Finite‐time asynchronous control for positive discrete‐time Markovian jump systems

Stabilisation for switched positive systems under extended asynchronous switching

“…In this paper, we construct a more practical and complex extended asynchronous switching closed‐loop system model. From this point of view, our obtained results are of more theoretical and practical significance in comparison with [20–28, 31, 34]. Remark 4 In [22], the proposed results require that all subsystems can be stabilisable, i.e.…”

“…The proof of Theorem 1 is completed. □ Remark 3 Recently, many scholars focused on the conventional asynchronous control issue caused by switching delay [20–28, 31, 34]. As a matter of fact, false alarm is also inevitable due to the existence of some environmental noises or disturbances in practical dynamic systems.…”

Exponential Stability for Continue-Time Switched Positive Delay Systems With All Unstable Subsystems

“…Unlike [17], [20], [30], positive constraints on system state variables are considered in this paper. In addition, the switching mechanism was not taken into account in [4], [10], [12] while the model in this paper included the switching behavior of subsystems. In [23], [24], the switching mechanism was considered but the subsystems of switched systems are all stable or partially stable, while the subsystems in this paper are all unstable.…”

“…As the fundamental problem of control systems, stability analysis is one of the most concerned topics for researchers. A great number of excellent results on stability analysis of positive systems have been published [4]- [6].…”

Finite-time boundedness of two-dimensional positive continuous-discrete systems in Roesser model

“…The finitetime stability admits that the state does not exceed a certain bound during a fixed finite-time interval, and it is different from Lyapunov stability. There are several results available on finite-time stability in the literature (Amato et al, 2011;Gao et al, 2018;Hu et al, 2019;Shang et al, 2019;Zhang et al, 2014Zhang et al, , 2016. For example, robust finite-time stability of impulsive dynamical linear systems subject to norm-bounded uncertainties was analyzed in Amato et al (2011).…”