Regional asymptotic stability analysis for discrete-time delayed systems with saturation nonlinearity

• Published in: Nonlinear dynamics Vol. 67; no. 1; pp. 885 - 892
• Main Authors: Lee, S. M., Kwon, O. M., Park, Ju H.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2012; Springer Nature B.V
• Subjects: Asymptotic methods; Asymptotic properties; Automotive Engineering; Classical Mechanics; Control; Criteria; Discrete time systems; Dynamical Systems; Engineering; Linear matrix inequalities; Mathematical analysis; Matrix methods; Mechanical Engineering; Nonlinear dynamics; Nonlinear programming; Nonlinearity; Original Paper; Regional analysis; Saturation; Stability; Stability analysis; Stability criteria; Time delay systems; Vibration; Discrete-time systems; Sector nonlinearity; Saturation; LMI; Regional stability; Delay; Lyapunov function

This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional and LMI (linear matrix inequality) framework, new stability criteria are derived in terms of LMIs by using some properties of the s...