FINITE-TIME DISSIPATIVITY OF DISCRETE TIME REPEATED SCALAR NONLINEAR SYSTEMS

Abstract

This paper mainly discusses the issue of finite-time boundedness and dissipativity of discrete-time repeated scalar nonlinear systems with time-varying delays. Finite-time analysis of system is an important issue which deals with the bound of system trajectories over a fixed finite-time interval. The aim is to design an appropriate observer such that the resulting error system is finite-time stable and strictly finite-time (Q, S, R) dissipative. Employing the linear matrix inequality (LMI) approach together with a novel Lyapunov-Krasovskii functional, the sufficient conditions for the discrete-time system with repeated scalar nonlinearities to be finite-time bounded and finite-time dissipative are derived. Finally, based on the LMI conditions, a numerical example with simulation is provided to verify the efficiency of the derived theoretical results.