Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach

被引：1

作者：

Mendoza-Avila, Jesus ^{[1
]}

Efimov, Denis ^{[2
,3
]}

Moreno, Jaime A. ^{[4
]}

Fridman, Leonid ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ingn, Mexico City 04510, DF, Mexico

[2] Univ Lille, INRIA, CNRS, UMR CRIStAL 9189, F-59000 Lille, France

[3] Univ ITMO, Dept Control Syst & Informat, St Petersburg 197101, Russia

[4] Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City 04510, DF, Mexico

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Stability of Nonlinear Systems; Singular Perturbations; Input-to-State Stability; Homogeneity; Lyapunov Methods; SMALL-GAIN THEOREM; LYAPUNOV FUNCTIONS; DESIGN;

D O I：

10.1016/j.ifacol.2020.12.1781

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the conditions of local or practical asymptotic stability of the interconnection are established by means of ISS properties and the Small-Gain Theorem. Moreover, the domains of stability and attractions are estimated. Finally, the results are illustrated through an example with a homogeneous system of negative degree. Copyright (C) 2020 The Authors.

引用

页码：6416 / 6421

页数：6

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