![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
In this paper, the problem of stabilisation analysis for switched neutral systems based on sampled-data control and average dwell time approach is investigated. Delay-dependent stabilisation results are derived in terms of linear matrix inequalities by constructing piecewise Lyapunov–Krasovskii functional based on the Wirtinger's inequality. Also, the controller gain matrix is designed by applying an input-delay approach. Further convex combination technique and some integral inequalities are used to derive less conservative results. The effectiveness of the derived results is validated through numerical examples.
Acknowledgements
The authors are very much thankful to the editor-in-chief and anonymous reviewers for their careful reading, constructive comments and fruitful suggestions to improve the quality of this paper.
Additional information
Funding
Notes on contributors
R. Krishnasamy
R. Krishnasamy graduated in mathematics from Sri Vasavi College, Erode, India, affiliated to Bharathiar University, Coimbatore, India, during the year 2003–2006 and postgraduated in mathematics from Bharathiar University during the year 2006–2008. He obtained his MPhil degree in mathematics from Gandhigram Rural University, Gandhigram, India, during the year 2008–2009. Currently, he is working towards his PhD degree in the Department of Mathematics, Gandhigram Rural University. His research interest is in the area of stability and stabilisation analysis for dynamical systems including neutral systems, switched systems, descriptor systems and stochastic systems.
P. Balasubramaniam
P. Balasubramaniam postgraduated from the Department of Mathematics of Gobi Arts College affiliated to Bharathiar University, Coimbatore, India, in the year 1989. He was awarded Master of Philosophy in the year 1990 and Doctor of Philosophy (PhD) in 1994 in the field of mathematics with specialised area of control theory from the Department of Mathematics, Bharathiar University. Soon after his completion of PhD degree, he served as lecturer in mathematics in engineering colleges for 3 years. Since February 1997, he served as lecturer and subsequently reader in mathematics for 5 years in the Gandhigram Rural University, Gandhigram, India. He is rendering his services as a professor and head, Department of Mathematics, Gandhigram Rural University from November 2006 till date. He has worked as a visiting research professor during the year 2001 and 2005–2006 for promoting research in the field of control theory and neural networks at Pusan National University, Pusan, South Korea. Also, he has worked as visiting professor in the Institute of Mathematical Sciences, University of Malaya, Malaysia for the period of 6 months from September 2011 to March 2012. He is a member of several academic bodies including a life member of Cryptology Research Society of India, Indian Statistical Institute, Kolkata. He has 23 years of experience in teaching and research. He has published more than 160 research papers in various SCI journals holding impact factors with Scopus H-index 19 and web of knowledge H-Index 12. Also, he has edited seven proceedings including a book and three international conference proceedings in Springer publications. He has published research articles in national journals and international conference proceedings. He is serving as a reviewer of many SCI journals and member of the editorial board of Journal of Computer Science and Advances in Fuzzy Sets and Systems. He is an editor-in-chief of the journal Modern Instrumentation, and associate editor of College Sadhana – Journal for Bloomers of Research. He has received the Tamil Nadu Scientist Award for the discipline of mathematical sciences instituted by the Tamil Nadu State Council for Science and Technology in the year 2005. His research interest includes the areas of control theory, stochastic differential equations, soft computing, stability analysis, cryptography, neural networks, image processing and reaction–diffusion equations.