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Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays

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Chinese Physics B 2014年第2期23卷 49-63页

作者： r.rakkiyappan N.Sakthivel S.Lakshmanan Department of Mathematics Bharathiar University Department of Mathematical Sciences College of ScienceUAE University

In this paper, the problem of exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and Mode-dependent probabilistic time-varying coupling delays is investigated. The sam- pling period is assumed to be time-varying and bounded. The information of probability distribution of the time-varying delay is considered and transformed into parameter matrices of the transferred complex dynamical network model. Based on the condition, the design method of the desired sampled data controller is proposed. By constructing a new Lyapunov functional with triple integral terms, delay-distribution-dependent exponential synchronization criteria are derived in the form of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

关键词： complex networks exponential synchronization mode-dependent time-varying delays linear ma- trix inequalities sampled-data control

Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with mixed time delays

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Chinese Physics B 2012年第4期21卷 586-596页

作者： P.Balasubramaniam M.Kalpana r.rakkiyappan Department of Mathematics Gandhigram Rural Institute-Deemed UniversityGandhigram-624302TamilnaduIndia Department of Mathematics Bharathiar UniversityCoimbatore-641046TamilnaduIndia

Fuzzy cellular neural networks （FCNNs） are special kinds of cellular neural networks （CNNs）. Each cell in an FCNN contains fuzzy operating abilities. The entire network is governed by cellular computing laws. The design of FCNNs is based on fuzzy local rules. In this paper, a linear matrix inequality （LMI） approach for synchronization control of FCNNs with mixed delays is investigated. Mixed delays include discrete time-varying delays and unbounded distributed delays. A dynamic control scheme is proposed to achieve the synchronization between a drive network and a response network. By constructing the Lyapunov-Krasovskii functional which contains a triple-integral term and the free-weighting matrices method an improved delay-dependent stability criterion is derived in terms of LMIs. The controller can be easily obtained by solving the derived LMIs. A numerical example and its simulations are presented to illustrate the effectiveness of the proposed method.

关键词： asymptotic stability chaos fuzzy cellular neural networks linear matrix inequalities synchronization

Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control

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Chinese Physics B 2014年第7期23卷 218-229页

作者： S.Lakshmanan Ju H.Park Fathalla A.rihan r.rakkiyappan Department of Mathematical Sciences College of ScienceUAE University Nonlinear Dynamics Group Department of Electrical EngineeringYeungnam University Department of Mathematics Bharathiar University

We consider the impulsive effect on the exponential synchronization of neural networks with leakage delay under the sampled-data feedback control. We use an appropriate Lyapunov-Krasovskii functional combined with the input delay approach and some inequality techniques to derive sufficient conditions that ensure the exponential synchronization of the delayed neural network. The conditions are formulated in terms of the leakage delay, the sampling period, and the exponential convergence rate. Numerical examples are given to demonstrate the usefulness and the effectiveness of the results.

关键词： exponential synchronization impulsive effect leakage delay sampled-data feedback

Mittag-Leffler stability analysis of multiple equilibrium points in impulsive fractional-order quaternion-valued neural networks

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Frontiers of Information Technology & Electronic Engineering 2020年第2期21卷 234-246页

作者： K.UDHAYAKUMAr r.rakkiyappan Jin-de CAO Xue-gang TAN Department of Mathematics Hhamthiar Universityf Coimbatore 641046India School of Mathematics Southeast UniversityNanjing 210096China School of Automation Southeast UniversityNanjing 210096China

In this study,we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued neural networks(QVNNs)with *** the geometrical properties of activation functions and the Lipschitz condition,the existence of the equilibrium points is *** addition,the global Mittag-Leffler stability of multiple equilibrium points for the impulsive fractional-order QVNNs is investigated by employing the Lyapunov direct ***,simulation is performed to illustrate the effectiveness and validity of the main results obtained.

关键词： Mittag-Leffler stability Fractional-order Quaternion-valued neural networks Impulse

Exponential H_∞ filtering analysis for discrete-time switched neural networks with random delays using sojourn probabilities

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Science China(Technological Sciences) 2016年第3期59卷 387-402页

作者： CAO JinDe rakkiyappan r. MAHESWArI K. CHANDrASEKAr A. Department of Mathematics Southeast University Department of Mathematics Bharathiar University

This paper is concerned with the exponential H_∞ filtering problem for a class of discrete-time switched neural networks with random time-varying delays based on the sojourn-probability-dependent method. Using the average dwell time approach together with the piecewise Lyapunov function technique, sufficient conditions are proposed to guarantee the exponential stability for the switched neural networks with random time-varying delays which are characterized by introducing a Bernoulli stochastic *** on the derived H_∞ performance analysis results, the H_∞ filter design is formulated in terms of Linear Matrix Inequalities(LMIs). Finally, two numerical examples are presented to demonstrate the effectiveness of the proposed design procedure.

关键词： switched neural networks average dwell time sojourn probability method exponential stability

A fractlonal-order delay differential model for Ebola infection and CD8＋ T-cells response： Stability analysis and Hopf bifurcation

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International Journal of Biomathematics 2017年第8期10卷 103-124页

作者： V. Preethi Latha r. rakkiyappan G. Velmurugan Department of Mathematics Bharathiar University Coimbatore 641 046 Tamil Nadu India Department of Mathematical Sciences College of Science UAE University AI-Ain 15551 UAE

In this paper, we study a fractional-order model with time-delay to describe the dynamics of Ebola virus infection with cytotoxic T-lymphocyte （CTL） response in vivo. The time- delay is introduced in the CTL response term to represent time required to stimulate the immune system. Based on fractional Laplace transform, some conditions on stability and Hopf bifurcation are derived for the model. The analysis shows that the fractional- order with time-delay can effectively enrich the dynamics and strengthen the stability condition of fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

关键词： Ebola virus CTL response Hopf bifurcation stability time-delay.

Physiological Studies on ratoonability of Sugarcane Varieties under Tropical Indian Condition

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American Journal of Plant Sciences 2013年第2期4卷 274-281页

作者： raju Gomathi Polur Nagaraja Gururaja rao Palaniappan rakkiyappan Babu Poojary Sundara Srinivasan Shiyamala Agronomy Division of Crop Production Sugarcane Breeding Institute (ICAR) Coimbatore India Plant Physiology Division of Crop Production Sugarcane Breeding Institute (ICAR) Coimbatore India Soil Science Division of Crop Production Sugarcane Breeding Institute (ICAR) Coimbatore India

The ratoon crop occupies approximately 40% of the total area of sugarcane crop in tropical India. The main reason for the lower average cane productivity is the yield decline in ratoon crops (40 - 50 t/ha) despite the release of the high yielding varieties and advanced cane production technology. The physiological factors associated with ratooning performance and the variation in growth and yield were studied in 11 sugarcane varieties in two cycles of one plant and two ratoon crops each. The first ratoon and second ratoon crop showed 17.0% and 28.1% reduction in tiller production and 15.5% and 15.7% reduction in NMC, respectively, over plant crop. The differences in growth parameters between the plant and ratoon crops at the formative phase were lesser than that of grand growth and maturity phases. Varieties Co 86032, Co 97008, Co 95020 Co 99004 and Co 2000-10 showed better physiological efficiency in terms of plant height, shoot population, leaf size, TDMP, partitioning efficiency, chlorophyll content and nitrate reductase activity and significantly higher yield components such as NMC, SCW, cane length, internodal length as well as cane yield compared to other varieties. The higher reduction in ratoon yield in Co 99008, Co 94012, Co 8021 and Co 97009 (>35.00% reduction) was due to higher reduction in tiller production associated with stunted plant growth and root system, reducetion in individual leaf size and LAI, TDMP, total chlorophyll content, NMC, internodal length and SCW. The results obtained indicated that the plant height, TDMP, stem partitioning, leaf size, total chlorophyll content, SCW, cane length and cane girth were highly associated with yield of first and second ratoon crops than that of plant crop. Therefore the difference in the association between physiological parameters with yield of plant and ratoon crops therefore decides the ratooning potential of the crop.

关键词： Sugarcane ratoon Physiological Efficiency LAI TDMP SCW Yield