001439770 000__ 03860cam\a2200577\i\4500
001439770 001__ 1439770
001439770 003__ OCoLC
001439770 005__ 20230309004521.0
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001439770 020__ $$a9783030823313$$q(electronic bk.)
001439770 020__ $$a3030823318$$q(electronic bk.)
001439770 020__ $$z9783030823306
001439770 020__ $$z303082330X
001439770 0247_ $$a10.1007/978-3-030-82331-3$$2doi
001439770 035__ $$aSP(OCoLC)1268465089
001439770 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dSFB$$dOCLCQ
001439770 049__ $$aISEA
001439770 050_4 $$aQA402.37$$b.L8 2021
001439770 08204 $$a003/.76$$223
001439770 1001_ $$aLü, Qi,$$eauthor.
001439770 24510 $$aMathematical control theory for stochastic partial differential equations /$$cQi Lü, Xu Zhang.
001439770 264_1 $$aCham :$$bSpringer,$$c[2021]
001439770 264_4 $$c©2021
001439770 300__ $$a1 online resource
001439770 336__ $$atext$$btxt$$2rdacontent
001439770 337__ $$acomputer$$bc$$2rdamedia
001439770 338__ $$aonline resource$$bcr$$2rdacarrier
001439770 4901_ $$aProbability theory and stochastic modelling,$$x2199-3149 ;$$vvolume 101
001439770 504__ $$aIncludes bibliographical references and index.
001439770 5050_ $$a1 Introduction -- 2 Some Preliminaries in Stochastic Calculus -- 3 Stochastic Evolution Equations -- 4 Backward Stochastic Evolution Equations -- 5 Control Problems in Stochastic Distributed Parameter Systems -- 6 Controllability for Stochastic Differential Equations in Finite Dimensions -- 7 Controllability for Stochastic Linear Evolution Equations -- 8 Exact Controllability for Stochastic Transport Equations -- 9 Controllability and Observability of Stochastic Parabolic Systems -- 10 Exact Controllability for a Refined Stochastic Wave Equation -- 11 Exact Controllability for Stochastic Schrödinger Equations -- 12 Pontryagin-Type Stochastic Maximum Principle -- 13 Linear Quadratic Optimal Control Problems -- References -- Index.
001439770 506__ $$aAccess limited to authorized users.
001439770 520__ $$aThis 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.
001439770 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 27, 2021).
001439770 650_0 $$aStochastic control theory.
001439770 650_0 $$aStochastic differential equations.
001439770 650_0 $$aDistributed parameter systems.
001439770 650_6 $$aCommande stochastique.
001439770 650_6 $$aÉquations différentielles stochastiques.
001439770 650_6 $$aSystèmes à paramètres répartis.
001439770 655_0 $$aElectronic books.
001439770 7001_ $$aZhang, Xu,$$eauthor.
001439770 77608 $$iPrint version: $$z303082330X$$z9783030823306$$w(OCoLC)1258658357
001439770 830_0 $$aProbability theory and stochastic modelling ;$$vv. 101.$$x2199-3149
001439770 852__ $$bebk
001439770 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-82331-3$$zOnline Access$$91397441.1
001439770 909CO $$ooai:library.usi.edu:1439770$$pGLOBAL_SET
001439770 980__ $$aBIB
001439770 980__ $$aEBOOK
001439770 982__ $$aEbook
001439770 983__ $$aOnline
001439770 994__ $$a92$$bISE