access icon free Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities

This study considers the problem of stability analysis of discrete-time two-dimensional (2D) Roesser systems with interval time-varying delays. New 2D finite-sum inequalities, which provide a tighter lower bound than the existing ones based on 2D Jensen-type inequalities, are first developed. Based on an improved Lyapunov–Krasovskii functional, the newly derived inequalities are then utilised to establish delay-range-dependent linear matrix inequality-based stability conditions for a class of discrete time-delay 2D systems. The effectiveness of the obtained results is demonstrated by numerical examples.

Inspec keywords: Lyapunov methods; stability; multidimensional systems; delays; functional equations; time-varying systems; linear matrix inequalities; discrete time systems

Other keywords: stability analysis; interval time-varying delays; discrete-time 2D Roesser systems; discrete-time two-dimensional Roesser systems; delay-range-dependent linear matrix inequality-based stability conditions; discrete time-delay 2D systems; improved Lyapunov-Krasovskii functional; 2D finite-sum inequalities; tight-lower bound

Subjects: Discrete control systems; Distributed parameter control systems; Nonlinear and functional equations (numerical analysis); Stability in control theory; Time-varying control systems; Linear algebra (numerical analysis)

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