Stochastic Systems: Theory and Applications (Hardcover) (ISBN-13: 9789810247423)

This book presents the general theory and basic methods of linear and nonlinear stochastic systems (StS) i.e. dynamical systems described by stochastic finite- and infinite-dimensional differential, integral, integrodifferential, difference etc equations. The general StS theory is based on the equations for characteristic functions and functionals. The book outlines StS structural theory, including direct numerical methods, methods of normalization, equivalent linearization and parametrization of one- and multi-dimensional distributions, based on moments, quasimoments, semi-invariants and orthogonal expansions. Special attention is paid to methods based on canonical expansions and integral canonical representations. About 500 exercises and problems are provided. The authors also consider applications in mathematics and mechanics, physics and biology, control and information processing, operations research and finance.

Author: V. S. Pugachev,Igor Sinitsyn
ISBN-10: 9810247427
ISBN-13: 9789810247423
Publisher: World Scientific Publishing Company
Language: English
Published: 01/03/2002
Pages: 928
Format: Hardcover