Absolute exponential admissibility of switched descriptor delayed systems with sector-bounded nonlinearity

摘要

This paper focuses on the problem of absolute exponential admissibility of switched descriptor delayed systems with sector-bounded nonlinearity. Under the regularity and impulsiveness-free, this problem, by a model transformation, is converted to the exponential stability problem of differential subsystems and algebraic subsystems. Then the absolute exponential admissibility criteria are established on the average dwell time by using Lyapunov functional method and algebraic manipulation. Such criteria depend not only on the delay range but also on the decay rate. Finally, an illustrative numerical example is given to show the effectiveness of the obtained theoretical results.