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

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

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.

Suggested Citation

  • T. La-inchua & P. Niamsup & Xinzhi Liu, 2017. "Finite-Time Stability of Large-Scale Systems with Interval Time-Varying Delay in Interconnection," Complexity, Hindawi, vol. 2017, pages 1-11, January.
    • Handle: RePEc:hin:complx:1972748
    DOI: 10.1155/2017/1972748
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    Cited by:

    1. Puangmalai, Jirapong & Tongkum, Jakkrapong & Rojsiraphisal, Thaned, 2020. "Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 170-186.

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