New Results On Stability Of Linear Discrete-Time Systems With Time-Varying Delay
IEEE ACCESS(2020)
摘要
This paper is concerned with the stability problem for linear discrete-time systems with a time-varying delay. Some relations between two general free-matrix-based summation inequalities are discussed. A novel Lyapunov-Krasovskii functional (LKF) is proposed by modifying the single- and double-summation LKF terms. As a result, a new stability condition is obtained by employing the general free-matrix-based summation inequalities reported recently. Numerical examples are given to show that the obtained stability condition is more relaxed than some of existing results.
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关键词
Delays, Numerical stability, Discrete-time systems, Stability criteria, Time-varying systems, Linear matrix inequalities, Discrete-time system, free-matrix-based inequality, Lyapunov functional, stability, time-varying delay
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