思想上升 发表于 2025-3-28 17:14:34
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https://doi.org/10.1007/978-3-662-06404-7Lie bracket; Nonlinear system; Optimal control; Pontryagin-Type; control theory; curvature; diffeomorphism注视 发表于 2025-3-29 08:59:24
978-3-642-05907-0Springer-Verlag Berlin Heidelberg 2004predict 发表于 2025-3-29 15:01:42
,Thesenförmige 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 , ). For basic definitions and facts of functional analysis used in this chapter, one can consult e.g. .思考才皱眉 发表于 2025-3-29 18:59:49
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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 ofFACET 发表于 2025-3-30 02:14:17
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.wiN斯巴达人 发表于 2025-3-30 06:37:53
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