Improved delay-dependent stability criteria for neutral-type systems with time-varying delays: a delayed decomposition approach

Abstract

This paper discusses the neutral system with time-varying delay. Firstly, by developing a delayed decomposition approach and introducing integral inequality approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs). Then, based on the Lyapunov method, delay-dependent stability criteria are devised by taking the relationship between the terms in the Leibniz–Newton formula into account. The criteria are derived in terms of LMIs, which can be easily solved by using various convex optimization algorithms. Three illustrative numerical examples are given to show the less conservatism of our obtained results and the effectiveness of the proposed method.

Keywords:

• delay decomposition approach
• time-varying delay
• linear matrix inequalities (LMIs)
• maximum allowable delay bound (MADB)
• integral inequality approach (IIA)