Qualitative Analysis and Control of Complex Neural Networks with Delays

This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.

Sommario

 Introduction to Neural Networks.- Preliminaries on Dynamical Systems and Stability Theory.- Survey of Dynamics of Cohen-Grossberg Type RNNs.- Delay-partitioning-method Based Stability Result for RNNs.- Stability result on the static and vector field recurrent neural networks.- Stability Criteria for RNNs Based on Secondary Delay Partitioning.- LMI-based Stability Criteria for Static Neural Networks.- Multiple Stability for Discontinuous RNNs.- LMI-based Passibity Criteria for RNNs with Delays.- Dissipativity and Invariant Sets for Neural Networks with Delay.- Synchronization Stability in Complex Neural Networks.- Stabilization of Stochastic RNNs with Stochastic Delays.- Adaptive Synchronization of Complex Neural Networks

Relazione

"Each chapter is independent and self-contained and the book can be read randomly according to one's requirements. ... This book should benefit researchers and senior graduate/post-graduate students interested in the study of dynamical systems, by providing different kinds of mathematical tools and techniques. ... this book will definitely benefit readers, providing new insight into the area of neural networks in particular and dynamical systems in general, thereby enriching the literature." (Ponnado Raja Sekhara Rao, Mathematical Reviews, April, 2017)

Dettagli sul prodotto

• Autori: Zhenwei Liu, Zhanshan Wang, Chengde Zheng
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 30.07.2015
• EAN: 9783662474839
• ISBN: 978-3-662-47483-9
• Pagine: 388
• Dimensioni: 164 mm x 241 mm x 21 mm
• Peso: 786 g
• Illustrazioni: XIV, 388 p. 32 illus., 7 illus. in color.
• Serie: Studies in Systems, Decision and Control
• Categorie: Scienze naturali, medicina, informatica, tecnica > Tecnica > Meccanica, tecnica di produzione; B, Vibration, engineering, Electrical Engineering, Dynamics, complexity, Control and Systems Theory, Dynamical systems, Power electronics, Electrical Power Engineering, Power Electronics, Electrical Machines and Networks, Control engineering, Automatic control engineering, Cybernetics & systems theory, Vibration, Dynamical Systems, Control, Applied Dynamical Systems, Computational complexity, Multibody Systems and Mechanical Vibrations