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Table of Contents
Cover ; Half Title; Series Editors; Title ; Copyright; Dedication; Contents; Preface; List of Figures; List of Tables; Contributors; Symbols and Abbreviations; Chapter 1 Introduction; 1.1 Why Study Intermittent Feedback?; 1.2 Historical Aspects and Related Notions; 1.3 Open Problems and Perspectives; 1.4 Notation; Part I Plant -Controller Applications; Chapter 2 Maximally Allowable Transfer Intervals with Time-Varying Delays and Model-Based Estima- tors; 2.1 Motivation, Applications and Related Works; 2.2 Impulsive Delayed Systems and Related Stability Notions.
2.3 Problem Statement: Stabilizing Transmission Intervals and De-lays2.4 Computing Maximally Allowable Transfer Intervals; 2.4.1 Lp-Stability with Bias of Impulsive Delayed LTI Sys-tems; 2.4.2 Obtaining MATIs via the Small-Gain Theorem; 2.5 Numerical Examples: Batch Reactor, Planar System and In-verted Pendulum; 2.5.1 Batch Reactor with Constant Delays; 2.5.2 Planar System with Constant Delays; 2.5.3 Inverted Pendulum with Time-Varying Delays; 2.6 Conclusions and Perspectives; 2.7 Proofs of Main Results; 2.7.1 Proof of Lemma 2.1; 2.7.2 Proof of Theorem 2.1; 2.7.3 Proof of Theorem 2.2.
2.7.4 Proof of Corollary 2.12.7.5 Proof of Proposition 2.1; Chapter 3 Input-Output Triggering; 3.1 Motivation, Applications and Related Works; 3.1.1 Motivational Example: Autonomous Cruise Control .; 3.1.2 Applications and Literature Review; 3.2 Impulsive Switched Systems and Related Stability Notions .; 3.3 Problem Statement: Self-Triggering from Input and Output Measurements; 3.4 Input-Output Triggered Mechanism; 3.4.1 Why Lp-gains over a Finite Horizon?; 3.4.2 Proposed Approach; 3.4.3 Design of Input-Output Triggering; 3.4.3.1 Cases 3.1 and 3.2; 3.4.3.2 Case 3.3.
3.4.4 Implementation of Input-Output Triggering3.5 Example: Autonomous Cruise Control; 3.6 Conclusions and Perspectives; 3.7 Proofs of Main Results; 3.7.1 Properties of Matrix Functions; 3.7.2 Proof of Theorem 3.1; 3.7.3 Proof of Theorem 3.2; 3.7.4 Proof of Results in Section 3.4.3; 3.7.4.1 Lp property over an arbitrary nite interval with constant ; 3.7.4.2 Extending bounds to (an arbitrarily long)
nite horizon; 3.7.4.3 Proof of Theorem 3.3; 3.7.4.4 Proof of Theorem 3.4; Chapter 4 Optimal Self-Triggering; 4.1 Motivation, Applications and Related Works.
4.2 Problem Statement: Performance Index Minimization4.3 Obtaining Optimal Transmission Intervals; 4.3.1 Input-Output-Triggering via the Small-Gain Theorem; 4.3.2 Dynamic Programming; 4.3.3 Approximate Dynamic Programming; 4.3.4 Approximation Architecture; 4.3.4.1 Desired Properties ; 4.3.5 Partially Observable States; 4.4 Example: Autonomous Cruise Control (Revisited); 4.5 Conclusions and Perspectives; Chapter 5 Multi-Loop NCSs over a Shared Communication Channels; 5.1 Motivation, Applications and Related Works; 5.1.1 Medium Access Control; 5.2 Markov Chains and Stochastic Stability.
2.3 Problem Statement: Stabilizing Transmission Intervals and De-lays2.4 Computing Maximally Allowable Transfer Intervals; 2.4.1 Lp-Stability with Bias of Impulsive Delayed LTI Sys-tems; 2.4.2 Obtaining MATIs via the Small-Gain Theorem; 2.5 Numerical Examples: Batch Reactor, Planar System and In-verted Pendulum; 2.5.1 Batch Reactor with Constant Delays; 2.5.2 Planar System with Constant Delays; 2.5.3 Inverted Pendulum with Time-Varying Delays; 2.6 Conclusions and Perspectives; 2.7 Proofs of Main Results; 2.7.1 Proof of Lemma 2.1; 2.7.2 Proof of Theorem 2.1; 2.7.3 Proof of Theorem 2.2.
2.7.4 Proof of Corollary 2.12.7.5 Proof of Proposition 2.1; Chapter 3 Input-Output Triggering; 3.1 Motivation, Applications and Related Works; 3.1.1 Motivational Example: Autonomous Cruise Control .; 3.1.2 Applications and Literature Review; 3.2 Impulsive Switched Systems and Related Stability Notions .; 3.3 Problem Statement: Self-Triggering from Input and Output Measurements; 3.4 Input-Output Triggered Mechanism; 3.4.1 Why Lp-gains over a Finite Horizon?; 3.4.2 Proposed Approach; 3.4.3 Design of Input-Output Triggering; 3.4.3.1 Cases 3.1 and 3.2; 3.4.3.2 Case 3.3.
3.4.4 Implementation of Input-Output Triggering3.5 Example: Autonomous Cruise Control; 3.6 Conclusions and Perspectives; 3.7 Proofs of Main Results; 3.7.1 Properties of Matrix Functions; 3.7.2 Proof of Theorem 3.1; 3.7.3 Proof of Theorem 3.2; 3.7.4 Proof of Results in Section 3.4.3; 3.7.4.1 Lp property over an arbitrary nite interval with constant ; 3.7.4.2 Extending bounds to (an arbitrarily long)
nite horizon; 3.7.4.3 Proof of Theorem 3.3; 3.7.4.4 Proof of Theorem 3.4; Chapter 4 Optimal Self-Triggering; 4.1 Motivation, Applications and Related Works.
4.2 Problem Statement: Performance Index Minimization4.3 Obtaining Optimal Transmission Intervals; 4.3.1 Input-Output-Triggering via the Small-Gain Theorem; 4.3.2 Dynamic Programming; 4.3.3 Approximate Dynamic Programming; 4.3.4 Approximation Architecture; 4.3.4.1 Desired Properties ; 4.3.5 Partially Observable States; 4.4 Example: Autonomous Cruise Control (Revisited); 4.5 Conclusions and Perspectives; Chapter 5 Multi-Loop NCSs over a Shared Communication Channels; 5.1 Motivation, Applications and Related Works; 5.1.1 Medium Access Control; 5.2 Markov Chains and Stochastic Stability.