Abstract
This paper is concerned with the problem of enhanced results on robust finite-time passivity for uncertain discrete-time Markovian jumping BAM delayed neural networks with leakage delay. By implementing a proper Lyapunov-Krasovskii functional candidate, the reciprocally convex combination method together with linear matrix inequality technique, several sufficient conditions are derived for varying the passivity of discrete-time BAM neural networks. An important feature presented in our paper is that we utilize the reciprocally convex combination lemma in the main section and the relevance of that lemma arises from the derivation of stability by using Jensen’s inequality. Further, the zero inequalities help to propose the sufficient conditions for finite-time boundedness and passivity for uncertainties. Finally, the enhancement of the feasible region of the proposed criteria is shown via numerical examples with simulation to illustrate the applicability and usefulness of the proposed method.
Highlights
Over the past decades, delayed neural networks have found successful applications in many areas such as signal processing, pattern recognition, associative memories and optimization solvers
Time delay in the leakage term has a great impact on the dynamics of neural networks
Motivated by the aforementioned discussions, in this paper we focus on the finite-time boundedness and passivity of uncertain discrete-time Markovian jumping bidirectional associative memory (BAM) neural networks with leakage time-delays
Summary
Over the past decades, delayed neural networks have found successful applications in many areas such as signal processing, pattern recognition, associative memories and optimization solvers. The finite-time passivity result for discrete-time Markovian jumping uncertain BAM neural networks with leakage delay is proposed for the first time. Under Assumptions I and II, for given scalars μ > , ρ > , τm, τM, σm, σM, DNN model ( ), ( ) is robustly finite-time bounded with respect to (η , η , η, χ , L, Q, L , Q , u, v) if there exist symmetric positive definite matrices P i, P i, W , W , R , R, S , S , S , S ,. The term is variously known as leakage (or forgetting) term which is considered as a time delay
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