We study the state consensus problem for linear shift-invariant discrete-time homogeneous multiagent systems (MASs) over time-varying graphs. A novel approach based on small gain theorem is proposed to design control protocols both neutrally stable and unstable MASs. It shown that can be achieved MASs under uniform observability condition; MASs, entails more than observability. Two numerical ex...

In this paper we introduce the notion of a discrete-time negative imaginary system and we investigate its relations with discrete-time positive real system theory. In the framework presented here, discrete-time negative imaginary systems are defined in terms of a sign condition that must be satisfied in a domain of analyticity of the transfer function, in analogy with the case of discrete-time ...

The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based proposed In order make full use bound upper bounds difference Lyapunov-Krasovskii functional (LKF), augmented LKF some extra status information constructed. A new delay-range-dependent criteri...

This paper studies deterministic and stochastic fixed-time stability of autonomous nonlinear discrete-time (DT) systems. Lyapunov conditions are first presented under which the DT systems is certified. Extensions to perturbations as well noise then considered. For former, sensitivity for stable analyzed, it shown that attractiveness results from conditions. latter, sufficient in probability pre...

this paper presents a discrete-time single-server finite buffer n threshold policy queue with renewal input and discretemarkovian service process. the server terminates service whenever the system becomes empty, and recommencesservice as soon as the number of waiting customers in the queue is n. we obtain the system-length distributionsat pre-arrival and arbitrary epochs using the supplementary...