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020 _a9789813362925
024 7 _a10.1007/978-981-33-6292-5
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_erda
_dES-MaUEC
050 4 _aTJ213.5
_b2021 EB
100 1 _aMa, Zhongjing,
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9677845
_d1975-
245 1 0 _aOptimal Control Theory :
_bThe Variational Method
_cby Zhongjing Ma, Suli Zou.
250 _aFirst edition 2021
264 1 _aSingapore
_bSpringer International Pulishing
_c2021
300 _a1 recurso en línea (XIX, 344 páginas)
_b106 ilustraciones, 90 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _atext file
_bPDF
_2
490 0 _aIntelligent Technologies and Robotics (SpringerNature-42732)
490 0 _aIntelligent Technologies and Robotics (R0) (SpringerNature-43728)
505 0 _aIntroduction -- Extrema of Functional via Variational Method -- Optimal Control via Variational Method -- Pontryagin's Minimum Principle -- Dynamic Programming -- Differential Games -- Discrete-time Optimal Control Problems.
520 3 _aThis book focuses on how to implement optimal control problems via the variational method. It studies how to implement the extrema of functional by applying the variational method and covers the extrema of functional with different boundary conditions, involving multiple functions and with certain constraints etc. It gives the necessary and sufficient condition for the (continuous-time) optimal control solution via the variational method, solves the optimal control problems with different boundary conditions, analyzes the linear quadratic regulator & tracking problems respectively in detail, and provides the solution of optimal control problems with state constraints by applying the Pontryagin's minimum principle which is developed based upon the calculus of variations. And the developed results are applied to implement several classes of popular optimal control problems and say minimum-time, minimum-fuel and minimum-energy problems and so on. As another key branch of optimal control methods, it also presents how to solve the optimal control problems via dynamic programming and discusses the relationship between the variational method and dynamic programming for comparison. Concerning the system involving individual agents, it is also worth to study how to implement the decentralized solution for the underlying optimal control problems in the framework of differential games. The equilibrium is implemented by applying both Pontryagin's minimum principle and dynamic programming. The book also analyzes the discrete-time version for all the above materials as well since the discrete-time optimal control problems are very popular in many fields.
988 _aSpringer_Robotics_2021
650 7 _aControl automático
_2embne
_9405125
650 7 _aSistemas, Teoría de
_2embne
_9141328
700 1 _aZou, Suli
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9677846
776 0 8 _iPrinted edition:
_z9789813362918
776 0 8 _iPrinted edition:
_z9789813362932
776 0 8 _iPrinted edition:
_z9789813362949
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-981-33-6292-5
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
_n0
998 _b03/2021
_dz
_eo
_zSI