On Non-Lyapunov Stability of Linear Discrete Time Delay Systems: LMIs Approach

被引：0

作者：

Debeljkovic, Dragutin ^{[1
]}

Dimitrijevic, Nebojsa ^{[1
]}

Popov, Dejan ^{[1
]}

Stojanovic, Sreten ^{[2
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Belgrade, Serbia

[2] Univ Nis, Fac Technol Engn, Nish, Serbia

来源：

PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012) | 2012年

关键词：

Linear discrete time delay systems; asymptotic stability; practical stability; finite time stability; LMIs; ASYMPTOTIC STABILITY; CRITERIA;

D O I：

暂无

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 gives new contributions to the area of non-Lyapunov (finite time stability, technical stability, practical stability, final stability) for the particular class of linear discrete time delay systems. The idea of attractive practical stability is introduced for the first time. Moreover, based on the matrix inequalities and Lyapunov-like functions, some new sufficient conditions under which the linear discrete time delay system is finite time stable are given. Finally, an example is employed to verify the efficiency of the proposed Theorems as well as to show that results derived upon LMIs arc less restrictive than those based on a classical approach. To the best knowledge of authors, such results have not been reported yet.

引用

页码：1535 / 1540

页数：6

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