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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Mathematical Control Theory for Stochastic Partial Differential Equations (Hardcover, 1st ed. 2021)
Loot Price: R4,304
Discovery Miles 43 040
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Mathematical Control Theory for Stochastic Partial Differential Equations (Hardcover, 1st ed. 2021)
Series: Probability Theory and Stochastic Modelling, 101
Expected to ship within 12 - 17 working days
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This is the first book to systematically present control theory for
stochastic distributed parameter systems, a comparatively new
branch of mathematical control theory. The new phenomena and
difficulties arising in the study of controllability and optimal
control problems for this type of system are explained in detail.
Interestingly enough, one has to develop new mathematical tools to
solve some problems in this field, such as the global Carleman
estimate for stochastic partial differential equations and the
stochastic transposition method for backward stochastic evolution
equations. In a certain sense, the stochastic distributed parameter
control system is the most general control system in the context of
classical physics. Accordingly, studying this field may also yield
valuable insights into quantum control systems. A basic grasp of
functional analysis, partial differential equations, and control
theory for deterministic systems is the only prerequisite for
reading this book.
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