Infinite-dimensional representation of nD nonlinear state space systems

被引：0

作者：

Hanba, Shigeru ^{[1
]}

机构：

[1] Univ Ryukyus, Fac Engn, 1 Senbaru, Nishihara, Okinawa 9030213, Japan

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2023年 / 34卷 / 01期

关键词：

Multidimensional systems; Nonlinear control systems; Fornasini-Marchesini second model; Roesser model; Stability; Dissipativity; DISCRETE-TIME-SYSTEMS; FORNASINI-MARCHESINI; STABILITY ANALYSIS; LYAPUNOV EQUATION; DYNAMICAL-SYSTEMS; 2-D; STABILIZATION; THEOREM; MODELS;

D O I：

10.1007/s11045-022-00857-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Infinite-dimensional representation of nD nonlinear systems described either by the Fornasini-Marchesini second model or the Roesser model is constructed in this paper. The representation makes it possible to apply general theory of infinite-dimensional discrete-time dynamical systems to nD nonlinear systems, which renders characterizations of Lyapunov stability, asymptotic stability, and dissipativity of nD nonlinear systems.

引用

页码：163 / 177

页数：15

共 30 条

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