Computation of piecewise quadratic Lyapunov functions for hybrid systems

被引：855

作者：

Johansson, M ^{[1
]}

Rantzer, A ^{[1
]}

机构：

[1] Lund Inst Technol, Dept Automat Control, S-22100 Lund, Sweden

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 04期

关键词：

linear matrix inequalities; Lyapunov stability; piecewise linear systems;

D O I：

10.1109/9.664157

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a computational approach to stability analysis of nonlinear and hybrid systems, The search for a piecewise quadratic Lyapunov function is formulated as a convex optimization problem in terms of linear matrix inequalities, The relation to frequency domain methods such as the circle and Popov criteria is explained, Several examples are included to demonstrate the flexibility and power of the approach.

引用

页码：555 / 559

页数：5

共 16 条

[1]

AISERMAN MA, 1965, ABSOLUTE STABILITAT, P33

[2]

Andersson M., 1994, OBJECT ORIENTED MODE

[3]

Blanchini F, 1996, IEEE DECIS CONTR P, P1027, DOI 10.1109/CDC.1996.574629

[4]

BRARICKY MS, 1994, P 33 C DEC CONTR LAK, P3498

[5]

BRARICKY MS, 1995, THESIS MIT CAMBRIDGE

[6]

Filippov A.F., 1988, MATH ITS APPL SOVIET, V18

[7]

Gahinet P., 1995, LMI Control Toolbox

[8]

JOHANSSON M, 1997, P EUR CONTR C BRUSS

[9]

JOHANSSON M, 1996, COMPUTATION PIECEWIS

[10]

PETTERSSON S, 1996, THESIS CHALMERS U

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