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. Language: English