派博傳思國際中心

標題: Titlebook: Control Theory from the Geometric Viewpoint; Andrei A. Agrachev,Yuri L. Sachkov Book 2004 Springer-Verlag Berlin Heidelberg 2004 Lie brack [打印本頁]

作者: 矜持    時間: 2025-3-21 16:12
書目名稱Control Theory from the Geometric Viewpoint影響因子(影響力)




書目名稱Control Theory from the Geometric Viewpoint影響因子(影響力)學科排名




書目名稱Control Theory from the Geometric Viewpoint網(wǎng)絡(luò)公開度




書目名稱Control Theory from the Geometric Viewpoint網(wǎng)絡(luò)公開度學科排名




書目名稱Control Theory from the Geometric Viewpoint被引頻次




書目名稱Control Theory from the Geometric Viewpoint被引頻次學科排名




書目名稱Control Theory from the Geometric Viewpoint年度引用




書目名稱Control Theory from the Geometric Viewpoint年度引用學科排名




書目名稱Control Theory from the Geometric Viewpoint讀者反饋




書目名稱Control Theory from the Geometric Viewpoint讀者反饋學科排名





作者: 變化無常    時間: 2025-3-21 21:43

作者: Left-Atrium    時間: 2025-3-22 01:57
Elements of Chronological Calculus,dea is to replace a nonlinear object, a smooth manifold .,by a linear, although infinite-dimensional one: the commutative algebra of smooth functions on . (for details, see [19], [22]). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. [144].
作者: Exhilarate    時間: 2025-3-22 06:50
State Linearizability of Nonlinear Systems,eek conditions on vector fields .., ....., .. that guarantee existence of a diffeomorphism (global .: . → ?. or local .: .. ? . → .. ? ?.) which transforms nonlinear system (4.1) into a controllable linear one (3.1).
作者: 前兆    時間: 2025-3-22 11:10

作者: 抱狗不敢前    時間: 2025-3-22 14:26

作者: 抱狗不敢前    時間: 2025-3-22 18:12
Optimal Control Problem,system, we suppose that:.is a smooth vector field on . for any fixed . ∈ .,.is a continuous mapping for . ∈ ., . ∈ ., and moreover, in any local coordinates on ..is a continuous mapping for . ∈ ., . ∈ ..Admissible controls are measurable locally bounded mappings.Substitute such a control . for contr
作者: Communicate    時間: 2025-3-23 01:15

作者: Soliloquy    時間: 2025-3-23 04:36
Pontryagin Maximum Principle, to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter. The first classical version of PMP was obtained for optimal control problems in ?. by L. S. Pontryagin and his collaborators [15].
作者: MAZE    時間: 2025-3-23 06:15
Hamiltonian Systems for Geometric Optimal Control Problems, to this system. First, choose a basis in tangent spaces ... of the fields ... and their iterated Lie brackets:.we assume that the system is bracket-generating. Then we have special coordinates in the tangent spaces:
作者: Incorruptible    時間: 2025-3-23 12:20
Control Theory from the Geometric Viewpoint978-3-662-06404-7Series ISSN 0938-0396
作者: 射手座    時間: 2025-3-23 15:35
,Thesenf?rmige Zusammenfassung,dea is to replace a nonlinear object, a smooth manifold .,by a linear, although infinite-dimensional one: the commutative algebra of smooth functions on . (for details, see [19], [22]). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. [144].
作者: Fierce    時間: 2025-3-23 20:11

作者: Geyser    時間: 2025-3-23 23:53

作者: harbinger    時間: 2025-3-24 03:42
Virtual Reality in der Produktentwicklung to this system. First, choose a basis in tangent spaces ... of the fields ... and their iterated Lie brackets:.we assume that the system is bracket-generating. Then we have special coordinates in the tangent spaces:
作者: 濕潤    時間: 2025-3-24 08:45

作者: 深陷    時間: 2025-3-24 12:34

作者: 交響樂    時間: 2025-3-24 15:00

作者: 領(lǐng)先    時間: 2025-3-24 21:45
https://doi.org/10.1007/978-3-658-06300-9In this chapter we consider rotations of a . around a fixed point. That is, we study motions of a body in the three-dimensional space such that:.We consider both free motions (in the absence of external forces) and controlled motions (when external forces are applied in order to bring the body to a desired state).
作者: 說明    時間: 2025-3-24 23:24

作者: itinerary    時間: 2025-3-25 05:43

作者: Phagocytes    時間: 2025-3-25 11:27
https://doi.org/10.1007/978-3-658-06809-7A well-known theorem states that if a level surface of a Hamiltonian is convex, then it contains a periodic trajectory of the Hamiltonian system [142], [147]. In this chapter we prove a more general statement as an application of optimal control theory for linear systems.
作者: GLUT    時間: 2025-3-25 14:57
,Venezia Verde – Grünes Venedig?,In this chapter we study the following optimal control problem:.where . is a compact convex polytope in ?., and A and . are constant matrices of order . × . and . × . respectively. Such problem is called ..
作者: 撕裂皮肉    時間: 2025-3-25 16:06

作者: 擦試不掉    時間: 2025-3-25 22:13

作者: 共同生活    時間: 2025-3-26 01:52

作者: NUL    時間: 2025-3-26 04:54

作者: 態(tài)學    時間: 2025-3-26 10:01

作者: myriad    時間: 2025-3-26 15:11
The Orbit Theorem and its Applications,Let . ? Vec . be any set of smooth vector fields. In order to simplify notation, we assume that all fields from . are complete. Actually, all further definitions and results have clear generalizations to the case of noncomplete fields; we leave them to the reader.
作者: 漫不經(jīng)心    時間: 2025-3-26 17:15
Rotations of the Rigid Body,In this chapter we consider rotations of a . around a fixed point. That is, we study motions of a body in the three-dimensional space such that:.We consider both free motions (in the absence of external forces) and controlled motions (when external forces are applied in order to bring the body to a desired state).
作者: 過去分詞    時間: 2025-3-26 21:07
Attainable Sets,In this chapter we study general properties of attainable sets. We consider families of vector fields . on a smooth manifold . that satisfy the property.In this case the system . is called ., or .. By the analytic version of the Orbit Theorem (Corollary 5.17), orbits of a bracket-generating system are open subsets of the state space ..
作者: Paradox    時間: 2025-3-27 04:18
Examples of Optimal Control Problems,In this chapter we apply Pontryagin Maximum Principle to solve concrete optimal control problems.
作者: Pastry    時間: 2025-3-27 07:50

作者: 踉蹌    時間: 2025-3-27 10:26
Linear Time-Optimal Problem,In this chapter we study the following optimal control problem:.where . is a compact convex polytope in ?., and A and . are constant matrices of order . × . and . × . respectively. Such problem is called ..
作者: 戰(zhàn)役    時間: 2025-3-27 17:34
Linear-Quadratic Problem,In this chapter we study a class of optimal control problems very popular in applications, .. That is, we consider linear systems with quadratic cost functional:..
作者: PET-scan    時間: 2025-3-27 20:24
Sufficient Optimality Conditions, Hamilton-Jacobi Equation, and Dynamic Programming,Pontryagin Maximum Principle is a universal and powerful necessary optimality condition, but the theory of sufficient optimality conditions is not so complete. In this section we consider an approach to sufficient optimality conditions that generalizes fields of extremals of the Classical Calculus of Variations.
作者: Decimate    時間: 2025-3-28 01:32

作者: Allergic    時間: 2025-3-28 03:26

作者: Urologist    時間: 2025-3-28 08:14

作者: 狂亂    時間: 2025-3-28 11:41
Elements of Chronological Calculus,dea is to replace a nonlinear object, a smooth manifold .,by a linear, although infinite-dimensional one: the commutative algebra of smooth functions on . (for details, see [19], [22]). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. [144].
作者: 思想上升    時間: 2025-3-28 17:14

作者: 撫慰    時間: 2025-3-28 20:12

作者: 符合規(guī)定    時間: 2025-3-29 01:26

作者: VEIL    時間: 2025-3-29 06:51
https://doi.org/10.1007/978-3-662-06404-7Lie bracket; Nonlinear system; Optimal control; Pontryagin-Type; control theory; curvature; diffeomorphism
作者: 注視    時間: 2025-3-29 08:59
978-3-642-05907-0Springer-Verlag Berlin Heidelberg 2004
作者: predict    時間: 2025-3-29 15:01
,Thesenf?rmige Zusammenfassung,dea is to replace a nonlinear object, a smooth manifold .,by a linear, although infinite-dimensional one: the commutative algebra of smooth functions on . (for details, see [19], [22]). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. [144].
作者: 思考才皺眉    時間: 2025-3-29 18:59

作者: esoteric    時間: 2025-3-29 19:47
https://doi.org/10.1007/978-3-658-06300-9s of the systems. A falling cat exhibits a well-known example of such a control. If a cat is left free over ground (e.g. if it falls from a tree or is thrown down by a child), then the cat starts to rotate its tail and bend its body, and finally falls to the ground exactly on its paws, regardless of
作者: FACET    時間: 2025-3-30 02:14
Vergaberecht als praktikables Regulatived . ∈ ., ., . is a smooth vector field on ., and, moreover, the mapping.is smooth. Admissible controls are measurable locally bounded mappings.(for simplicity, one can consider piecewise continuous controls). If such a control . substituted to control system (9.1),one obtains a nonautonomous ODE.wi
作者: N斯巴達人    時間: 2025-3-30 06:37

作者: FECK    時間: 2025-3-30 10:24
Vorkurs Mathematik für Nebenfachstudierendee make use of some standard technique of Symplectic Geometry. In this chapter we develop such a technique. Before this we recall some basic facts on calculus of exterior differential forms on manifolds. The exposition in this chapter is rather explanatory than systematic, it is not a substitute to a
作者: podiatrist    時間: 2025-3-30 12:30
Vorkurs Mathematik für Nebenfachstudierende to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter. The first classical version of PMP was obtained for optimal control problems in ?. by L. S. Pontryagin and his collaborators [15].
作者: Tonometry    時間: 2025-3-30 18:25

作者: Gastric    時間: 2025-3-31 00:02
Feedback and State Equivalence of Control Systems,th the right-hand side smooth in . and measurable, locally bounded in .. For such ODEs, there holds a standard theorem on existence and uniqueness of solutions, at least local. Solutions . to ODEs (9.2) are Lipschitzian curves in . (see Subsect. 2.4.1).
作者: 顧客    時間: 2025-3-31 02:54
Optimal Control Problem,ol parameter into system (10.1), then we obtain a nonautonomous ODE .. By the classical Carathéodory’s Theorem, for any point .. ∈ ., the Cauchy problem.has a unique solution, see Subsect. 2.4.1. We will often fix the initial point .. and then denote the corresponding solution to problem (10.5) as ....
作者: deficiency    時間: 2025-3-31 05:22
Book 2004duate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Contr
作者: GLUT    時間: 2025-3-31 10:10
0938-0396 t of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional A
作者: Interregnum    時間: 2025-3-31 16:48

作者: gangrene    時間: 2025-3-31 20:33

作者: 抗生素    時間: 2025-3-31 22:21

作者: Unsaturated-Fat    時間: 2025-4-1 05:06

作者: 團結(jié)    時間: 2025-4-1 08:29
Vergaberecht als praktikables Regulativth the right-hand side smooth in . and measurable, locally bounded in .. For such ODEs, there holds a standard theorem on existence and uniqueness of solutions, at least local. Solutions . to ODEs (9.2) are Lipschitzian curves in . (see Subsect. 2.4.1).
作者: IVORY    時間: 2025-4-1 12:27

作者: adumbrate    時間: 2025-4-1 16:27

作者: 生氣的邊緣    時間: 2025-4-1 20:24

作者: 貿(mào)易    時間: 2025-4-1 23:04

作者: 抑制    時間: 2025-4-2 05:56
Radiochemistry Automation for PET,operated devices and iii) computer-controlled devices are described for the syntheses of .C-, .O- and .F-labelled radiopharmaceuticals. Approaches to robot-based automation are also discussed and exemplified.
作者: sorbitol    時間: 2025-4-2 08:05





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