Hybrid Dynamical Systems

1 Introduction.- 1.1 Hybrid Dynamical Systems.- 1.2 Controller and Sensor Switching Problems.- 1.3 Notation.- 2 Quadratic State Feedback Stabilizability via Controller Switching.- 2.1 Introduction.- 2.2 Quadratic Stabilizability via Asynchronous Controller Switching.- 2.3 The S-Procedure.- 2.4 A Sufficient Condition for Quadratic Stabilizability.- 2.5 The Case of Two Basic Controllers.- 2.6 Quadratic Stabilizability via Synchronous Switching.- 2.7 Illustrative Example.- 2.8 Proof of Theorem 2.3.1.- 3 Robust State Feedback Stabilizability with a Quadratic Storage Function and Controller Switching.- 3.1 Introduction.- 3.2 Uncertain Systems with Norm-Bounded Uncertainty.- 3.3 Robust Stabilizability via Asynchronous Controller Switching.- 3.4 Robust Stabilizability via Synchronous Switching.- 3.5 Illustrative Examples.- 4 H? Control with Synchronous Controller Switching.- 4.1 Introduction.- 4.2 State Feedback H? Control Problem.- 4.3 Output Feedback H? Control Problem.- 4.4 Illustrative Example.- 4.5 Output Feedback H? Control over Infinite Time.- 5 Absolute Stabilizability via Synchronous Controller Switching.- 5.1 Introduction.- 5.2 Uncertain Systems with Integral Quadratic Constraints.- 5.3 State Feedback Stabilizability via Synchronous Controller Switching.- 5.4 Output Feedback Stabilizability via Synchronous Controller Switching.- 5.5 A Necessary and Sufficient Condition for Output Feedback Stabilizability.- 5.6 A Constructive Method for Output Feedback Absolute Stabilization.- 5.7 Systems with Structured Uncertainty.- 5.8 Illustrative Example.- 6. Robust Output Feedback Controllability via Synchronous Controller Switching.- 6.1 Introduction.- 6.2 Robust Output Feedback Controllability.- 6.3 A Necessary and Sufficient Condition for Robust Controllability.- 7Optimal Robust State Estimation via Sensor Switching.- 7.1 Introduction.- 7.2 Robust Observability of Uncertain Linear Systems.- 7.3 Optimal Robust Sensor Scheduling.- 7.4 Model Predictive Sensor Scheduling.- 8 Almost Optimal Linear Quadratic Control Using Stable Switched Controllers.- 8.1 Introduction.- 8.2 Optimal Control via Stable Output Feedback Controllers.- 8.3 Construction of Almost Optimal Stable Switched Controller.- 9 Simultaneous Strong Stabilization of Linear Time-Varying Systems Using Switched Controllers.- 9.1 Introduction.- 9.2 The Problem of Simultaneous Strong Stabilization.- 9.3 A Method for Simultaneous Strong Stabilization.- References.