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• W2034387725 abstract "We prove sufficient conditions for the instantaneous local controllability of nonlinear (nonsmooth) control systems with feedback. We introduce for that purpose the high-order variations of the reachable map, which is related strongly to its shape. It is a direction in which the reachable map evolves. The cone of variations is convex. This allows one to prove the following theorem: if there exist variationsv1, ...,v p such that ϑ ∈ int co{v1, ...,v p }, then the system is small-time locally controllable at the point of equilibrium. We provide a short proof of the main result of Sussmann (Ref. 12) and extend it to differential inclusions." @default.
• W2034387725 created "2016-06-24" @default.
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• W2034387725 date "1986-12-01" @default.
• W2034387725 modified "2023-10-14" @default.
• W2034387725 title "Local controllability of control systems with feedback" @default.
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• W2034387725 doi "https://doi.org/10.1109/cdc.1986.267516" @default.
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