Edit Profile (opens in new tab) Colonius, Fritz Co-Author Distance Author ID: colonius.fritz Published as: Colonius, Fritz; Colonius, F. Documents Indexed: 118 Publications since 1976, including 6 Books and 3 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 117 Reviews Co-Authors: 58 Co-Authors with 99 Joint Publications 1,540 Co-Co-Authors all top 5 Co-Authors 24 single-authored 32 Kliemann, Wolfgang H. 14 Santana, Alexandre J. 7 Spadini, Marco 5 Cossich, João A. N. 5 Kawan, Christoph 5 Kunisch, Karl 4 Fabbri, Roberta 4 Hinrichsen, Diederich 4 Johnson, Russell Allan 4 San Martin, Luiz Antonio Barrera 3 Helmke, Uwe R. 3 Kloeden, Peter Eris 3 Rasmussen, Martin 3 Setti, Juliana 3 Siegmund, Stefan 2 Ayala, Victor 2 Gayer, Tobias 2 Grüne, Lars 2 Hamzi, Boumediene 2 Lettau, Ralph 2 Nair, Girish N. 2 Wirth, Fabian Roger 1 Aulbach, Bernd 1 Ayala, José L. 1 Benaïm, Michel 1 Brokate, Martin 1 Charalambous, Charalambos D. 1 Chitour, Yacine 1 Collins, Peter J. 1 Corbin, Patrick 1 da Silva, Adriano J. 1 de la Rubia, F. Javier 1 Downarowicz, Tomasz 1 Du, Weihua 1 Fukuoka, Ryuichi 1 Grünvogel, Stefan Michael 1 Hasan, Amani 1 Hilger, Stefan 1 Homburg, Ale Jan 1 Hüls, Thorsten 1 Jordan, Jens 1 Kızıl, Eyüp 1 Kreuzer, Edwin J. 1 Lamouki, Gholam Reza Rokni 1 Manitius, Andrzej Z. 1 Marquardt, Albert 1 Matsikis, Iakovos 1 Mazanti, Guilherme 1 McConville, Kelly S. 1 Peters, Justin R. 1 Prätzel-Wolters, Dieter 1 Ruffino, Paulo Régis C. 1 Sailer, Rudolf 1 Salamon, Dietmar Arno 1 Sichermann, Wolfgang 1 Sieveking, Malte 1 Sigalotti, Mario 1 Viscovini, Eduardo C. 1 Wichtrey, Tobias 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 all top 5 Fields 93 Systems theory; control (93-XX) 53 Ordinary differential equations (34-XX) 46 Dynamical systems and ergodic theory (37-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 7 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 2 Topological groups, Lie groups (22-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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