New theories of set-valued differentials and new versions of the maximum principle of optimal control theory

DOI10.1007/BFb0110322zbMath0998.93022OpenAlexW19586736MaRDI QIDQ2709099

Héctor J. Sussmann

Publication date: 16 November 2002

Published in: Nonlinear control in the year 2000 volume 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0110322

zbMATH Keywords

maximum principlehybrid systemsdifferential inclusionset-valued differentialgeneralized differential quotientspath-integral generalized differentialvariational generators

Mathematics Subject Classification ID

Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

On some concepts of generalized differentials ⋮ New approximation method in the proof of the Maximum Principle for nonsmooth optimal control problems with state constraints ⋮ Stabilization and optimization of switched linear systems ⋮ On uniqueness of generalized differential quotients ⋮ Set separation, approximating multicones, and the Lipschitz maximum principle ⋮ Analysis and synthesis of switched linear control systems ⋮ A Pontryagin Maximum Principle for Systems of Flows ⋮ On the Noether theorem for optimal control