Stabilization of Nonlinear Fornasini-Marchesini Systems

被引：4
作者：
Emelianova, J. P. [1 ]
机构：
[1] Alekseev Nizhny Novgorod State Tech Univ, Arzamas Polytech Inst, Arzamas, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2018年 / 79卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
2D-systems; Fornasini-Marchesini model; stability; Lyapunov function; stabilizing control; linear matrix inequality (LMI); DYNAMICAL-SYSTEMS; STABILITY; PASSIVITY; MODELS;
D O I：
10.1134/S0005117918100132
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 considers the 2D systems described by the Fornasini-Marchesini state-space model. Direct and converse theorems on the exponential stability of such systems are proved in terms of vector Lyapunov functions. The concepts of exponential passivity and a vector storage function are introduced for solving exponential stabilization problems. An example is given to illustrate the efficiency of the new results.
引用
收藏
页码：1903 / 1911
页数：9
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