Titlebook: Mathematical Control Theory for Stochastic Partial Differential Equations; Qi Lü,Xu Zhang Book 2021 Springer Nature Switzerland AG 2021 st

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遗传学

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

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

对手

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

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

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

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 me

conference

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.

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