Further triple integral approach to mixed-delay-dependent stability of time-delay neutral systems

Ting Wang; Tao Li; Guobao Zhang; Shumin Fei

doi:10.1016/j.isatra.2017.05.010

Further triple integral approach to mixed-delay-dependent stability of time-delay neutral systems

ISA Trans. 2017 Sep:70:116-124. doi: 10.1016/j.isatra.2017.05.010. Epub 2017 May 30.

Authors

Ting Wang¹, Tao Li², Guobao Zhang³, Shumin Fei³

Affiliations

¹ School of Information Science and Technology, Nanjing Forestry University, Nanjing 210042, PR China. Electronic address: chunchun1010@163.com.
² School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China.
³ School of Automation, Southeast University, Nanjing 210096, PR China.

PMID: 28571756
DOI: 10.1016/j.isatra.2017.05.010

Abstract

This paper studies the asymptotic stability for a class of neutral systems with mixed time-varying delays. Through utilizing some Wirtinger-based integral inequalities and extending the convex combination technique, the upper bound on derivative of Lyapunov-Krasovskii (L-K) functional can be estimated more tightly and three mixed-delay-dependent criteria are proposed in terms of linear matrix inequalities (LMIs), in which the nonlinearity and parameter uncertainties are also involved, respectively. Different from those existent works, based on the interconnected relationship between neutral delay and state one, some novel triple integral functional terms are constructed and the conservatism can be effectively reduced. Finally, two numerical examples are given to show the benefits of the proposed criteria.

Keywords: Asymptotical stability; Mixed-delay-dependence; Neutral systems; Time-varying delay; Triple integral Lyapunov functional.