A New Integral Inequality and Delay-Decomposition with Uncertain Parameter Approach to the Stability Analysis of Time-Delay Systems | Zendy

Haiyang Zhang | Zendy; Lianglin Xiong | Zendy; Qing Miao | Zendy; Yanmeng Wang | Zendy; Chen Peng | Zendy

Open Access

A New Integral Inequality and Delay-Decomposition with Uncertain Parameter Approach to the Stability Analysis of Time-Delay Systems

Author(s) -

Haiyang Zhang,

Lianglin Xiong,

Qing Miao,

Yanmeng Wang,

Chen Peng

Publication year - 2016

Publication title -

journal of difference equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7848

pISSN - 2356-7856

DOI - 10.1155/2016/6748170

Subject(s) - stability (learning theory) , inequality , control theory (sociology) , mathematics , decomposition , feature (linguistics) , mathematical optimization , computer science , mathematical analysis , control (management) , ecology , linguistics , philosophy , machine learning , artificial intelligence , biology

This paper is concerned with the problem of delay-dependent stability of time-delay systems. Firstly, it introduces a new useful integral inequality which has been proved to be less conservative than the previous inequalities. Next, the inequality combines delay-decomposition approach with uncertain parameters applied to time-delay systems, based on the new Lyapunov-Krasovskii functionals and new stability criteria for system with time-delay have been derived and expressed in terms of LMIs. Finally, a numerical example is provided to show the effectiveness and the less conservative feature of the proposed method compared with some recent results

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research