矜持 发表于 2025-3-21 16:12:43
书目名称Control Theory from the Geometric Viewpoint影响因子(影响力)<br> http://impactfactor.cn/2024/if/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint影响因子(影响力)学科排名<br> http://impactfactor.cn/2024/ifr/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint网络公开度<br> http://impactfactor.cn/2024/at/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint网络公开度学科排名<br> http://impactfactor.cn/2024/atr/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint被引频次<br> http://impactfactor.cn/2024/tc/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint被引频次学科排名<br> http://impactfactor.cn/2024/tcr/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint年度引用<br> http://impactfactor.cn/2024/ii/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint年度引用学科排名<br> http://impactfactor.cn/2024/iir/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint读者反馈<br> http://impactfactor.cn/2024/5y/?ISSN=BK0237296<br><br> <br><br>书目名称Control Theory from the Geometric Viewpoint读者反馈学科排名<br> http://impactfactor.cn/2024/5yr/?ISSN=BK0237296<br><br> <br><br>变化无常 发表于 2025-3-21 21:43:46
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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 , ). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. .Exhilarate 发表于 2025-3-22 06:50:12
State Linearizability of Nonlinear Systems,eek conditions on vector fields .., ....., .. that guarantee existence of a diffeomorphism (global .: . → ℝ. or local .: .. ⊂ . → .. ⊂ ℝ.) which transforms nonlinear system (4.1) into a controllable linear one (3.1).前兆 发表于 2025-3-22 11:10:20
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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 contrCommunicate 发表于 2025-3-23 01:15:35
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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 ℝ. by L. S. Pontryagin and his collaborators .MAZE 发表于 2025-3-23 06:15:32
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: