Passivity analysis of Markovian jumping neural networks with leakage time-varying delays
type: Item
instance of: scholarly article
title: Passivity analysis of Markovian jumping neural networks with leakage time-varying delays
zbMATH Open document ID: 1300.92012
DOI: 10.1155/2013/172906
author: N. Mala
author: A. R. Sudamani Ramaswamy
published in: Journal of Computational Methods in Physics
publication date: 2014-11-12T00:00:00Z
review text: Summary: This paper is concerned with the passivity analysis of Markovian jumping neural networks with leakage time-varying delays. Based on a Lyapunov functional that accounts for the mixed time delays, a leakage delay-dependent passivity conditions are derived in terms of linear matrix inequalities (LMIs). The mixed delays includes leakage time-varying delays, discrete time-varying delays, and distributed time-varying delays. By employing a novel Lyapunov-Krasovskii functional having triple-integral terms, new passivity leakage delay-dependent criteria are established to guarantee the passivity performance. This performance not only depends on the upper bound of the time-varying leakage delay \(\sigma(t)\) but also depends on the upper bound of the derivative of the time-varying leakage delay \(\sigma_{\mu}\). While estimating the upper bound of derivative of the Lyapunov-Krasovskii functional, the discrete and distributed delays should be treated so as to appropriately develop less conservative results. Two numerical examples are given to show the validity and potential of the developed criteria.
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 6368887
Wikidata QID: Q58919346
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/172906
OpenAlex ID: W2104038950
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description: scientific article; zbMATH DE number 6368887