|Finite Time H∞ Boundedness of Discrete-time Markovian Jump Neural Networks with Time-varying Delays
M. Syed Ali*, K. Meenakshi, and N. Gunasekaran
International Journal of Control, Automation, and Systems, vol. 16, no. 1, pp.181-188, 2018
Abstract : "This paper is concerned with the problem of finite-time H∞ boundedness of discrete-time Markovian
jumping neural netwoks with time-varying delays. A new sufficient condition is presented which guarantees the
stability of the closed-loop system and the same time maximizes the boundedness on the non-linearity. An extension
of fixed transition probability Markovian model is combined to time-varying transition probabilities has offered. By
constructing a novel Lyapunov - Krasovskii functional, the system under consideration is subject to interval timevarying
delay and norm-bounded disturbances. Linear matrix inequality approach is used to solve the finite-time
stability problem. Numerical example is given to illustrate the effectiveness of the proposed result."
Discrete time delay, finite-time H∞ control, Markovian jump, Linear matrix inequality.