The problem of stochastic stability is investigated for a class of neural networks with both Markovian jump parameters and continuously distributed delays. The jumping parameters are modeled as a continuous-time, finite-state Markov chain. By constructing appropriate LyapunovKrasovskii functionals, some novel stability conditions are obtained in terms of linear matrix inequalities LMIs . The pr...

This paper deals with the filtering problem for a general class of nonlinear time-delay systems with Markovian jumping parameters. The nonlinear time-delay stochastic systems may switch from one to the others according to the behavior of a Markov chain. The purpose of the problem addressed is to design a nonlinear full-order filter such that the dynamics of the estimation error is guaranteed to...

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 vary...

We prove a generalization of the quantum Markovian equation for observables. In this generalized equation, we use superoperators that are fractional powers of completely dissipative superoperators. We prove that the suggested superoperators are infinitesimal generators of completely positive semigroups and describe the properties of this semigroup. We solve the proposed fractional quantum Marko...

In the present study, interactions between lead exposure with nitric oxide precursor (L-arginine) or nitric oxide synthase (NOS) inhibitor (L-NAME) on naloxone-induced jumping and diarrhea in morphine-dependent mice were examined. Chronic lead acetate (0.05%) exposure altered naloxone-induced jumping and diarrhea in mice. Jumping was decreased after 7 days and was unchanged 14 and 28 days after...

Neuroscientists formulate very different hypotheses about the nature of neural code. At one extreme, it has been argued that neurons encode information in relatively slow changes of individual spikes arriving rates (rates codes) and the irregularity in the spike trains reflects noise in the system, while in the other extreme this irregularity is the code itself (temporal codes) thus the precise...