Almost sure synchronization for nonlinear complex stochastic networks with Lévy noise

Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times

“…On the one hand, in the process of calculation, some problems are dealt with using robust ideas, which leads to the increase of system conservatism. On the other hand, when calculating the norm of the transfer matrix of the system, it can be seen in (18), (19), (48) and (49) that the method used will lead to more conservatism with the increase of dwell times. In addition, considering the existence of P 1i and P 2i as positive definite symmetric matrices rather than numbers, the result may be less conservative, but such consideration is contradictory to the derivation process and difficult to implement.…”

“…Up till now, it has been widely used in social economics [4]- [7], cytogenetics [8], [9], biomedical [10], aerospace [11] and various types of networked control [12]- [14]. Among the theoretical research results, stability and stabilization problems are the priorities to be concerned, such as [15]- [18]. When the transition rate or probability matrix is uncertain or partially unknown, some results were obtained in [19]- [21].…”