Open AccessProceedings Article10.1109/CDC40024.2019.9030195

On Optimal Control Problems with Nonregular Mixed Constraints

- 01 Dec 2019

- pp 2410-2415

TL;DR: The nonregular case has received little attention although some interesting problems, including those involving sweeping systems and some problems arising from robotics, can be easily formulated as problems with nonregular mixed constraints.

Abstract: Necessary optimality conditions for optimal control problems with mixed constraints are known when some regular conditions are satisfied. However, the nonregular case has received little attention although some interesting problems, including those involving sweeping systems and some problems arising from robotics, can be easily formulated as problems with nonregular mixed constraints. In this work we study and discuss necessary conditions for optimal control problems with nonregular mixed constraints.

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1. What have the authors contributed in "Optimal control problems with nonregular mixed constraints" ?

In this paper the authors derive necessary conditions for a simple class of mixed constrained optimal control problems that do not satisfy known regularity conditions on the mixed constraints.

Citations

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Journal Article•10.1007/BF01128760

Maximum principle for the general optimal control problem with phase and regular mixed constraints

A. V. Dmitruk

- 01 Oct 1993

- Computational Mathematics and Modeling

TL;DR: In this paper, the authors prove the maximum principle for the problem outlined in the title with the aid (or more precisely in the class) of so-called sliding variations, which are particular cases of the general Dubovitskii-Milyutin problem.

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On Optimal Control Problems with Nonregular Mixed Constraints

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Most frequently asked questions

1. What have the authors contributed in "Optimal control problems with nonregular mixed constraints" ?

Citations

Optimal control in chemical engineering: Past, present and future

References

Optimization and nonsmooth analysis

The Mathematical Theory of Optimal Processes.

The Mathematical Theory of Optimal Processes

Linear Operators. Part I: General Theory.

Maximum principle for the general optimal control problem with phase and regular mixed constraints

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