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BL
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| Record Number
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889445
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| Main Entry
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Guo, Shuli
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| Title & Author
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Stability and control of nonlinear time-varying systems /\ Shuli Guo, Lina Han.
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| Publication Statement
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Singapore :: Springer,, 2018.
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| Page. NO
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1 online resource (xix, 260 pages)
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| ISBN
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9789811089084
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: 9789811089091
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: 9789811342691
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: 9811089086
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: 9811089094
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: 9811342695
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9789811089077
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9811089078
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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
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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
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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
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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
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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
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| Abstract
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This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.
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| Subject
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Fuzzy systems.
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Nonlinear control theory.
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Nonlinear systems.
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Fuzzy systems.
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Nonlinear control theory.
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Nonlinear systems.
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| Subject
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TECHNOLOGY ENGINEERING-- Engineering (General)
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| Dewey Classification
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629.8/36
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| LC Classification
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QA402.35
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| Added Entry
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Han, Lina
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