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

矜持

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(xué)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(xué)科排名




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書目名稱Control Theory from the Geometric Viewpoint被引頻次學(xué)科排名




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書目名稱Control Theory from the Geometric Viewpoint年度引用學(xué)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(xué)科排名

變化無常

Left-Atrium

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].

Exhilarate

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).

前兆

抱狗不敢前

抱狗不敢前

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

Communicate

Soliloquy

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].

MAZE

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: