Exponential Synchronization of Markovian Jump Complex Dynamical Networks with Uncertain Transition Rates and Mode-Dependent Coupling Delay

Akbari, Nasim; Sadr, Ali; Kazemy, Ali

doi:10.1007/s00034-020-01346-5

Cited by 6 publications

(1 citation statement)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In most of the practical networks, the abrupt variations often expose in system dynamics due to random failures, changes in the subsystem interconnections and information latching. Therefore, in order to tackle this issues, it is essential to describe CDNs with Markovian jumping parameters, where each state denotes in a discrete-time system with finite discrete jumping mode governed by the Markov process and few interesting results regarding Markov jump systems have been addressed in [21]- [23]. It is pointed that the above literatures have dealt with transition rates of Markov process are constants due to that the sojourn time between two jumps of the Markov chain is governed by exponential distribution.…”

Section: Introductionmentioning

confidence: 99%

Finite-time dissipative synchronization of discrete-time semi-Markovian jump complex dynamical networks with actuator faults

Sakthivel

Pallavi

et al. 2022

Soft Comput

View full text Add to dashboard Cite

This paper is concerned with the problem of finite-time synchronization for a class of discretetime semi-Markovian jumping complex dynamical networks(CDNs) with actuator faults based on reliable control. The main aim of this paper is to design a state feedback controller such that the resulting closed-loop system is finite-time synchronized under a prescribed dissipativity performance level even in the presence of actuator failures. Moreover, a stochastic nature followed by Bernoulli distribution is described in the considered networks due to the occurrence of probabilistic nature in time-varying delays. By composing a suitable Lyapunov-Krasovskii functional (LKF) containing triple summation terms with the aid of Kronecker product properties and utilizing free weighting matrix approach, sufficient criteria are established in terms of linear matrix inequalities (LMIs) that assures finite-time synchronization and meets the dissipativity performance to the addressed CDNs. The usefulness of the presented design scheme is finally verified by numerical examples.

show abstract

Section: Introductionmentioning

confidence: 99%