Abstract
This paper aims at deriving an efficient criterion for the robust stability analysis of discrete-time systems with time-varying delay. In the derivation, to obtain a larger stability region under the requirement of less computational complexity, this paper proposes a valuable method capable of establishing a less conservative stability criterion without using the free-weighting approach and an extremely augmented state. In parallel, the stabilization problem of systems with time-delayed control input is addressed in connection with the derived stability criterion.
Highlights
Over the last few decades, research on stability analysis of time-delay systems has rapidly accelerated owing to two main reasons
This paper aims at deriving an efficient criterion for the robust stability analysis of discrete-time systems with time-varying delay
The appearance of the reciprocally convex technique [22] has promoted the use of such an approach as a way to reduce the computational complexity and the conservatism of stability criteria
Summary
Over the last few decades, research on stability analysis of time-delay systems has rapidly accelerated owing to two main reasons. Numerous investigations and research have been carried out to establish further improved stability criteria for time-delay systems by taking one of the following approaches with the use of a more attractive Lyapunov-Krasovskii functional [7,8,9,10,11]: the free-weighting matrix approach [11,12,13], the descriptor system approach [14,15,16], the Jensen inequality approach [17,18,19], or the delaypartitioning approach [20, 21]. The attention of this paper is paid for simultaneously achieving the following two goals: deceasing the computational complexity and improving the performance of a stability criterion.
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