caa a22 4500 606204830 CHVBK 20210128101004.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s00034-014-9854-x doi (NATIONALLICENCE)springer-10.1007/s00034-014-9854-x Stochastic Sampled-Data Control for Exponential Synchronization of Markovian Jumping Complex Dynamical Networks with Mode-Dependent Time-Varying Coupling Delay [Elektronische Daten] [R. Rakkiyappan, N. Sakthivel] In this paper, we address the problem of exponential synchronization of Markovian jumping complex dynamical networks with mode-dependent time-varying coupling delay via a stochastic sampled-data controller. In addition, the sampling period is assumed to be time-varying and switches between $$m$$ m different values in a random way with given probability. By constructing a new Lyapunov-Krasovskii functional (LKF) with triple integral terms and by employing convex combination technique and free weighting matrices method, sufficient conditions for the coupled complex dynamical network to be globally exponentially synchronized in the mean square sense are derived. The information about the lower bound of the discrete time-varying delay is used in the LKF. Based on the derived condition, the desired sampled-data feedback controller is designed in terms of the solution to linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. Springer Science+Business Media New York, 2014 Complex dynamical networks nationallicence Exponential synchronization nationallicence Linear matrix inequalities nationallicence Stochastic sampled-data nationallicence Rakkiyappan R. Department of Mathematics, Bharathiar University, 641 046, Coimbatore, Tamilnadu, India aut Sakthivel N. Department of Mathematics, Bharathiar University, 641 046, Coimbatore, Tamilnadu, India aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/1(2015-01-01), 153-183 0278-081X 34:1<153 2015 34 34 https://doi.org/10.1007/s00034-014-9854-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9854-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rakkiyappan R. Department of Mathematics, Bharathiar University, 641 046, Coimbatore, Tamilnadu, India aut NATIONALLICENCE 700 1- Sakthivel N. Department of Mathematics, Bharathiar University, 641 046, Coimbatore, Tamilnadu, India aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/1(2015-01-01), 153-183 0278-081X 34:1<153 2015 34 34