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Book Cover
E-book
Author Amato, Francesco

Title Finite-Time Stability
Published Newark : John Wiley & Sons, Incorporated, 2018

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Description 1 online resource (187 pages)
Contents Cover; Title Page; Copyright; Contents; Preface; List of Acronyms; Chapter 1 Introduction; 1.1 Finite-Time Stability (FTS); 1.2 Input-Output Finite-Time Stability; 1.3 FTS and Finite-Time Convergence; 1.4 Background; 1.4.1 Vectors and signals; 1.4.2 Impulsive dynamical linear systems; 1.5 Book Organization; Chapter 2 Linear Time-Varying Systems: IO-FTS Analysis; 2.1 Problem Statement; 2.2 IO-FTS for W2 Exogenous Inputs; 2.2.1 Preliminaries; 2.2.2 Necessary and sufficient conditions for IO-FTS for W2 exogenous inputs; 2.2.3 Computational issues
2.3 A Sufficient Condition for IO-FTS for W∞ Exogenous Inputs2.4 Summary; Chapter 3 Linear Time-Varying Systems: Design of IO Finite-Time Stabilizing Controllers; 3.1 IO Finite-Time Stabilization via State Feedback; 3.2 IO-Finite-Time Stabilization via Output Feedback; 3.3 Summary; Chapter 4 IO-FTS with Nonzero Initial Conditions; 4.1 Preliminaries; 4.2 Interpretation of the Norm of the Operator LSNZ; 4.3 Sufficient Conditions for IO-FTS-NZIC; 4.4 Design of IO Finite-Time Stabilizing Controllers NZIC; 4.4.1 State feedback; 4.4.2 Output feedback; 4.5 Summary
Chapter 5 IO-FTS with Constrained Control Inputs5.1 Structured IO-FTS and Problem Statement; 5.2 Structured IO-FTS Analysis; 5.3 State Feedback Design; 5.4 Design of an Active Suspension Control System Using Structured IO-FTS; 5.5 Summary; Chapter 6 Robustness Issues and the Mixed H∞/FTS Control Problem; 6.1 Preliminaries; 6.1.1 System setting; 6.1.2 IO-FTS with an H∞ bound; 6.2 Robust and Quadratic IO-FTS with an H∞ Bound; 6.2.1 Main result; 6.2.2 A numerical example; 6.3 State Feedback Design; 6.3.1 Numerical example: Cont'd
6.4 Case study: Quadratic IO-FTS with an H∞ Bound of the Inverted Pendulum6.5 Summary; Chapter 7 Impulsive Dynamical Linear Systems: IO-FTS Analysis; 7.1 Background; 7.1.1 Preliminary results for the W2 case; 7.2 Main Results: Necessary and Sufficient Conditions for IO-FTS in Presence of W2 Signals; 7.3 Example and Computational Issues; 7.4 Main Result: A Sufficient Condition for IO-FTS in Presence of W∞ Signals; 7.4.1 An illustrative example; 7.5 Summary; Chapter 8 Impulsive Dynamical Linear Systems: IO Finite-Time Stabilization via Dynamical Controllers; 8.1 Problem Statement
8.2 IO Finite-Time Stabilization of IDLSs: W2 Signals8.2.1 A numerical example; 8.3 IO Finite-Time Stabilization of IDLSs: W∞ Signals; 8.3.1 Illustrative example: Cont'd; 8.4 Summary; Chapter 9 Impulsive Dynamical Linear Systems with Uncertain Resetting Times; 9.1 Arbitrary Switching; 9.2 Uncertain Switching; 9.3 Numerical Example; 9.3.1 Known resetting times; 9.3.2 Arbitrary switching; 9.3.3 Uncertain switching; 9.4 Summary; Chapter 10 Hybrid Architecture for Deployment of Finite-Time Control Systems; 10.1 Controller Architecture; 10.2 Examples; 10.2.1 Hybrid active suspension control
Notes 10.2.2 Lateral collision avoidance system
Print version record
Subject Stability.
System design.
stability.
Stability
System design
Form Electronic book
Author De Tommasi, Gianmaria
Pironti, Alfredo
ISBN 9781119140566
1119140560