Author/Authors :
Anbuvithya, R. Department of Mathematics - Sri Sarada College for Women (Autonomous), Salem, India , Dheepika Sri, S. Department of Mathematics - Sri Sarada College for Women (Autonomous), Salem, India , Vadivel, R. Department of Mathematics - Faculty of Science and Technology -Phuket Rajabhat University, Phuket, Thailand , Hammachukiattikul, P. Department of Mathematics - Faculty of Science and Technology -Phuket Rajabhat University, Phuket, Thailand , Park, Choonkil Research Institute of Natural Science - Hanyang University, Seoul, Korea , Nallappan, Gunasekaran Intelligence Laboratory - Toyota Technological Institute, Nagoya, Japan
Abstract :
The problem of synchronization with extended dissipativity for Markovian Jump Recurrent Neural Networks (MJRNNs) is investigated. For MJRNNs, a new memory sampled-data extended dissipative control approach is suggested here. Some sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are acquired by suitably establishing a relevant Lyapunov - Krasovskii functional (LKF), wherein the master and the slave system of MJRNNs are quadratically stable. At last, a numerical section is provided, along with one of the applications in circuit theory that clearly illustrates the efficacy of the proposed method's performance.
Keywords :
Extended Dissipativity , Markovian Jump Recurrent Neural Networks , Memory Sampled data control , Synchronization