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ABSTRACT
This paper is concerned with the global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays. Based on Lyapunov functionals and linear matrix inequality approach, new sufficient conditions are derived to ensure the global dissipativity and global exponential dissipativity of the suggested system. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. Finally, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results.
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No potential conflict of interest was reported by the author(s).
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Notes on contributors
Chaouki Aouiti
Chaouki Aouiti graduated from the Faculty of Sciences of Tunis, University Tunis El Manar (1995). He obtained the M.S.degree in Applied Mathematics from the National Engineering School of Tunis, University Tunis El Manar in 1997. He obtained a PhD and then an HDR both in Applied Mathematics in 2003 and 2017 respectively. He is currently an Associate Professor in Applied Mathematics at Faculty of Sciences of Bizerta, University of Carthage. His research interests include Neural networks, Dynamical systems, Differential equations, Almost periodic differential equation, Almost automorphic differential equation. Dr. Chaouki, currently, serves as a reviewer of several international journals and a Program Committee for various international conferences.
Rathinasamy Sakthivel
Rathinasamy Sakthivel received the B.Sc., M.Sc., M.Phil., and Ph.D. degrees in Mathematics from Bharathiar University, Coimbatore, India, in 1992, 1994, 1996, and 1999, respectively. He was a Lecturer with the Department of Mathematics, Sri Krishna College of Engineering and Technology, Coimbatore, from 2000 to 2001. From 2001 to 2003, he was a PostDoctoral Fellow with the Department of Mathematics, Inha University, Incheon, South Korea. He was a Visiting Fellow with the Max Planck Institute, Magdeburg, Germany, in 2002. From 2003 to 2005, he was a Japan Society for the Promotion of Science Fellow with the Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Kitakyushu, Japan. He was a Research Professor with the Department of Mathematics, Yonsei University, Seoul, South Korea, until 2006. He was a Post-Doctoral Fellow (Brain Pool Program) with the Department of Mechanical Engineering, Pohang University of Science and Technology, Pohang, South Korea, from 2006 to 2008. He was an Assistant Professor and an Associate Professor with the Department of Mathematics, Sungkyunkwan University, Suwon, South Korea, from 2008 to 2013. From 2013 to 2016, he was a Professor at the Department of Mathematics, Sri Ramakrishna Institute of Technology, India. He is currently a Professor with the Department of Mathematics, Bharathiar University, Coimbatore, India. He has published over 250 research papers in reputed science citation index journals. His current research interests include systems and control theory, optimization techniques, and nonlinear dynamics.
Farid Touati
Farid Touati was born in Bizerta, Tunisia. He is a PhD student in Mathematics at the university of Carthage, Tunisia. He received her Master's degree in Mathematics from the faculty of Sciences of Bizerta. His current research field is neutral networks. He is interested in stability, dissipativity and passivity of solutions.