Translations of Mathematical Monographs 1997; 336 pp; hardcover Volume: 157 ISBN10: 0821803743 ISBN13: 9780821803745 List Price: US$129 Member Price: US$103.20 Order Code: MMONO/157
 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, uptodate 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  Elements of the theory of systems with aftereffect
 The dynamic programming method
 Optimality conditions for deterministic systems with aftereffect
 Investigation of selfadjusting systems with reference model
 Optimal control of stochastic systems
 Optimal control of systems defined by stochastic integrofunctional equations
 Optimal estimation
 Optimal control with incomplete data
 Bibliography
