Titlebook: Estimation and Control of Dynamical Systems; Alain Bensoussan Book 2018 Springer International Publishing AG, part of Springer Nature 2018

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Differential Games,We have . players, whose decisions are functions of time ..(.), . = 1, ⋯ , ., with values in ..

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Stackelberg Differential Games,In Stackelberg games, the players are not on an equal footing. There is a leader and a follower. This is a generalization of the two-player zero-sum differential games considered in Section 16.4, in particular.

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Target Problems,We follow N. Touzi (., Springer, 2013). We consider a financial market characterized by . assets, whose prices ..(.) follow the system of equations

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https://doi.org/10.1007/978-3-030-91646-6 with stability we have also used a method that consists in solving an optimal control problem. Optimal control represents an essential branch of control theory. We shall present the general theory later on. In the case of linear systems, the results can be obtained by ad hoc techniques that are use

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Roberto Bottiglia,Flavio Pichleroptimization problem, it is natural to look for necessary conditions of optimality for an optimal control. We explore this question in this section. Since it is a dynamic optimization, the role of time in expressing the necessary condition is important.

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The Matter of Crowdfunding in China,ightly innovative. We try to present the basic concepts, and we do so for PDEs first. Parabolic quasilinear equations have been, of course, at the foundation of functional analysis and its development. However, in physics and in mechanics, one deals mostly with boundary value problems. The boundary

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978-3-030-09236-8Springer International Publishing AG, part of Springer Nature 2018