{"product_id":"finitetime-stability-an-inputoutput-approach-9781119140528","title":"FiniteTime Stability An InputOutput Approach","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003e\u003ci\u003eSystematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, covering issues of analysis, design and robustness\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe interest in finite-time control has continuously grown in the last fifteen years. This book systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, with specific reference to linear time-varying systems and hybrid systems. It discusses analysis, design and robustness issues, and includes applications to real world engineering problems.\u003c\/p\u003e \u003cp\u003eWhile classical FTS has an important theoretical significance, IO-FTS is a more practical concept, which is more suitable for real engineering applications, the goal of the research on this topic in the coming years.\u003c\/p\u003e \u003cp\u003eKey features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eIncludes applications to real world engineering problems.\u003c\/li\u003e \u003cli\u003eInput-output finite-time stability (IO-FTS) is a practical concept, useful to study the behavior of a dynami\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003eList of Acronyms xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Finite-Time Stability (FTS) 1\u003c\/p\u003e \u003cp\u003e1.2 Input-Output Finite-Time Stability 6\u003c\/p\u003e \u003cp\u003e1.3 FTS and Finite-Time Convergence 10\u003c\/p\u003e \u003cp\u003e1.4 Background 10\u003c\/p\u003e \u003cp\u003e1.4.1 Vectors and signals 10\u003c\/p\u003e \u003cp\u003e1.4.2 Impulsive dynamical linear systems 12\u003c\/p\u003e \u003cp\u003e1.5 Book Organization 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Linear Time-Varying Systems: IO-FTS Analysis 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Problem Statement 15\u003c\/p\u003e \u003cp\u003e2.2 IO-FTS for \u003ci\u003eW\u003csub\u003e2\u003c\/sub\u003e\u003c\/i\u003e Exogenous Inputs 16\u003c\/p\u003e \u003cp\u003e2.2.1 Preliminaries 16\u003c\/p\u003e \u003cp\u003e2.2.2 Necessary and sufficient conditions for IO-FTS for \u003ci\u003eW\u003csub\u003e2\u003c\/sub\u003e\u003c\/i\u003e\u003ci\u003e\u003csub\u003e \u003c\/sub\u003e\u003c\/i\u003eexogenous inputs 22\u003c\/p\u003e \u003cp\u003e2.2.3 Computational issues 25\u003c\/p\u003e \u003cp\u003e2.3 A Sufficient Condition for IO-FTS for \u003ci\u003eW\u003csub\u003e∞\u003c\/sub\u003e\u003c\/i\u003e Inputs 26\u003c\/p\u003e \u003cp\u003e2.4 Summary 29\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Linear Time-Varying Systems: Design of IO Finite-Time Stabilizing Controllers 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 IO Finite-Time Stabilization via State Feedback 34\u003c\/p\u003e \u003cp\u003e3.2 IO-Finite-Time Stabilization via Output Feedback 36\u003c\/p\u003e \u003cp\u003e3.3 Summary 42\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. IO-FTS with Nonzero Initial Conditions 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Preliminaries 45\u003c\/p\u003e \u003cp\u003e4.2 Interpretation of the Norm of the Operator \u003ci\u003eLSNZ\u003c\/i\u003e 48\u003c\/p\u003e \u003cp\u003e4.3 Sufficient Conditions for IO-FTS-NZIC 52\u003c\/p\u003e \u003cp\u003e4.4 Design of IO Finite-Time Stabilizing Controllers NZIC 55\u003c\/p\u003e \u003cp\u003e4.4.1 State feedback 56\u003c\/p\u003e \u003cp\u003e4.4.2 Output feedback 57\u003c\/p\u003e \u003cp\u003e4.5 Summary 58\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. IO-FTS with Constrained Control Inputs 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Structured IO-FTS and Problem Statement 61\u003c\/p\u003e \u003cp\u003e5.2 Structured IO-FTS Analysis 63\u003c\/p\u003e \u003cp\u003e5.3 State Feedback Design 65\u003c\/p\u003e \u003cp\u003e5.4 Design of an Active Suspension Control System Using Structured IO-FTS 67\u003c\/p\u003e \u003cp\u003e5.5 Summary 70\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Robustness Issues and the Mixed \u003ci\u003e\u003cb\u003eH\u003csub\u003e∞\u003c\/sub\u003e\u003c\/b\u003e\u003c\/i\u003e\/FTS Control Problem 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Preliminaries 72\u003c\/p\u003e \u003cp\u003e6.1.1 System setting 72\u003c\/p\u003e \u003cp\u003e6.1.2 IO-FTS with an \u003ci\u003eH\u003csub\u003e∞\u003c\/sub\u003e\u003c\/i\u003e bound 73\u003c\/p\u003e \u003cp\u003e6.2 Robust and Quadratic IO-FTS with an \u003ci\u003eH\u003csub\u003e∞\u003c\/sub\u003e\u003c\/i\u003e Bound 77\u003c\/p\u003e \u003cp\u003e6.2.1 Main result 78\u003c\/p\u003e \u003cp\u003e6.2.2 A numerical example 80\u003c\/p\u003e \u003cp\u003e6.3 State Feedback Design 82\u003c\/p\u003e \u003cp\u003e6.3.1 Numerical example: Cont’d 85\u003c\/p\u003e \u003cp\u003e6.4 Case study: Quadratic IO-FTS with an \u003ci\u003eH\u003csub\u003e∞\u003c\/sub\u003e\u003c\/i\u003e Bound of the Inverted Pendulum 86\u003c\/p\u003e \u003cp\u003e6.5 Summary 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Impulsive Dynamical Linear Systems: IO-FTS Analysis 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Background 90\u003c\/p\u003e \u003cp\u003e7.1.1 Preliminary results for the \u003ci\u003eW\u003csub\u003e2\u003c\/sub\u003e\u003c\/i\u003e case 90\u003c\/p\u003e \u003cp\u003e7.2 Main Results: Necessary and Sufficient Conditions for IO-FTS in Presence of \u003ci\u003eW\u003csub\u003e2\u003c\/sub\u003e\u003c\/i\u003e Signals 91\u003c\/p\u003e \u003cp\u003e7.3 Example and Computational Issues 96\u003c\/p\u003e \u003cp\u003e7.4 Main Result: A Sufficient Condition for IO-FTS in Presence of \u003ci\u003eW\u003csub\u003e∞\u003c\/sub\u003e\u003c\/i\u003e Signals 98\u003c\/p\u003e \u003cp\u003e7.4.1 An illustrative example 99\u003c\/p\u003e \u003cp\u003e7.5 Summary 100\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Impulsive Dynamical Linear Systems: IO Finite-Time Stabilization via Dynamical Controllers 103\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Problem Statement 103\u003c\/p\u003e \u003cp\u003e8.2 IO Finite-Time Stabilization of IDLSs: \u003ci\u003eW\u003csub\u003e2\u003c\/sub\u003e\u003c\/i\u003e Signals 104\u003c\/p\u003e \u003cp\u003e8.2.1 A numerical example 107\u003c\/p\u003e \u003cp\u003e8.3 IO Finite-Time Stabilization of IDLSs: \u003ci\u003eW\u003csub\u003e∞\u003c\/sub\u003e\u003c\/i\u003e Signals 108\u003c\/p\u003e \u003cp\u003e8.3.1 Illustrative example: Cont’d 110\u003c\/p\u003e \u003cp\u003e8.4 Summary 111\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Impulsive Dynamical Linear Systems with Uncertain Resetting Times 113\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Arbitrary Switching 113\u003c\/p\u003e \u003cp\u003e9.2 Uncertain Switching 114\u003c\/p\u003e \u003cp\u003e9.3 Numerical Example 116\u003c\/p\u003e \u003cp\u003e9.3.1 Known resetting times 117\u003c\/p\u003e \u003cp\u003e9.3.2 Arbitrary switching 118\u003c\/p\u003e \u003cp\u003e9.3.3 Uncertain switching 118\u003c\/p\u003e \u003cp\u003e9.4 Summary 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10. Hybrid Architecture for Deployment of Finite-Time Control Systems 121\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Controller Architecture 121\u003c\/p\u003e \u003cp\u003e10.2 Examples 123\u003c\/p\u003e \u003cp\u003e10.2.1 Hybrid active suspension control 123\u003c\/p\u003e \u003cp\u003e10.2.2 Lateral collision avoidance system 124\u003c\/p\u003e \u003cp\u003e10.3 Summary 129\u003c\/p\u003e \u003cp\u003eA. Fundamentals on Linear Time-Varying Systems 131\u003c\/p\u003e \u003cp\u003eB. Schur Complements 137\u003c\/p\u003e \u003cp\u003eC. Computation of Feasible Solutions to Optimizations Problems\u003c\/p\u003e Involving DLMIs 139 \u003cp\u003eD. Solving Optimization Problems Involving DLMIs using MATLAB® 145\u003c\/p\u003e \u003cp\u003eE. Examples of Applications of IO-FTS Control Design to Real-World Systems 151\u003c\/p\u003e \u003cp\u003eReferences 159\u003c\/p\u003e \u003cp\u003eIndex 167\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406995464535,"sku":"9781119140528","price":110.15,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119140528.jpg?v=1730497825","url":"https:\/\/bookcurl.com\/products\/finitetime-stability-an-inputoutput-approach-9781119140528","provider":"Book Curl","version":"1.0","type":"link"}