Lyapunov Stability Analysis of Linear Time-Invariant Systems: Convex Optimization Approach

被引：0

作者：

Wang, Jianhong ^{[2
]}

Zhang, Zhenjuan ^{[1
]}

Gao, Yanbo ^{[2
]}

Lu, Guoping ^{[1
]}

机构：

[1] Nantong Univ, Sch Elect & Informat, Nantong 226019, Jiangsu, Peoples R China

[2] Nantong Univ, Sch Sci, Nantong 226019, Jiangsu, Peoples R China

来源：

2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年

基金：

中国国家自然科学基金;

关键词：

Lyapunov stability; Linear time-invariant systems; Linear matrix inequality; Theorem of alternatives; Convex optimization;

D O I：

10.1109/WCICA.2008.4593586

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Theorem of alternatives based on the separation theorems are proposed to provide systematic and unified proofs of necessary and sufficient conditions for solvability of Lyapunov inequality on P. As an application of the theorem of alternatives, we investigate the conditions for the existence of feasible solutions to Lyapunov inequality on P and obtain a restatement of the celebrated Lyapunov stability theorem for linear time-invariant systems.

引用

页码：4129 / +

页数：2

共 50 条

[21] ON THE SENSITIVITY ANALYSIS OF LINEAR TIME-INVARIANT SINGULAR SYSTEMS
MERTZIOS, BG
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1984, 31 (11): : 978 - 982
[22] ON THE ANALYSIS OF DISCRETE LINEAR TIME-INVARIANT SINGULAR SYSTEMS
LEWIS, FL
MERTZIOS, BG
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (04) : 506 - 511
[23] Controllability Analysis of Linear Time-Invariant Descriptor Systems
Mishra, Vikas Kumar
Tomar, Nutan Kumar
IFAC PAPERSONLINE, 2016, 49 (01): : 532 - 536
[24] Stability analysis of linear time-invariant systems in the presence of polytopic uncertainty and a time delay state
Roozbeh Abolpour
International Journal of Dynamics and Control, 2021, 9 : 945 - 956
[25] Stability analysis of linear time-invariant systems in the presence of polytopic uncertainty and a time delay state
Abolpour, Roozbeh
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2021, 9 (03) : 945 - 956
[26] An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
Olgac, N
Sipahi, R
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (05) : 793 - 797
[27] A NEW APPROACH TO THE DECOUPLING PROBLEM OF LINEAR TIME-INVARIANT SYSTEMS
PARASKEVOPOULOS, PN
KOUMBOULIS, FN
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1992, 329 (02): : 347 - 369
[28] AN ALTERNATIVE APPROACH TO STATE ESTIMATION IN LINEAR TIME-INVARIANT SYSTEMS
SEHITOGLU, H
MATHEMATICS AND COMPUTERS IN SIMULATION, 1983, 25 (04) : 356 - 365
[29] SIMULATION OF LINEAR TIME-INVARIANT SYSTEMS
OTHMER, FE
ARCHIV FUR ELEKTRONIK UND UBERTRAGUNGSTECHNIK, 1973, 27 (09): : 397 - 403
[30] CONTROLLABILITY OF LINEAR TIME-INVARIANT SYSTEMS
AEYELS, D
INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (06) : 2027 - 2034

← 1 2 3 4 5 →