access icon free Stability and -gain analysis for discrete-time positive singular systems with unbounded time-varying delays

This study considers the stability and -gain analysis problem for discrete-time positive singular systems with unbounded time-varying delays. By proposing some new techniques and employing mathematical induction method, the authors first derive a sufficient condition to analyse the stability of the system. The authors then investigate the -gain by exploiting the monotonicity of state trajectory. They show that the -gain for the considered systems is independent of the magnitude of delays and fully determined by the system matrices. The validity of the theoretical results is demonstrated by a numerical example.

Inspec keywords: matrix algebra; time-varying systems; stability; delays; discrete time systems

Other keywords: stability; state trajectory monotonicity; discrete-time positive singular systems; mathematical induction method; ℓ∞-gain analysis problem; sufficient condition; system matrices; unbounded time-varying delays

Subjects: Algebra; Time-varying control systems; Discrete control systems; Stability in control theory; Distributed parameter control systems

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