Suboptimal finite-time control of singular large scale discrete-time equations with delayed interconnections

Criteria for finite-time stability of singular large-scale discrete-time delay systems

“…It is notable that the proposed result is not true for 1 N  (normal singular discrete-time systems). In [8], the authors solved the suboptimal control problem of finite-time H  control and guaranteed cost control for linear singular large-scale discrete-time systems with delays and bounded disturbance. In this paper, building upon the results in [18] by Wu et al for general discrete time systems, we showed the finite-time stability of the system (1) without disturbance and control function.…”

“…There are few publications on the finite-time stability (FTS) of singular large-scale systems with delays. Most recently, V. N. Phat and colleagues have published some results on the finite-time stability and finite-time stabilization of singular, time-delayed large-scale systems in both continuous-time ( [7]) and discrete-time ( [8]) cases.…”