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TitleAdvances in Mathematical Systems Theory [electronic resource] : A Volume in Honor of Diederich Hinrichsen / edited by Fritz Colonius, Uwe Helmke, Dieter Prรคtzel-Wolters, Fabian Wirth
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2001
Connect tohttp://dx.doi.org/10.1007/978-1-4612-0179-3
Descript XXX, 299 p. online resource

CONTENT

1 Transitory Behavior of Uncertain Systems -- 1.1 Introduction -- 1.2 Transient Excursions -- 1.3 Pseudospectra and Spectral Value Sets -- 1.4 State Feedback -- 1.5 Transient Excursions of Uncertain Systems -- 2 Robust Stability of Multivariate Polynomials -- 2.1 Introduction -- 2.2 Basic Notions and Definitions -- 2.2.1 Classes of Stable Polynomials -- 2.3 Properties of Stable Polynomials -- 2.4 Zero Exclusion Principle -- 3 Robustness of Nonlinear Systems and Their Domains of Attraction -- 3.1 Introduction -- 3.2 Preliminaries -- 3.3 Linearization Theory -- 3.4 Calculating the Local Stability Radius -- 3.5 Robust Domains of Attraction -- 3.6 An Optimal Control Characterization of the Robust Domain of Attraction -- 3.7 Conclusion -- 4 On Stability Radii of Slowly Time-Varying Systems -- 4.1 Introduction -- 4.2 Perturbation Classes -- 4.3 Stability of Nonlinearly Perturbed Linear Systems -- 4.4 Stability Radii of Slowly Time-Varying Systems -- 4.5 Two Lemmas -- 4.6 Conclusions -- 5 An Invariance Radius for Nonlinear Systems -- 5.1 Introduction -- 5.2 Background on Invariant Control Sets and Chain Control Sets -- 5.3 An Invariance Radius for Nonlinear Systems -- 6 State and Continuity -- 6.1 Introduction -- 6.2 Linear Differential Systems -- 6.3 Latent Variables -- 6.4 State Representations -- 6.5 Smoothing Functionals -- 6.6 Main Results -- 6.7 Proofs -- 6.8 Remarks -- 7 Parameterization of Conditioned Invariant Subspaces -- 7.1 Introduction -- 7.2 Preliminaries -- 7.3 On Conditioned Invariant Subspaces -- 7.4 The State Space Approach -- 7.5 On the Parameterization of Conditioned Invariant Subspaces -- 7.6 Topology of Tight Conditioned Invariant Subspaces -- 7.7 Brunovsky Strata for Conditioned Invariant Subspaces.. -- 8 Duality Between Multidimensional Convolutional Codes and Systems -- 8.1 Introduction -- 8.2 Multidimensional Convolutional Codes -- 8.3 Duality Between Codes and Behaviors -- 8.4 First-Order Representations for One-Dimensional Codes -- 8.5 Conclusion -- 9 Control of Rate-Bounded Hybrid Systems with Liveness Constraints -- 9.1 Introduction -- 9.2 Hybrid Machines -- 9.3 Liveness -- 9.4 Control -- 10 A General Principle of Marked Extraction -- 10.1 Introduction -- 10.2 Joint Production and the Substitution Theorem -- 10.3 Marked Extraction in Convex Sets -- 10.4 The Factorial Complex of a Krull Monoid -- 11 Between Mathematical Programming and Systems Theory: Linear Complementarity Systems -- 11.1 Introduction -- 11.2 Examples -- 11.3 Existence and uniqueness of solutions -- 11.4 Linear complementarity systems -- 11.5 A distributional interpretation -- 11.6 Well-posedness -- 11.7 Relay systems -- 11.8 Discontinuous dependence on initial conditions -- 11.9 Conclusions -- 12 Exact Controllability of Co-groups with One-Dimensional Input Operators -- 12.1 Introduction -- 12.2 System Description -- 12.3 Exact Controllability -- 12.4 Proofs of the Main Results -- 12.5 An Example -- 13 Normalized Coprime Factorizations for Strongly Stabilizable Systems -- 13.1 Introduction -- 13.2 Problem Formulation and Mathematical Background -- 13.3 Formulae for Normalized Coprime Factorizations -- 13.4 Application to Hybrid Flexible Structures -- 14 Low-Gain Integral Control of Infinite-Dimensional Regular Linear Systems Subject to Input Hysteresis -- 14.1 Introduction -- 14.2 Preliminaries on Regular Linear Systems -- 14.3 A Class of Causal Monotone Nonlinear Operators -- 14.4 Integral Control in the Presence of Input Nonlinearities Satisfying (N1) to (N8) -- 14.5 Hysteresis Nonlinearities Satisfying (N1) to (N8) -- 14.6 Example: Controlled Diffusion Process with Output Delay -- 14.7 Appendix


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