Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection

T. La-inchua,Xinzhi Liu,P. Niamsup

doi:10.1155/2017/1972748

T. La-inchua, Xinzhi Liu + Show 1 more

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https://doi.org/10.1155/2017/1972748

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Journal: Complexity	Publication Date: Jan 1, 2017
Citations: 8	License type: CC BY 4.0

Affiliation: Chiang Mai University, University of Waterloo

Abstract

We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection. Time-delay functions are continuous but not necessarily differentiable. Based on Lyapunov stability theory and new integral bounding technique, finite-time stability of large-scale systems with interval time-varying delays in interconnection is derived. The finite-time stability criteria are delays-dependent and are given in terms of linear matrix inequalities which can be solved by various available algorithms. Numerical examples are given to illustrate effectiveness of the proposed method.

Highlights

We investigate finite-time stability of a class of nonlinear large-scale systems with interval time-varying delays in interconnection
It is well known that several real-world processes often depend on time-delay; namely, the present state depends on the past states
In [16, 17], some new bounding techniques have been developed and enhanced stability criteria for time-delay systems have been derived using these bounding techniques which are shown to be less conservative than some existing results which used Wirtinger-based or Jensen inequalities

Summary

Introduction

It is well known that several real-world processes often depend on time-delay; namely, the present state depends on the past states. In [16, 17], some new bounding techniques have been developed and enhanced stability criteria for time-delay systems have been derived using these bounding techniques which are shown to be less conservative than some existing results which used Wirtinger-based or Jensen inequalities. Motivated by the above discussions, we shall derive new FTS criteria for large-scale systems with interval time-varying delays in interconnection. (ii) By employing an improved integral inequality in [18], we derive new and less conservative FTS for large-scale interconnected systems with time-varying delays in terms of LMIs. The rest of this paper is organized as follows.

Problem Formulation and Preliminaries

Finite-Time Stability of Nonlinear Large-Scale Systems

Numerical Examples

Conclusion