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Maximum Principle for Implicit Control Systems

Maximum Principle for Implicit Control Systems In this paper we derive optimality conditions in the form of a maximum principle for an optimal control problem for nonlinear implicit, or descriptor, control systems. The regularity conditions which are imposed on the system allow us to reduce the optimal control problem to an equivalent nonsmooth variational one. Nonsmooth analysis techniques together with the sliding variations of relaxed controls from optimal control are used to obtain necessary conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Maximum Principle for Implicit Control Systems

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References (14)

Publisher
Springer Journals
Copyright
Copyright © Inc. by 1999 Springer-Verlag New York
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s002459900117
Publisher site
See Article on Publisher Site

Abstract

In this paper we derive optimality conditions in the form of a maximum principle for an optimal control problem for nonlinear implicit, or descriptor, control systems. The regularity conditions which are imposed on the system allow us to reduce the optimal control problem to an equivalent nonsmooth variational one. Nonsmooth analysis techniques together with the sliding variations of relaxed controls from optimal control are used to obtain necessary conditions.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Jun 1, 2007

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