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Second-order conditions for local controllability

✍ Scribed by J. Basto-Gonçalves

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
92 KB
Volume
35
Category
Article
ISSN
0167-6911

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✦ Synopsis

This paper presents second-order (depending on the 2-jet) su cient conditions for small time local controllability of a ne smooth control systems, based on a very simple observation that can also lead to higher-order conditions; a second-order obstruction for a certain class of systems is also discussed, as is the gap between the obstruction and the su cient condition. The new results are used for deciding local controllability of systems for which a direct application of the usual criteria is not conclusive.

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A new derivation of second-order conditions for equality control constraints
✍ Javier F. Rosenblueth 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 201 KB

In this work we provide a new approach to the theory of second-order necessary conditions in optimal control, considering a problem posed over piecewise continuous controls and involving equality constrains in the controls. The proof that the second-order conditions obtained are necessary for optima