Stability analysis of two-dimensional systems by means of finitely constructed bilateral quadratic forms

被引：6

作者：

Ooba, T ^{[1
]}

Funahashi, Y

机构：

[1] Nagoya Inst Technol, Nagoya, Aichi 4668555, Japan

[2] Chukuo Univ, Fac Engn, Toyota 4700393, Japan

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 11期

关键词：

algebraic Riccati matrix inequalities; positive bilateral quadratic forms; stability robustness analysis; state-space stability; two-dimensional systems;

D O I：

10.1109/TAC.2004.837532

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Asymptotic stability of two-dimensional (2-D) systems in the state-space representation is studied. The concept of finitely constructed bilateral quadratic forms is introduced for the set of bilateral sequences of vectors, and the positivity of a bilateral quadratic form is characterized in terms of the solvability of an algebraic Riccati matrix inequality. A Lyapunov-like stability analysis of 2-D systems is conducted by resorting to positivity tests for a sequence of bilateral quadratic forms generated by a recurrence formula. The effectiveness is proved in an illustrative example.

引用

页码：2068 / 2073

页数：6

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