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  • © 2015

Continuous and Distributed Systems II

Theory and Applications

  • Closes the gap between mathematical approaches and practical applications
  • International team of experienced authors
  • Concise presentation of the subject
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 30)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Applied Methods of Modern Algebra and Analysis

    1. Front Matter

      Pages 1-1
    2. The Absolute Stability of Orthorecursive Expansions in Redundant Systems of Subspaces

      • V. V. Galatenko, T. P. Lukashenko, V. A. Sadovnichiy
      Pages 3-10
    3. Multiplicative and Additive Problems of Partitions of Natural Numbers

      • Vladimir Nikolaevich Chubarikov, Gleb Vladimirovich Fedorov
      Pages 29-36
    4. Critical Analysis of Amino Acids and Polypeptides Geometry

      • Alexander O. Ivanov, Alexander S. Mishchenko, Alexey A. Tuzhilin
      Pages 37-81
    5. On the Riemann’s Problem for One Nonstrictly Hyperbolic System

      • V. V. Palin, E. V. Radkevich
      Pages 83-99
  3. Non-autonomous and Stochastic Dynamical Systems

    1. Front Matter

      Pages 101-101
    2. Dynamics of Nonautonomous Chemostat Models

      • Tomás Caraballo, Xiaoying Han, Peter E. Kloeden, Alain Rapaport
      Pages 103-120
    3. Attractors for Multivalued Processes with Weak Continuity Properties

      • Piotr Kalita, Grzegorz Łukaszewicz
      Pages 149-166
    4. Lévy–Areas of Ornstein–Uhlenbeck Processes in Hilbert–Spaces

      • María J. Garrido-Atienza, Kening Lu, Björn Schmalfuß
      Pages 167-188
    5. Some Properties for Exact Generalized Processes

      • Jacson Simsen, Érika Capelato
      Pages 209-219
    6. Uniform Trajectory Attractors for Nonautonomous Dissipative Dynamical Systems

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov
      Pages 221-232
    7. Lyapunov Functions for Differential Inclusions and Applications in Physics, Biology, and Climatology

      • Mark O. Gluzman, Nataliia V. Gorban, Pavlo O. Kasyanov
      Pages 233-243
  4. Optimization, Control and Decision Sciences for Continuum Mechanics Problems

    1. Front Matter

      Pages 245-245
    2. Robust Stability, Minimax Stabilization and Maximin Testing in Problems of Semi-Automatic Control

      • Victor A. Sadovnichiy, Vladimir V. Alexandrov, Stephan S. Lemak, Dmitry I. Bugrov, Katerina V. Tikhonova, Raul Temoltzi Avila
      Pages 247-265
    3. Dynamics of Solutions for Controlled Piezoelectric Fields with Multivalued “Reaction-Displacement” Law

      • Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Liliia S. Paliichuk, Alla M. Tkachuk
      Pages 267-276

About this book

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, 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.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.

Editors and Affiliations

  • Lomonosov Moscow State University, Moscow, Russia

    Viktor A. Sadovnichiy

  • Kiev Polytechnic Institute, National Technical University Ukraine, Kiev, Ukraine

    Mikhail Z. Zgurovsky

About the editors

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access