AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Control of Systems with Aftereffect
V. B. Kolmanovskiĭ, Moscow University of Electronics and Mathematics, Russia, and L. E. Shaĭkhet, Donetsk State Academy of Management, Russia

Translations of Mathematical Monographs
1997; 336 pp; hardcover
Volume: 157
ISBN-10: 0-8218-0374-3
ISBN-13: 978-0-8218-0374-5
List Price: US$129
Member Price: US$103.20
Order Code: MMONO/157
[Add Item]

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.


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

  • Elements of the theory of systems with aftereffect
  • The dynamic programming method
  • Optimality conditions for deterministic systems with aftereffect
  • Investigation of self-adjusting systems with reference model
  • Optimal control of stochastic systems
  • Optimal control of systems defined by stochastic integro-functional equations
  • Optimal estimation
  • Optimal control with incomplete data
  • Bibliography
Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia