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Control of Systems with Aftereffect
 
V. B. Kolmanovskiĭ Moscow University of Electronics and Mathematics, Moscow, Russia
Front Cover for Control of Systems with Aftereffect
Available Formats:
Hardcover ISBN: 978-0-8218-0374-5
Product Code: MMONO/157
336 pp 
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Electronic ISBN: 978-1-4704-4572-0
Product Code: MMONO/157.E
336 pp 
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $193.50
MAA Member Price: $174.15
AMS Member Price: $154.80
Front Cover for Control of Systems with Aftereffect
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  • Front Cover for Control of Systems with Aftereffect
  • Back Cover for Control of Systems with Aftereffect
Control of Systems with Aftereffect
V. B. Kolmanovskiĭ Moscow University of Electronics and Mathematics, Moscow, Russia
Available Formats:
Hardcover ISBN:  978-0-8218-0374-5
Product Code:  MMONO/157
336 pp 
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Electronic ISBN:  978-1-4704-4572-0
Product Code:  MMONO/157.E
336 pp 
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $193.50
MAA Member Price: $174.15
AMS Member Price: $154.80
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1571997
    MSC: Primary 49; 93; Secondary 34;

    The study of natural and social phemomena indicates that the future development of many processes depends not only on their present state, but also on their history. Such processes can be described mathematically by using the machinery of equations with aftereffect.

    This book is a comprehensive, up-to-date presentation of control theory for hereditary systems of various types. Topics covered include background of the theory of hereditary equations, their applications in modeling real phenomena, optimal control of deterministic and stochastic systems, optimal estimation of systems with delay, and optimal control with uncertainties. The exposition is illustrated by examples, figures, and tables.

    Readership

    Graduate and postgraduate students in applied mathematics, mechanics, engineering, automation, cybernetics, and biomathematics; researchers and applied mathematicians interested in control theory, numerical mathematics, mathematical ecology, mathematical modelling, engineering, and general system theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Elements of the theory of systems with aftereffect
    • Chapter 2. The dynamic programming method
    • Chapter 3. Optimality conditions for deterministic systems with aftereffect
    • Chapter 4. Investigation of self-adjusting systems with reference model
    • Chapter 5. Optimal control of stochastic systems
    • Chapter 6. Optimal control of systems defined by stochastic integro-functional equations
    • Chapter 7. Optimal estimation
    • Chapter 8. The optimal control with incomplete data
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Volume: 1571997
MSC: Primary 49; 93; Secondary 34;

The study of natural and social phemomena indicates that the future development of many processes depends not only on their present state, but also on their history. Such processes can be described mathematically by using the machinery of equations with aftereffect.

This book is a comprehensive, up-to-date presentation of control theory for hereditary systems of various types. Topics covered include background of the theory of hereditary equations, their applications in modeling real phenomena, optimal control of deterministic and stochastic systems, optimal estimation of systems with delay, and optimal control with uncertainties. The exposition is illustrated by examples, figures, and tables.

Readership

Graduate and postgraduate students in applied mathematics, mechanics, engineering, automation, cybernetics, and biomathematics; researchers and applied mathematicians interested in control theory, numerical mathematics, mathematical ecology, mathematical modelling, engineering, and general system theory.

  • Chapters
  • Chapter 1. Elements of the theory of systems with aftereffect
  • Chapter 2. The dynamic programming method
  • Chapter 3. Optimality conditions for deterministic systems with aftereffect
  • Chapter 4. Investigation of self-adjusting systems with reference model
  • Chapter 5. Optimal control of stochastic systems
  • Chapter 6. Optimal control of systems defined by stochastic integro-functional equations
  • Chapter 7. Optimal estimation
  • Chapter 8. The optimal control with incomplete data
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