Lie groups. Zbl 1467.93202
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
2
2021
Bounds for invariance pressure. Zbl 1435.93036
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
6
2020
Invariance pressure for control systems. Zbl 1411.37073
Colonius, Fritz; Santana, Alexandre J.; Cossich, João A. N.
13
2019
Decay rates for stabilization of linear continuous-time systems with random switching. Zbl 1425.93228
Colonius, Fritz; Mazanti, Guilherme
3
2019
Metric invariance entropy and conditionally invariant measures. Zbl 1390.37010
Colonius, Fritz
13
2018
Invariance pressure of control sets. Zbl 1401.93114
Colonius, Fritz; Cossich, João A. N.; Santana, Alexandre J.
11
2018
Invariance entropy, quasi-stationary measures and control sets. Zbl 1396.93109
Colonius, Fritz
11
2018
Supports of invariant measures for piecewise deterministic Markov processes. Zbl 1384.93025
Benaïm, M.; Colonius, F.; Lettau, R.
5
2017
Relative controllability properties. Zbl 1397.93023
Colonius, Fritz; Lettau, Ralph
3
2016
Dynamical systems and linear algebra. Zbl 1306.37001
Colonius, Fritz; Kliemann, Wolfgang
21
2014
Growth rates for persistently excited linear systems. Zbl 1300.93133
Chitour, Yacine; Colonius, Fritz; Sigalotti, Mario
3
2014
Entropy of controlled invariant subspaces. Zbl 1285.93042
Colonius, Fritz; Helmke, Uwe
2
2014
Topological fiber entropy for linear flows on vector bundles. Zbl 1347.37032
Colonius, Fritz; San Martin, Luiz A. B.; da Silva, Adriano J.
2
2014
A note on topological feedback entropy and invariance entropy. Zbl 1276.93050
Colonius, Fritz; Kawan, Christoph; Nair, Girish
29
2013
Invariance entropy for topological semigroup actions. Zbl 1325.54020
Colonius, Fritz; Fukuoka, Ryuichi; Santana, Alexandre J.
6
2013
Minimal bit rates and entropy for exponential stabilization. Zbl 1257.93074
Colonius, Fritz
15
2012
Invariance entropy for outputs. Zbl 1248.94040
Colonius, Fritz; Kawan, Christoph
7
2011
Topological conjugacy for affine-linear flows and control systems. Zbl 1237.37020
Colonius, Fritz; Santana, Alexandre J.
3
2011
Near invariance and local transience for random diffeomorphisms. Zbl 1194.37084
Colonius, Fritz; Homburg, Ale Jan; Kliemann, Wolfgang
3
2010
Connecting orbits in perturbed systems. Zbl 1189.70096
Colonius, Fritz; Hüls, Thorsten; Rasmussen, Martin
1
2010
Invariance entropy for control systems. Zbl 1193.94049
Colonius, Fritz; Kawan, Christoph
46
2009
Control systems with almost periodic excitations. Zbl 1194.93023
Colonius, Fritz; Wichtrey, Tobias
1
2009
Spectral theory for perturbed systems. Zbl 1178.37048
Colonius, Fritz; Kliemann, Wolfgang
1
2009
Near invariance for Markov diffusion systems. Zbl 1159.37421
Colonius, Fritz; Gayer, Tobias; Kliemann, Wolfgang
7
2008
A numerical study of capsizing: comparing control set analysis and Melnikov’s method. Zbl 1147.70318
Colonius, Fritz; Marquardt, Albert; Kreuzer, Edwin; Sichermann, Wolfgang
4
2008
Morse spectrum for nonautonomous differential equations. Zbl 1152.37012
Colonius, Fritz; Kloeden, Peter E.; Rasmussen, Martin
3
2008
On topological equivalence of linear lows with applications to bilinear control systems. Zbl 1129.37008
Ayala, Victor; Colonius, Fritz; Kliemann, Wolfgang
12
2007
Nonlinear Iwasawa decomposition of control flows. Zbl 1130.37044
Colonius, F.; Ruffino, P. R. C.
4
2007
Chain recurrence, growth rates and ergodic limits. Zbl 1134.37003
Colonius, Fritz; Fabbri, Roberta; Johnson, Russell
4
2007
Bifurcation phenomena in control flows. Zbl 1216.37007
Colonius, Fritz; Fabbri, Roberta; Johnson, Russell; Spadini, Marco
3
2007
Morse decomposition, attractors and chain recurrence. Zbl 1173.37011
Ayala, Jose; Corbin, Patrick; McConville, Kelly; Colonius, Fritz; Kliemann, Wolfgang; Peters, Justin
3
2006
Covering space for monotonic homotopy of trajectories of control systems. Zbl 1115.93022
Colonius, Fritz; Kızıl, Eyüp; San Martin, Luiz A. B.
9
2005
Dynamical characterization of the Lyapunov form of matrices. Zbl 1076.15013
Ayala, Victor; Colonius, Fritz; Kliemann, Wolfgang
8
2005
Special issue: Foundations of nonautonomous dynamical systems. Papers from the international workshop, Friedrichsdorf, Germany, September 28 – October 2, 2003. Zbl 1075.37501
1
2004
Uniqueness of local control sets. Zbl 1129.93321
Colonius, Fritz; Spadini, Marco
7
2003
Limits of input-to-state stability. Zbl 1157.93456
Colonius, Fritz; Kliemann, Wolfgang
5
2003
Bifurcations of control systems: a view from control flows. Zbl 1203.93096
Colonius, Fritz; Kliemann, Wolfgang
4
2003
Controllability for systems with slowly varying parameters. Zbl 1063.93006
Colonius, Fritz; Fabbri, Roberta
2
2003
Morse decompositions and spectra on flag bundles. Zbl 1037.37009
Colonius, Fritz; Kliemann, Wolfgang
14
2002
Dynamics, bifurcations, and control. 3rd nonlinear control workshop, Kloster Irsee, Germany, April 1–3, 2001. Zbl 0994.00036
3
2002
On the classification of control sets. Zbl 1010.93015
Colonius, Fritz; Spadini, Marco
3
2002
Hyperbolic control sets and chain control sets. Zbl 1016.93009
Colonius, F.; Du, Weihua
7
2001
Collision of control sets. Zbl 0999.93028
Colonius, Fritz; Kliemann, Wolfgang
1
2001
The dynamics of control. With an appendix by Lars Grüne. Zbl 1020.93500
Colonius, Fritz; Kliemann, Wolfgang
52
2000
The dynamics of control. With an appendix by Lars Grüne. Zbl 0998.93502
Colonius, Fritz; Kliemann, Wolfgang
35
2000
Lyapunov spectrum and control sets. With a preface by Fritz Colonius. Zbl 0998.93503
Grünvogel, Stefan Michael
1
2000
Topological, smooth, and control techniques for perturbed systems. Zbl 0937.93044
Colonius, Fritz; Kliemann, Wolfgang
5
1999
Local and global null controllability of time varying linear control systems. Zbl 0899.93004
Colonius, F.; Johnson, R.
5
1997
The Morse spectrum of linear flows on vector bundles. Zbl 0864.58051
Colonius, Fritz; Kliemann, Wolfgang
15
1996
The Lyapunov spectrum of families of time-varying matrices. Zbl 0873.93054
Colonius, Fritz; Kliemann, Wolfgang
12
1996
Stochastic models with multistability and extinction levels. Zbl 0854.60056
Colonius, Fritz; de la Rubia, F. Javier; Kliemann, Wolfgang
2
1996
Six lectures on dynamical systems. Papers from the tutorial workshop, Augsburg, Germany, June 1994. Zbl 0901.00039
2
1996
Control theory and dynamical systems. Zbl 0919.34058
Colonius, Fritz; Kliemann, Wolfgang
2
1996
Controllability and stabilization of one-dimensional systems near bifurcation points. Zbl 0877.93091
Colonius, Fritz; Kliemann, Wolfgang
8
1995
Asymptotic null controllability of bilinear systems. Zbl 0837.93050
Colonius, Fritz; Kliemann, Wolfgang
3
1995
Limit behavior and genericity for nonlinear control systems. Zbl 0812.93045
Colonius, Fritz; Kliemann, Wolfgang
8
1994
Some aspects of control systems as dynamical systems. Zbl 0784.34050
Colonius, Fritz; Kliemann, Wolfgang
20
1993
Minimal and maximal Lyapunov exponents of bilinear control systems. Zbl 0769.34037
Colonius, Fritz; Kliemann, Wolfgang
13
1993
Linear control semigroups acting on projective space. Zbl 0784.34049
Colonius, Fritz; Kliemann, Wolfgang
10
1993
Remarks on ergodic theory of stochastic flows and control flows. Zbl 0751.60051
Colonius, Fritz; Kliemann, Wolfgang
4
1992
Lyapunov exponents of control flows. Zbl 0745.93029
Colonius, Fritz; Kliemann, Wolfgang
4
1991
Stability of perturbed optimization problems with applications to parameter estimation. Zbl 0736.49017
Colonius, F.; Kunisch, K.
2
1991
Stabilization of uncertain linear systems. Zbl 0734.93068
Colonius, Fritz; Kliemann, Wolfgang
1
1991
Sensitivity analysis for optimization problems in Hilbert spaces with bilateral constraints. Zbl 0712.49026
Colonius, Fritz; Kunisch, Karl
1
1991
Linearizing equations with state-dependent delays. Zbl 0694.34050
Brokate, Martin; Colonius, Fritz
16
1990
Stability radii and Lyapunov exponents. Zbl 0726.93057
Colonius, Fritz; Kliemann, Wolfgang
3
1990
Extremal exponential growth rates of bilinear control systems. Zbl 0718.34091
Colonius, F.; Kliemann, W.
63
1989
Infinite time optimal control and periodicity. Zbl 0685.49002
Colonius, Fritz; Kliemann, Wolfgang
26
1989
Output least squares stability in elliptic systems. Zbl 0656.93024
Colonius, F.; Kunisch, K.
17
1989
Asymptotic behaviour of optimal control systems with low discount rates. Zbl 0677.49025
Colonius, Fritz
7
1989
Structure theory and duality for the time varying retarded functional differential equations. Zbl 0688.34042
Colonius, Fritz; Manitius, Andrzej; Salamon, Dietmar
5
1989
Asymptotic properties of optimal solutions in planar discounted control problems. Zbl 0688.49038
Colonius, Fritz; Sieveking, Malte
2
1989
Optimal periodic control. Zbl 0663.49011
Colonius, Fritz
14
1988
Stability for parameter estimation in two point boundary value problems. Zbl 0584.34009
Colonius, F.; Kunisch, K.
27
1986
Optimality for periodic control of functional differential systems. Zbl 0615.49012
Colonius, F.
1
1986
Optimal periodic control of retarded Liénard equations. Zbl 0584.93034
Colonius, F.
11
1985
On approximate and exact null controllability of delay systems. Zbl 0548.93010
Colonius, Fritz
6
1984
An algebraic characterization of closed small attainability subspaces of delay systems. Zbl 0493.34058
Colonius, Fritz
1
1984
A note on the existence of Lagrange multipliers. Zbl 0538.90097
Colonius, Fritz
5
1983
The maximum principle for relaxed hereditary differential systems with function space end condition. Zbl 0525.49017
Colonius, Fritz
6
1982
Optimal control of linear retarded systems to small solutions. Zbl 0493.49021
Colonius, Fritz
3
1982
Stable and regular reachability for relaxed hereditary differential systems. Zbl 0525.49023
Colonius, Fritz
1
1982
A penalty function proof of a Lagrange multiplier theorem with application to linear delay systems. Zbl 0476.49017
Colonius, Fritz
1
1981
Optimal control of functional differential systems. Zbl 0438.49015
Colonius, F.; Hinrichsen, D.
14
1978
all top 5

Cited by 495 Authors

55 Colonius, Fritz
26 Souza, Josiney A.
18 Ayala, Victor
17 Kliemann, Wolfgang H.
17 Silva, Adriano Da
15 Kawan, Christoph
15 Santana, Alexandre J.
12 San Martin, Luiz Antonio Barrera
10 Rasmussen, Martin
9 Huang, Yu
9 Kızıl, Eyüp
8 Braga Barros, Carlos José
8 Grüne, Lars
7 Kunisch, Karl
7 Zhong, Xingfu
6 Cossich, João A. N.
6 Grammel, Götz
6 Kloeden, Peter Eris
6 Sigalotti, Mario
6 Wirth, Fabian Roger
5 Fabbri, Roberta
5 Hartung, Ferenc
5 Hüls, Thorsten
5 Johnson, Russell Allan
5 Liberzon, Daniel
5 Patrão, Mauro
5 Pogromsky, Alexander Yu.
5 Pötzsche, Christian
5 Rocha, Victor H. L.
4 Catuogno, Pedro José
4 Chitour, Yacine
4 Davydov, Alekseĭ Aleksandrovich
4 Hamzi, Boumediene
4 Matveev, Alexey S.
4 Reis, Ronan A.
4 Ruffino, Paulo Régis C.
4 Seco, Lucas
4 Stelmastchuk, Simão N.
4 Strickler, Edouard
4 Tozatti, Hélio V. M.
4 Wang, Tao
4 Wu, Jianhong
3 Alt, Walter
3 Ayers, Kimberly
3 Benaïm, Michel
3 Blot, Joël
3 Bochi, Jairo
3 Chen, Zhijing
3 Gaitsgory, Vladimir G.
3 Hespanha, João Pedro
3 Mazanti, Guilherme
3 Nair, Girish N.
3 Quyen, Tran Nhan Tam
3 Román-Flores, Heriberto E.
3 Scherzer, Otmar
3 Setti, Juliana
3 Verdejo, Humberto
3 Yang, Guosong
2 Artstein, Zvi
2 Baratchart, Laurent
2 Beltiţă, Daniel
2 Beltiţă, Ingrid
2 Belyakov, Anton O.
2 Bessa, Mário
2 Bien, Zeungnam Zenn
2 Bright, Ido
2 Chavent, Guy
2 Chyung, Dong Hak
2 Clarke, Francis H.
2 da Silva, Adriano J.
2 Da Silva, Fabiano Borges
2 Dellnitz, Michael
2 Engelborghs, Koen
2 Feng, Lirui
2 Gazor, Majid
2 Grünvogel, Stefan Michael
2 Han, Bo
2 Hartl, Richard F.
2 Hu, Qingwen
2 Huang, Zhihong
2 Hurth, Tobias
2 Jeyakumar, Vaithilingam
2 Kang, Wei
2 Khan, Akhtar Ali
2 Khlopin, Dmitriĭ Valer’evich
2 Kreuzer, Edwin J.
2 Lawson, Jimmie Don
2 Lee, Tong Heng
2 Li, Chunfa
2 Luzyanina, Tatyana
2 Mahale, Pallavi
2 Mallet-Paret, John Joseph
2 Manic, Ludmila
2 Mason, Paolo
2 Masterkov, Yuriĭ Viktorovich
2 Maurer, Helmut
2 Melo, Alison M. V. D. L.
2 Morgado, Leandro Batista
2 Neubauer, Andreas
2 Nijmeijer, Henk
...and 395 more Authors
all top 5

Cited in 133 Serials

36 Journal of Differential Equations
35 Systems & Control Letters
22 Journal of Dynamics and Differential Equations
22 Journal of Dynamical and Control Systems
13 Automatica
13 MCSS. Mathematics of Control, Signals, and Systems
12 Applied Mathematics and Optimization
11 Journal of Mathematical Analysis and Applications
11 Journal of Optimization Theory and Applications
10 SIAM Journal on Control and Optimization
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Semigroup Forum
7 Linear Algebra and its Applications
6 International Journal of Control
6 Numerische Mathematik
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Difference Equations and Applications
5 Discrete and Continuous Dynamical Systems
4 Inverse Problems
4 Journal of Computational and Applied Mathematics
4 Numerical Functional Analysis and Optimization
4 Stochastics and Dynamics
3 Journal of the Franklin Institute
3 Nonlinearity
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
3 Computing
3 Mathematische Nachrichten
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Topology and its Applications
3 Ergodic Theory and Dynamical Systems
3 Optimization
3 International Journal of Robust and Nonlinear Control
3 Journal of Inverse and Ill-Posed Problems
3 Nonlinear Dynamics
3 Abstract and Applied Analysis
3 Qualitative Theory of Dynamical Systems
3 Differential Equations
3 SIAM Journal on Applied Dynamical Systems
3 Proyecciones
3 Nonlinear Analysis. Theory, Methods & Applications
2 Mathematical Notes
2 Ukrainian Mathematical Journal
2 Journal of Mathematical Economics
2 Physica D
2 Journal of Economic Dynamics & Control
2 Forum Mathematicum
2 Applied Mathematical Modelling
2 Mathematical Programming. Series A. Series B
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of Mathematical Sciences (New York)
2 NoDEA. Nonlinear Differential Equations and Applications
2 Sbornik: Mathematics
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Vietnam Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Journal of Evolution Equations
2 Differentsial’nye Uravneniya i Protsessy Upravleniya
2 Dynamical Systems
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Modern Physics Letters A
1 Advances in Applied Probability
1 Applicable Analysis
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Physica A
1 Chaos, Solitons and Fractals
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Geometriae Dedicata
1 Integral Equations and Operator Theory
1 Journal of the London Mathematical Society. Second Series
1 Zeitschrift für Analysis und ihre Anwendungen
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Applied Mathematics Letters
1 The Annals of Applied Probability
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 European Journal of Operational Research
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Stochastic Processes and their Applications
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Stochastics and Stochastics Reports
1 Russian Mathematics
1 Set-Valued Analysis
1 The Journal of Analysis
1 Applied Mathematics. Series B (English Edition)
1 Annales Mathématiques Blaise Pascal
...and 33 more Serials
all top 5

Cited in 42 Fields

219 Systems theory; control (93-XX)
156 Dynamical systems and ergodic theory (37-XX)
118 Ordinary differential equations (34-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
41 Numerical analysis (65-XX)
27 Topological groups, Lie groups (22-XX)
27 Probability theory and stochastic processes (60-XX)
26 Operator theory (47-XX)
20 Partial differential equations (35-XX)
18 Information and communication theory, circuits (94-XX)
17 Operations research, mathematical programming (90-XX)
17 Biology and other natural sciences (92-XX)
10 General topology (54-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Algebraic topology (55-XX)
7 Group theory and generalizations (20-XX)
7 Difference and functional equations (39-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Algebraic geometry (14-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 General and overarching topics; collections (00-XX)
5 Functional analysis (46-XX)
5 Mechanics of particles and systems (70-XX)
4 Manifolds and cell complexes (57-XX)
4 Computer science (68-XX)
4 Mechanics of deformable solids (74-XX)
3 Abstract harmonic analysis (43-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Associative rings and algebras (16-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Relativity and gravitational theory (83-XX)
1 Commutative algebra (13-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)

Citations by Year