Set-valued differentials and a nonsmooth version of Chow's Theorem

Franco Rampazzo; Héctor J. Sussmann

doi:10.1109/CDC.2001.980661

Set-valued differentials and a nonsmooth version of Chow's Theorem

Franco Rampazzo
, Héctor J. Sussmann

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

A simple application of Chow's theorem was applied to prove general smooth, nonsmooth, high order and hybrid versions of the maximum principal for finite dimensional deterministic control systems. The classical technique was modified by the use of generalized differentials, time varying vector fields and abstract variations. The main theorem for generalized differential quotients (GDQ) was proved using results from controllability.

Original language	English (US)
Pages (from-to)	2613-2618
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/CDC.2001.980661
State	Published - 2001

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2001.980661

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abstract = "A simple application of Chow's theorem was applied to prove general smooth, nonsmooth, high order and hybrid versions of the maximum principal for finite dimensional deterministic control systems. The classical technique was modified by the use of generalized differentials, time varying vector fields and abstract variations. The main theorem for generalized differential quotients (GDQ) was proved using results from controllability.",

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AB - A simple application of Chow's theorem was applied to prove general smooth, nonsmooth, high order and hybrid versions of the maximum principal for finite dimensional deterministic control systems. The classical technique was modified by the use of generalized differentials, time varying vector fields and abstract variations. The main theorem for generalized differential quotients (GDQ) was proved using results from controllability.

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

Set-valued differentials and a nonsmooth version of Chow's Theorem

Abstract

All Science Journal Classification (ASJC) codes

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