6533b86efe1ef96bd12cac26

RESEARCH PRODUCT

Finite-time stability analysis and stabilization for linear discrete-time system with time-varying delay

Zhuo ZhangHamid Reza KarimiHui ZhangZexu ZhangBo Zheng

subject

Stability conditionsDiscrete time systemComputer Networks and CommunicationsControl and Systems EngineeringControl theoryApplied MathematicsSignal ProcessingLinear matrixFinite timeControl and Systems Engineering; Signal Processing; Computer Networks and Communications; Applied MathematicsStability (probability)Mathematics

description

Abstract The problem of finite-time stability for linear discrete-time systems with time-varying delay is studied in this paper. In order to deal with the time delay, the original system is firstly transformed into two interconnected subsystems. By constructing a delay-dependent Lyapunov–Krasovskii functional and using a two-term approximation of the time-varying delay, sufficient conditions of finite-time stability are derived and expressed in terms of linear matrix inequalities (LMIs). The derived stability conditions can be applied into analyzing the finite-time stability and deriving the maximally tolerable delay. Compared with the existing results on finite-time stability, the derived stability conditions are less conservative. In addition, for the stabilization problem, we design the state-feedback controller. Finally, numerical examples are used to illustrate the effectiveness of the proposed method.

yearjournalcountryeditionlanguage
2014-06-01Journal of the Franklin Institute
https://doi.org/10.1016/j.jfranklin.2014.02.008