Weakly Connected Nonlinear Systems Boundedness and Stability of Motion
Auteurs : Martynyuk Anatoly, Chernetskaya Larisa, Martynyuk Vladislav
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.
Preliminaries. Analysis of the Boundedness of Motion. Analysis of the Stability of Motion. Stability of Weakly Perturbed Systems. Stability of Systems in Banach Spaces. Bibliography. Index.
Date de parution : 11-2012
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 214,69 €
Ajouter au panierDate de parution : 09-2019
15.6x23.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 74,82 €
Ajouter au panierThèmes de Weakly Connected Nonlinear Systems :
Mots-clés :
Lyapunov Function; Auxiliary Functions; Vector Lyapunov Function; Perturbed Motion; Ordinary Differential Equations; Function V; Positive Definite Function; Comparison Function; Banach Space; Isolated Subsystems; Function Vi; Trivial Solution; Measures Ρ0; Maximum Solution; Inequality Holds; Full Derivative; Integral Inequalities; Dini Derivative; Asymptotically Stable; Initial Point; Positive Semidefinite; Connection Functions; Scalar Lyapunov Function; Ω21 Cos Ν1t; Dxs Dt