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Intro; Preface; Acknowledgements; Contents; About the Authors; Acronyms; Part I Stability and Control of Linear Time-Varying Systems Subject to Actuator Saturations; 1 Mathematical Modeling and Stability of Linear Uncertain Systems with Actuator Saturations; 1.1 Introduction; 1.2 Problem Statements, Mathematical Modeling, and Equilibrium Points; 1.3 Stability and Boundedness of Linear System with Saturation Inputs; 1.4 Stability of Linear System with Lipschitz Nonlinearity; 1.5 Robust Stability and Linear Matrix Inequalities; 1.5.1 Polytopic Uncertainty; 1.5.2 Norm Boundary Uncertainty
1.6 Example Analysis and Simulink1.7 Conclusion; References; 2 Equilibrium Points of Linear Systems with Single Saturated Input Under Commuting Conditions; 2.1 Introduction; 2.2 Properties of Commuting Matrices; 2.3 The Existence of Feedback Matrices in MIMO/SISO Control Systems; 2.3.1 Closed-Loop Control; 2.3.2 Open-Loop Control; 2.4 Equilibrium Points of SISO Control Systems with Single Input; 2.5 Example Analysis and Simulink; 2.6 Conclusion; References; 3 Stability and Closed Trajectory for Second-Order Control Systems with Single-Saturated Input; 3.1 Introduction
3.2 Criteria for Stability Analysis3.3 Criteria to the Closed Trajectory; 3.4 The Commutative Case; 3.5 Example and Simulation; 3.6 Conclusion; References; 4 Equilibrium Points of Second-Order Linear Systems with Single Saturated Input; 4.1 Introduction; 4.2 Problem Statements, Equilibrium Points; 4.3 Some Discussions and Numerical Simulation; 4.3.1 xeq,1,0 Being Stable Focus; 4.3.2 xeq,1,0 Being Unstable Focus (or Center); 4.3.3 xeq,1,0 Being Genuine Stable Node; 4.3.4 xeq,1,0 Being Unstable Node; 4.3.5 xeq,1,0 Being Saddle; 4.4 Conclusion; References
Part II Stability Analysis for Three Types of Nonlinear Time-Varying Systems5 Fuzzy Observer, Fuzzy Controller Design, and Common Hurwitz Matrices for a Class of Uncertain Nonlinear Systems; 5.1 Introduction; 5.2 Problem Statement; 5.3 Design the Fuzzy Observer; 5.4 Design the Fuzzy Controller; 5.5 Structures of the Common Hurwitz Matrices; 5.6 Numerical Simulation; 5.7 Conclusion; References; 6 Stability of Lurie Time-Varying Systems with Time-Varying Delay Feedbacks; 6.1 Introduction; 6.2 Problem Formulation and Preliminaries; 6.3 Some Results on Absolute Stability
6.4 Some Discussions on Solvable Conditions6.5 Numerical Examples; 6.6 Conclusion; References; 7 Stability Criteria on a Type of Differential Inclusions with Nonlinear Integral Delays; 7.1 Introduction; 7.2 Algebraic Criteria of Asymptotic Stability; 7.3 Numerical Example Analysis; 7.4 Conclusion; References; Part III Integral Inequalities and Their Applications in Time-Varying Nonlinear Systems; 8 Several Integral Inequalities; 8.1 Introduction; 8.2 Two Integral Inequalities; 8.3 Generalization of Two Integral Inequalities; 8.4 Conclusion; References
1.6 Example Analysis and Simulink1.7 Conclusion; References; 2 Equilibrium Points of Linear Systems with Single Saturated Input Under Commuting Conditions; 2.1 Introduction; 2.2 Properties of Commuting Matrices; 2.3 The Existence of Feedback Matrices in MIMO/SISO Control Systems; 2.3.1 Closed-Loop Control; 2.3.2 Open-Loop Control; 2.4 Equilibrium Points of SISO Control Systems with Single Input; 2.5 Example Analysis and Simulink; 2.6 Conclusion; References; 3 Stability and Closed Trajectory for Second-Order Control Systems with Single-Saturated Input; 3.1 Introduction
3.2 Criteria for Stability Analysis3.3 Criteria to the Closed Trajectory; 3.4 The Commutative Case; 3.5 Example and Simulation; 3.6 Conclusion; References; 4 Equilibrium Points of Second-Order Linear Systems with Single Saturated Input; 4.1 Introduction; 4.2 Problem Statements, Equilibrium Points; 4.3 Some Discussions and Numerical Simulation; 4.3.1 xeq,1,0 Being Stable Focus; 4.3.2 xeq,1,0 Being Unstable Focus (or Center); 4.3.3 xeq,1,0 Being Genuine Stable Node; 4.3.4 xeq,1,0 Being Unstable Node; 4.3.5 xeq,1,0 Being Saddle; 4.4 Conclusion; References
Part II Stability Analysis for Three Types of Nonlinear Time-Varying Systems5 Fuzzy Observer, Fuzzy Controller Design, and Common Hurwitz Matrices for a Class of Uncertain Nonlinear Systems; 5.1 Introduction; 5.2 Problem Statement; 5.3 Design the Fuzzy Observer; 5.4 Design the Fuzzy Controller; 5.5 Structures of the Common Hurwitz Matrices; 5.6 Numerical Simulation; 5.7 Conclusion; References; 6 Stability of Lurie Time-Varying Systems with Time-Varying Delay Feedbacks; 6.1 Introduction; 6.2 Problem Formulation and Preliminaries; 6.3 Some Results on Absolute Stability
6.4 Some Discussions on Solvable Conditions6.5 Numerical Examples; 6.6 Conclusion; References; 7 Stability Criteria on a Type of Differential Inclusions with Nonlinear Integral Delays; 7.1 Introduction; 7.2 Algebraic Criteria of Asymptotic Stability; 7.3 Numerical Example Analysis; 7.4 Conclusion; References; Part III Integral Inequalities and Their Applications in Time-Varying Nonlinear Systems; 8 Several Integral Inequalities; 8.1 Introduction; 8.2 Two Integral Inequalities; 8.3 Generalization of Two Integral Inequalities; 8.4 Conclusion; References