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SYNCHRONIZATION OF MASTER-SLAVE MARKOVIAN SWITCHING COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS IN NONLINEAR FUNCTION VIA SLIDING MODE CONTROL

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Acta Mathematica Scientia 2017年第2期37卷 368-384页

作者： M.Syed ALI j.yogambigai 曹进德 Department of Mathematics Thiruvalluvar UniversityVellore 632115Tamil NaduIndia Department of Mathematics Southeast UniversityNanjing 210096China Department of Mathematics Faculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia

In this article, a synchronization problem for master-slave Markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control is investigated. On the basis of the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices, new synchronization criteria are derived in terms of linear matrix inequalities （LMIs）. Then, an integral sliding surface is designed to guarantee synchronization of master-slave Markovian switching complex dynamical networks, and the suitable controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. By using Dynkin＇s formula, we established the stochastic stablity of master-slave system. Finally, numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.

关键词： Markovian switching complex dynamical networks Lyapunov-Krasovskii method sliding mode control Linear Matrix Inequality

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SYNCHRONIZATION OF SINGULAR MARKOVIAN jUMPING NEUTRAL COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS VIA PINNING CONTROL

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Acta Mathematica Scientia 2020年第3期40卷 863-886页

作者： K.S.ANAND j.yogambigai G.A.HARISH BABU M.SYED ALI S.PADMANABHAN APS College of Engineering Bangalore 560082India MMES College of Arts and Science MelvisharamTamilnaduIndia Reva Institute of Technology and Management Bengaluru-560064 Department of Mathematics Thiruvalluvar UniversityVelloreTamilnadu 632115India RNS Institute of Technology ChannasandraBangalore 560098India

This article discusses the synchronization problem of singular neutral complex dynamical networks(SNCDN)with distributed delay and Markovian jump parameters via pinning *** control strategies are designed to make the singular neutral complex networks *** delay-dependent synchronization criteria are derived in the form of linear matrix inequalities based on a modified Lyapunov-Krasovskii functional *** applying the Lyapunov stability theory,jensen's inequality,Schur complement,and linear matrix inequality technique,some new delay-dependent conditions are derived to guarantee the stability of the ***,numerical examples are presented to illustrate the effectiveness of the obtained results.

关键词： Singular complex networks synchronization Lyapunov-krasovski method markovian jump pinning control linear matrix inequality

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