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Finite-Time Stability Tools for Control and Estimation

delete2021-01-01
delete28
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OA
AI
D
Denis Efimov *
A
Andrey Polyakov
DOI:10.1561/2600000026delete
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Abstract

Abstract

En 中文
This monograph presents some existing and new results on analysis and design of finite-time and fixed-time converging systems. Two main groups of approaches for analysis/synthesis of this kind of convergence are considered: based on Lyapunov functions and the theory of homogeneous systems. The focus is put on the dynamics described by ordinary differential equations, time-delay models and partial differential equations. Some popular control and estimation algorithms, which possess accelerated converge rates, are reviewed. The issues of discretization of finite-/fixed-time converging systems are discussed.
Keywords:
SLIDING-MODE CONTROL
TO-STATE STABILITY
HOMOGENEOUS LYAPUNOV FUNCTIONS
NONLINEAR-SYSTEMS
ASYMPTOTIC STABILITY
LINEAR-SYSTEMS
ROBUST STABILIZATION
TRACKING CONTROL
OBSERVER DESIGN
FEEDBACK

Journal

F
Foundations and Trends in Systems and Control
IF:
0.7
Papers:
12
Citations:
242

Organization

I
Inria
Scholars:
3.5K
Papers: 2.5K
Citations: 343