Advances in Dynamical Systems and Control

Viktor A. Sadovnichiy, Lomonosov Moscow State University, Russia; Michael Z. Zgurovsky, National Technical University of Ukraine "Kiev Polytechnic Institute", Ukraine.

• 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.- Higher-order Cahn-Hilliard Models with a Logarithmic Nonlinear Term.- Dynamical Systems Generated by Thue-Morse, Fibonacci and Shapiro Chains.- On Uniform Global Attractor for Non-Autonomous Reaction-DiffusionSystem 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.- Long-time Behavior of State Functions for Badyko Models.- Part IV Optimization, Control and Decision Making.- On Approximate Regulator in Linear-Quadratic Problem with Distributed Control.- Approximate Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Boundary Conditions and General Quadratic Quality Criterion.- The Optimal Control Problem with Minimum Energy for One Nonlocal Distributed System.- On Optimal L1-Control in Coefficients for a Degenerate Elliptic Equation: Optimality Conditions.- Estimation of Consistency of Fuzzy Pairwise Comparison Matrices using a Defuzzification Method.