FAZE 发表于 2025-3-26 23:36:27
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Linear Quadratic Optimal Control Problems,eedback forms), served as the second order adjoint equations or the Riccati type equations. As in the previous chapter, it is very difficult to show the existence of solutions to these equations. We shall use the stochastic transposition method to overcome this difficulty.beta-carotene 发表于 2025-3-27 06:03:36
2199-3130 to study quantum control systems mathematicallyThis 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 optim指派 发表于 2025-3-27 09:42:27
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Controllability for Stochastic Linear Evolution Equations,cit forms of controls for the controllability problems are also provided. Finally, the controllability of some forward stochastic evolution equationsare shown to be equivalent to that of suitably chosen backward stochastic evolution equations.Solace 发表于 2025-3-27 20:07:17
Book 2021al 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 Carlema声明 发表于 2025-3-27 22:37:28
Some Preliminaries in Stochastic Calculus,is book. Especially, we collect the most relevant preliminaries for studying control problems in stochastic distributed parameter systems. Also, we will provide some unified notations (which may differ from one paper/book to another) to be used in later chapters.拍翅 发表于 2025-3-28 05:53:14
Backward Stochastic Evolution Equations, of control problems for stochastic distributed parameter systems. In the case of natural filtration, by means of the Martingale Representation Theorem, these equations are proved to be well-posed in the sense of mild solutions; while for the general filtration, using our stochastic transposition meconference 发表于 2025-3-28 08:29:41
Control Problems for Stochastic Distributed Parameter Systems,on in particular. Then, we shall give a quite general formulation of some typical control problems, such as controllability/observability problems and optimal control problems for stochastic distributed parameter systems.Lumbar-Spine 发表于 2025-3-28 13:32:08
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