The mathematical theory of control, essentially developed during the last decades, is used for solving many problems of practical importance. This theory investigates these models, proposes methods for solv ing the corresponding problems and indicates ways to construct control algorithms and the methods of their computer realization.
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"...the book under review is very valuable in the area and the authors ought to be commended for their nice work."
--SIAM Review
"This is an interesting book..."
--Zentralblatt Math
One of the basic aspirations of contemporary research in differential games is to produce a theory that would combine theoretical depth with the ability to ensure effective calculation and simulation of the solutions. Accumulating research in differential games, this book gives an account of how to design state and output feedback control strategies for a broad class of differential games (such as, pursuit, evasion, tracking, encounter, energy - minimum cost, etc), or more generally, for games with a "positional cost functional that satisfies the evolutionary optimality principle". This is done through specially developed techniques of open-loop stochastic control and some convexification procedures of nonlinear analysis with model examples worked out.
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