Optimality Conditions for Impulsive Processes with Intermediate State Constraints

This paper is concerned with an optimal impulsive control problem under intermediate state constraints. The control system of this problem is bilinear with respect to states of bounded variation and impulsive controls given by vector Borel measures. We propose necessary and sufficient optimality con...

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Bibliographic Details
Published in:	2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) pp. 1 - 4
Main Authors:	Samsonyuk, Olga, Sorokin, Stepan
Format:	Conference Proceeding
Language:	English
Published:	IEEE 01-06-2020
Subjects:	Control theory Dynamic programming impulsive control Lyapunov type function Optimal control optimality condition Process control System dynamics Trajectory trajectory of bounded variation
Online Access:	Get full text
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Summary:	This paper is concerned with an optimal impulsive control problem under intermediate state constraints. The control system of this problem is bilinear with respect to states of bounded variation and impulsive controls given by vector Borel measures. We propose necessary and sufficient optimality conditions based on special functions of the Lyapunov type. These functions possess the property of strong and weak monotonicity with respect to the impulsive control system.
DOI:	10.1109/STAB49150.2020.9140658