Stability Analysis of Neural Networks

Grienggrai Rajchakit, Praveen Agarwal, Sriraman Ramalingam (Autoren)

Buch | Hardcover

404 Seiten

2021 | 1st ed. 2021
Springer Verlag, Singapore
978-981-16-6533-2 (ISBN)

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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 theDepartment 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.

1. Introduction.- 2. LMI-Based Stability Criteria for BAM Neural Networks.- 3. Exponential Stability Criteria for Uncertain Inertial BAM Neural Networks.- 4. Exponential Stability of Impulsive Cohen-Grossberg BAM Neural Networks.- 5. Exponential Stability of Recurrent Neural Networks with Impulsive and Stochastic Effects.- 6. Stability of Markovian Jumping Stochastic Impulsive Uncertain BAM Neural Networks.- 7. Global Robust Exponential Stability of Stochastic Neutral-Type Neural Networks.- 8. Exponential Stability of Discrete-Time Cellular Uncertain BAM Neural Networks.- 9. Exponential Stability of Discrete-Time Stochastic Impulsive BAM Neural Networks.- 10. Stability of Discrete-Time Stochastic Quaternion-Valued Neural Networks.- 11. Robust Finite-Time Passivity of Markovian Jump Discrete-Time BAM Neural Networks.- 12 Robust Stability of Discrete-Time Stochastic Genetic Regulatory Networks.

Erscheinungsdatum	13.12.2021
Zusatzinfo	54 Illustrations, color; 2 Illustrations, black and white; XXVI, 404 p. 56 illus., 54 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Maschinenbau
Schlagworte	asymptotic stability • Bidirectional Associative Memory • Cellular Neural Network • Cohen-Grossberg neural network • Exponential stability • gene regulatory network • Hopfield Neural Network • Lyapunov-Krasovskii Functional • Markovian jumping • Neural networks • Robust Stability • stability
ISBN-10	981-16-6533-8 / 9811665338
ISBN-13	978-981-16-6533-2 / 9789811665332
Zustand	Neuware