Asymptotic stability of systems with saturation constraints

被引：37

作者：

Hou, L ^{[1
]}

Michel, AN ^{[1
]}

机构：

[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 08期

基金：

美国国家科学基金会;

关键词：

asymptotic stability; Lyapunov stability; systems with saturation constraints;

D O I：

10.1109/9.704991

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the present paper the authors establish new sufficient conditions for the global asymptotic stability of linear systems operating on the unit hypercube in R(n) and of linear systems with partial state saturation constraints. They also determine a set of necessary and sufficient conditions for the global asymptotic stability of second order linear systems Kith saturation constraints on both states using the above results. Systems of the type considered herein are widely used in several areas of applications, including control systems, signal processing, and artificial neural networks.

引用

页码：1148 / 1154

页数：7

共 10 条

[1] [Anonymous], LECT NOTES CONTROL I
[2] Barker G., 1978, Linear and Multilinear Algebra, V5, P249
[3] A CHRONOLOGICAL BIBLIOGRAPHY ON SATURATING ACTUATORS
BERNSTEIN, DS
MICHEL, AN
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1995, 5 (05) : 375 - 380
[4] RECENT DIRECTIONS IN MATRIX STABILITY
HERSHKOWITZ, D
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 171 : 161 - 186
[5] ON THE EXISTENCE OF POSITIVE DIAGONAL-P SUCH THAT PA+ATP LESS THAN 0
KHALIL, HK
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (01) : 181 - 184
[6] ASYMPTOTIC STABILITY OF SYSTEMS OPERATING ON A CLOSED HYPERCUBE
LIU, D
MICHEL, AN
[J]. SYSTEMS & CONTROL LETTERS, 1992, 19 (04) : 281 - 285
[7] LIU DR, 1994, IEEE DECIS CONTR P, P1311, DOI 10.1109/CDC.1994.411140
[8] MANTRI R, P IEEE ISCAS 96 ATL, P60
[9] Michel AN, 1977, QUALITATIVE ANAL LAR
[10] Miller RK, 1982, ORDINARY DIFFERENTIA

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