Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition‪)‬

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.

The new Chapters 15–17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.
Contents:Stability of Autonomous Dynamical SystemsNon-Autonomous Dissipative Dynamical SystemsAnalytic Dissipative SystemsThe Structure of the Levinson Center of System with the Condition of the HyperbolicityMethod of Lyapunov FunctionsDissipativity of Some Classes of EquationsUpper Semi-Continuity of AttractorsThe Relationship Between Pullback, Forward and Global AttractorsPullback Attractors of ℂ-Analytic SystemsPullback Attractors Under DiscretizationGlobal Attractors of Non-Autonomous Navier–Stokes EquationsGlobal Attractors of V-Monotone Dynamical SystemsLinear Almost Periodic Dynamical SystemsTriangular MapsCompact Global Attractors of Control SystemsAsymptotic Stability of Switched SystemsAbsolute Asymptotic Stability of Differential (Difference) Equations and Inclusions
Readership: This book is intended for mathematicians (scientists and university professors) who are working in the field of differential/difference equations, dynamical systems and control theory. It would also be useful for the graduate and post-graduate students who are interested in the theory of dynamical and control systems and their applications.
Key Features:This book is a unique book dedicated to the study of asymptotical behavior of nonautonomous dynamical systems and applicationsThe new edition includes the important results obtained in the last ten years about Control Systems (global attractors, asymptotic stability of switched systems, absolute asymptotic stability)The new results (Chapters 15–17) added in the second edition belong to author