9781466570863: Weakly Connected Nonlinear Systems
Couverture rigide
ISBN 10 : 1466570865 ISBN 13 : 9781466570863
Editeur : Chapman and Hall/CRC, 2012

Synopsis

Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form. It contains many essential results needed for carrying out research on nonlinear systems of weakly connected equations.





After supplying the necessary mathematical foundation, the book illustrates recent approaches to studying the boundedness of motion of weakly connected nonlinear systems. The authors consider conditions for asymptotic and uniform stability using the auxiliary vector Lyapunov functions and explore the polystability of the motion of a nonlinear system with a small parameter. Using the generalization of the direct Lyapunov method with the asymptotic method of nonlinear mechanics, they then study the stability of solutions for nonlinear systems with small perturbing forces. They also present fundamental results on the boundedness and stability of systems in Banach spaces with weakly connected subsystems through the generalization of the direct Lyapunov method, using both vector and matrix-valued auxiliary functions.





Designed for researchers and graduate students working on systems with a small parameter, this book will help readers get up to date on the knowledge required to start research in this area.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Martynyuk, Anatoly; Chernetskaya, Larisa; Martynyuk, Vladislav

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman and Hall/CRC
Date d'édition
2012
Langue
anglais
ISBN 10 
1466570865
ISBN 13 
9781466570863
Reliure
Relié
Nombre de pages
212
Coordonnées du fabricant
CRC Press
https://www.routledge-ny.com

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Autres éditions populaires du même titre

9780367380632: Weakly Connected Nonlinear Systems

Edition présentée

ISBN 10 :  0367380633 ISBN 13 :  9780367380632
Editeur : Routledge, 2019
Couverture souple