Suriyon Yimnet and Piyapong Niamsup. Finite-Time Stability of Discrete Linear Singular Switched Positive Systems with Time-Delay by a Mode-Dependent Average Dwell Time Approach. Dynamic Systems and Applications 29 (2020), No. 2, 192-219

https://doi.org/10.46719/dsa20202921

ABSTRACT.
The problem of positivity and finite-time stability for a class of discrete linear singular switched time-delay systems with mode-dependent average dwell time (MDADT) approach is investigated in this paper. New necessary and sufficient conditions for the positivity of the system are presented by employing the state-space singular value decomposition and monomial coordinate transformation methods. By establishing a novel copositive Lyapunov function and applying the MDADT switching strategy, some computable sufficient conditions are formulated to ensure the finite-time stability for a class of discrete linear singular switched positive time-delay systems in terms of algebraic linear matrix inequalities. Two numerical experiments are provided to illustrate the effectiveness and less conservativeness of the proposed results.

AMS (MOS) Subject Classification. 39A10.