Advances in dynamical systems and control
 Responsibility
 Victor A. Sadovnichiy, Mikhail Z. Zgurovsky, editors.
 Publication
 Switzerland : Springer, 2016.
 Physical description
 1 online resource (xxii, 471 pages) : illustrations (some color)
 Series
 Studies in systems, decision and control ; v. 69.
Online
More options
Description
Creators/Contributors
 Contributor
 Sadovnichiĭ, V. A. (Viktor Antonovich), editor.
 Zhurovsʹkyĭ, M. Z. (Mykhaĭlo Zakharovych) editor.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Part I. Applied Methods of Modern Algebra and Analysis
 Convergence Almost Everywhere of Orthorecursive Expansions in Functional Systems
 Billiard Systems as the Models for the Rigid Body Dynamics
 Uniform Global Attractors for Nonautonomous Evolution Inclusions
 The Past, Present and Future of Optimal Connections Theory
 Generalised Pisot Numbers and Matrix Decomposition
 On the Periodicity of Continued Fractions in Hyperelliptic Fields
 Part II. Discrete and Continuous Dynamical Systems
 Characterization of Pullback Attractors for Generalized Processes
 Graduation of Life Tables: a Review and a Proposal Using Dynamical Systems
 A Nonautonomous Model for Immune Response to Virus in Fluctuating Environments
 Some Aspects Concerning the Dynamics of Stochastic Chemostats
 Higherorder CahnHilliard Models with a Logarithmic Nonlinear Term
 Dynamical Systems Generated by ThueMorse, Fibonacci and Shapiro Chains
 On Uniform Global Attractor for NonAutonomous ReactionDiffusion System with Caratheodory?s Nonlinearity
 Part III. Fundamental and Computational Mechanics
 Two Thermodynamic Laws as the Forth and the Fifth Integral Postulates of Continuum Mechanics
 Flow Control Near a Square Prism with the Help of Frontal Flat Plates
 Longtime Behavior of State Functions for Badyko Models
 Part IV. Optimization, Control and Decision Making
 On Approximate Regulator in LinearQuadratic Problem with Distributed Control
 Approximate Optimal Control for ParabolicHyperbolic Equations with Nonlocal Boundary Conditions and General Quadratic Quality Criterion
 The Optimal Control Problem with Minimum Energy for One Nonlocal Distributed System
 On Optimal L1Control in Coefficients for a Degenerate Elliptic Equation: Optimality Conditions
 Estimation of Consistency of Fuzzy Pairwise Comparison Matrices using a Defuzzification Method.
 Summary
 Focused on recent advances, this book covers theoretical foundations as well as various applications. It presents modern mathematical modeling approaches to the qualitative and numerical analysis of solutions for complex engineering problems in physics, mechanics, biochemistry, geophysics, biology and climatology. Contributions by an international team of respected authors bridge the gap between abstract mathematical approaches, such as applied methods of modern analysis, algebra, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems on the one hand, and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. As such, the book will be of interest to mathematicians and engineers working at the interface of these fields.
Subjects
 Subjects
 Dynamics > Mathematical models.
 Control theory > Mathematical models.
 Dynamique > Modèles mathématiques.
 Théorie de la commande > Modèles mathématiques.
 Nonlinear science.
 Statistical physics.
 Maths for engineers.
 Mathematical modelling.
 Dynamics & vibration.
 SCIENCE > Mechanics > General.
 SCIENCE > Mechanics > Solids.
Bibliographic information
 Publication date
 2016
 Series
 Studies in systems, decision and control, 21984182 ; volume 69
 ISBN
 9783319406732 (electronic bk.)
 3319406736 (electronic bk.)
 9783319406725 (print)
 3319406728
 DOI
 10.1007/9783319406732