New delay-dependent criteria with fewer decisive variables for linear systems with interval time-varying delays
- Resource Type
- Conference
- Authors
- Zhang, Lian-Sheng; Wang, Shu-Xia; Xu, Chen
- Source
- 2017 29th Chinese Control And Decision Conference (CCDC) Control And Decision Conference (CCDC), 2017 29th Chinese. :4259-4264 May, 2017
- Subject
- General Topics for Engineers
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Stability criteria
Delays
Linear matrix inequalities
Numerical stability
Time-varying systems
Linear systems
Time-varying delay
Lyapunov-Krasovskii functional
Delay-range-dependent stability
Linear matrix inequalities (LMIs)
The convex combination
- Language
- ISSN
- 1948-9447
This note deals with the stability problem of linear system with time-varying delay in a given range. In order to analyze its stability, a new type of Lyapunov functional (LF) which incorporates more information on the delay and some triple-integral terms is constructed. By combining Jensen's integral inequality with a delay division technique, upper bound of LF derivative has been estimated more tightly and expressed as a convex combination with respect to a tuning parameter. New stability criteria with fewer decisive variables but less conservatism are derived in terms of linear matrix inequalities (LMIs). Numerical examples authenticate the effectiveness of the proposed method.