Abstract
This paper is concerned with the problem of global asymptotic stability of linear discrete-time systems with interval-like time-varying delay in the state. By utilizing the concept of delay partitioning, a new linear-matrix-inequality-(LMI-) based criterion for the global asymptotic stability of such systems is proposed. The proposed criterion does not involve any free weighting matrices but depends on both the size of delay and partition size. The developed approach is extended to address the problem of global asymptotic stability of state-delayed discrete-time systems with norm-bounded uncertainties. The proposed results are compared with several existing results.
Highlights
A source of instability for discrete-time systems is time delay which inevitably exists in various engineering systems
This paper studies the problem of stability analysis of linear discrete-time system with interval-like time-varying delay in the state
We have considered the problem of global asymptotic stability of linear discrete-time systems with interval-like time-varying delay in the state
Summary
A source of instability for discrete-time systems is time delay which inevitably exists in various engineering systems. Reference [7] (see [6] ) presents a novel delay-dependent linear-matrix-inequality(LMI-) based condition for the global asymptotic stability of linear discrete-time systems with interval-like time-varying delay. In the context of stability analysis of linear discrete systems with time-varying delay, the delay partitioning concept is first utilized in [30]. This paper studies the problem of stability analysis of linear discrete-time system with interval-like time-varying delay in the state. In this paper, inspired by the work of [6, 7, 30], an alternative to the approach presented in [29] for the stability analysis of linear discrete-time systems with.
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