Research Catalog

Title

Stability theory of switched dynamical systems / Zhendong Sun, Shuzhi Sam Ge.

Author

Sun, Zhendong, 1968-

Publication

London ; New York : Springer, ©2011.

Items in the Library & Off-site

Details

Additional Authors

Ge, S. S. (Shuzhi S.)

Description

xix, 253 pages : illustrations (chiefly color); 24 cm.

Series Statement

Communications and control engineering

Uniform Title

Communications and control engineering.

Subject

• Stability
• Switching theory
• Dynamics
• Engineering
• stability
• kinetics (dynamics)
• engineering
• System theory
• Linear control systems > Stability
• Distribution (Probability theory)

Bibliography (note)

• Includes bibliographical references (p. 239-249) and index.

Contents

• 1. Introduction -- 2. Arbitrary Switching -- 3. Constrained Switching -- 4. Designed Switching -- 5. Connections and Implications --
• 1. Introduction -- 1.1. Switched Dynamical Systems -- 1.2. Stability and Stabilizability of Switched Systems -- 1.2.1. Guaranteed Stability Under Arbitrary Switching -- 1.2.2. Dwell-Time Stability -- 1.2.3. Autonomous Stability Under State-Driven Switching -- 1.2.4. Stochastic Stabilities Under Random Switching -- 1.2.5. Stabilizing Switching Design -- 1.3. Organizationof the Book -- 1.4. Notes and References -- 2. Arbitrary Switching -- 2.1. Preliminaries -- 2.2. Switched Nonlinear Systems -- 2.2.1. Common Lyapunov Functions -- 2.2.2. Converse Lyapunov Theorem -- 2.3. Switched Linear Systems -- 2.3.1. Relaxed System Frameworks -- 2.3.2. Universal Lyapunov Functions -- 2.3.3. Algebraic Criteria -- 2.3.4. Extended Coordinate Transformation and Set Invariance -- 2.3.5. Triangularizable Systems -- 2.4. Computational Issues -- 2.4.1. Approximating the Spectral Radius -- 2.4.2. An Invariant Set Approach -- 2.5. Notes and References -- 3. Constrained Switching -- 3.1. Introduction -- 3.2. Stochastic Stability -- 3.2.1. Introduction -- 3.2.2. Definitions and Preliminaries -- 3.2.3. Stability Criteria -- 3.3. Piecewise Linear Systems -- 3.3.1. Introduction -- 3.3.2. Piecewise Quadratic Lyapunov Function Approach -- 3.3.3. Surface Lyapunov Approach -- 3.3.4. Transition Analysis: A Graphic Approach -- 3.3.5. Conewise Linear Systems -- 3.4. Dwell-time Switching -- 3.4.1. Preliminaries -- 3.4.2. Homogeneous Polynomial Lyapunov Approach -- 3.4.3. Combined Switching -- 3.5. Notes and References -- 4. Designed Switching -- 4.1. Preliminaries -- 4.2. Stabilizationvia Time-Driven Switching -- 4.3. Stabilization via State-Feedback Switching: The Lyapunov Approach -- 4.3.1. Converse Lyapunov Theorems -- 4.3.2. Nonconvexity of Lyapunov Functions -- 4.3.3. Min Quadratic Lyapunov Functions: An Optimization Approach -- 4.3.4. Well-Definedness of State-Feedback Stabilizing Law -- 4.4. Stabilization via Mixed-Driven Switching: Aggregation and Calculation -- 4.4.1. Pathwise State-Feedback Switching -- 4.4.2. Computational Algorithms -- 4.5. Stabilization via Mixed-Driven Switching: Robustness Analysis -- 4.5.1. Distance Between Switching Signals -- 4.5.2. Robustness Analysis -- 4.5.3. Examples and Simulations -- 4.6. Notes and References -- 5. Connections and Implications -- 5.1. Absolute Stability for Planar Lur'e Systems -- 5.1.1. Guaranteed Stability in the Plane -- 5.1.2. Application to Absolute Stability of Planar Lur'e Systems -- 5.2. Adaptive Control via Supervisory Switching -- 5.2.1. Preliminaries -- 5.2.2. Estimator-based Supervisory Switching -- 5.2.3. An Example -- 5.3. Stability Analysis of Fuzzy Systems via Piecewise Switching -- 5.3.1. Piecewise Switched Linear Systems -- 5.3.2. Stability Analysis of T-S Fuzzy Systems -- 5.4. Consensus of Multiagent Systems with Proximity Graphs -- 5.4.1. Introduction -- 5.4.2. AConsensus Criterion -- 5.4.3. A Verifiable Criterion -- 5.5. Stabilizing Design of Controllable Switched Linear Systems -- 5.5.1. Problem Formulation -- 5.5.2. Multilinear Feedback Design -- 5.6. Notes and References.

ISBN

• 9780857292551
• 0857292552
• 9780857292568
• 0857292560

LCCN

2011283884

OCLC

• ocn690089770
• 690089770
• SCSB-9200966

Owning Institutions

Princeton University Library