Stability Analysis of Neural Networks (eBook)

This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists. 

GRIENGGRAI RAJCHAKIT is Associate Professor at the Department of Mathematics, Faculty of Science, Maejo University, Chiangmai, Thailand. He received his Ph.D. in Applied Mathematics from the King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on the topic of stability and control of neural networks. He received the Thailand Frontier Author Award by Thomson Reuters Web of Science (2016) and the TRF-OHEC-Scopus Researcher Award by The Thailand Research Fund, Office of the Higher Education Commission (OHEC) and Scopus (2016), respectively. His research interests are complex-valued neural networks, complex dynamical networks, control theory, stability analysis, sampled data control, multi-agent systems, and T-S fuzzy theory, and cryptography. He is a reviewer for various reputed journals and has authored and co-authored more than 111 research articles in various reputed journals.

PRAVEEN AGARWAL is a Professor at the Department of Mathematics, Anand International College of Engineering, Jaipur, India. In 2006, he earned his Ph.D. in Mathematics from the Malviya National Institute of Technology, Jaipur, India. He has published over 250 articles related to special functions, fractional calculus, fixed point theory, mathematical modeling, and mathematical physics in several leading mathematics journals. His latest research has focused on partial differential equations, fixed point theory, neural networks, and fractional differential equations. On the editorial boards of several reputed journals, he has been involved in a number of conferences. Recently, he received the Most Outstanding Researcher 2018 Award for his contribution to mathematics by the Union Minister of Human Resource Development of India. He has received numerous international and national research grants. 

SRIRAMAN RAMALINGAM worked as Assistant Professor at the Department of Science and Humanities, Vel Tech High Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai, Tamil Nadu, India, from 2019 to 2020. He earned his Ph.D. from Thiruvalluvar University, Vellore, Tamil Nadu, India, in 2020. He His research interests are in dynamical systems theory include neural networks and time delay systems. He has authored and co-authored more than 20 research articles in various reputed journals and serves as a reviewer for various journals of repute.

 

---

This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists.