000 01832 a2200277 4500
003 OSt
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020 _a9783030209216
040 _cIIT Kanpur
041 _aeng
082 _a516.642
_bSu71s
100 _aSun, Jingrui
245 _aStochastic linear-quadratic optimal control theory
_bopen-loop and closed-loop solutions
_cJingrui Sun and Jiongmin Yong
260 _bSpringer
_c2020
_aSwitzerland
300 _axiv, 120p
440 _aSpringer briefs in mathematics
490 _a/ edited by Nicola Bellomo ... [et al.]
520 _aThis book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents the results in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, it precisely identifies, for the first time, the interconnections between three well-known, relevant issues – the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.
650 _aMathematical optimization
650 _aMathematics philosophy
650 _aProbabilities
650 _aSystem theory
700 _aYong, Jiongmin
942 _cBK
999 _c567320
_d567320