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.
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页码：2068 / 2073
页数：6
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