TY  - BOOK
AU  - Johansson,Mikael
TI  - Piecewise linear control systems: a computational approach 
T2  - Lecture notes in control and information sciences
SN  - 3540441247
AV  - TJ213 .J58 2003
PY  - 2003///]
CY  - Berlin, New York
PB  - Springer
KW  - Linear control systems
KW  - Piecewise linear topology
N1  - Includes bibliographical references and index (pages [185]-202); Table Of Contents; Introduction; Piecewise Linear Modeling; Model Representation; Solution Concepts; Uncertainty Models; Modularity and Interconnections; Piecewise Linear Function Representations; Comments and References; Structural Analysis; Equilibrium Points and the Steady-State Characteristic; Constraint Verification and Invariance; Detecting Attractive Sliding Modes on Cell Boundaries; Comments and References; Lyapunov Stability; Exponential Stability; Quadratic Stability; Conservatism of Quadratic Stability; From Quadratic to Piecewise Quadratic; Interlude: Describing Partition Properties; Piecewise Quadratic Lyapunov Functions; Analysis of Piecewise Linear Differential Inclusions; Analysis of Systems with Attractive Sliding Modes; Improving Computational Efficiency; Piecewise Linear Lyapunov Functions; A Unifying View; Comments and References; Dissipativity Analysis; Dissipativity Analysis via Convex Optimization; Computation of L2-induced Gain; Estimation of Transient Energy; Dissipative Systems with Quadratic Supply Rates; Comments and References; Controller Design; Quadratic Stabilization of Piecewise Linear Systems; Controller Synthesis based on Piecewise Quadratics; Comments and References; Selected Topics; Estimation of Regions of Attraction; Rigorous Analysis of Smooth Nonlinear Systems; Automated Partition Refinements; Fuzzy Logic Systems; Comments and References; Linear Hybrid Dynamical Systems; Linear Hybrid Dynamical Systems; Analysis using Discontinuous Lyapunov Functions; Stability Analysis using Lyapunov Functionals; Comments and References; Concluding Remarks; A. Computational Issues; Linear and Semidefinite Programming; Polyhedra, Polytopes, and Ellipsoids; Polyhedral Partitions; Constraint Matrices; On the S-procedure in Piecewise Quadratic Analysis; Comments and References; B. Proofs; Proofs from Chapter 2; Proofs from Chapter 4; Proofs from Chapter 5; Proofs from Chapter 6; Proofs from Chapter 7; Proofs from Chapter A; C. Bibliography
ER  -