Stability Analysis of Delayed System with Markovian Jumping
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Abstract
In this thesis stability problem is investigated using delayed Markovian jumping neural
newlinenetworks, a class for neural networks, Complex networks are built with Markovian jump
newlineparameters and time-varying delays. For the concerns outlined above, creating suitable
newlineLyapunov-Krasovskii functional yields acceptable delay-dependent stability conditions.
newlineThe control technique isused to determine stabilisation conditions for neural networks by
newlinecreating appropriate controller gain matrices. Less conservative stability criterions are
newlineobtained to the above mentioned problems, by using various techniques such as freeweighting
newlinematrix, augmented LKF approach, Jensen s Inequality and Newton-Leibnitz
newlineformula. To demonstrate the efficacy of the proposed methodologies, numerical
newlinecomputations are provided. The outcomes are compared to past outcomes to show that
newlinethey are less cautious
newline