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A Higher-Order Maximum Principle for Impulsive Optimal Control Problems [PDF]
SIAM Journal on Control and Optimization, 2020 We consider a nonlinear system, affine with respect to an unbounded control $u$ which is allowed to range in a closed cone. To this system we associate a Bolza type minimum problem, with a Lagrangian having sublinear growth with respect to $u$. This lack of coercivity gives the problem an {\it impulsive} character, meaning that minimizing sequences of ...
M. Soledad Aronna +2 more
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State-Constrained Optimal Control Problems of Impulsive Differential Equations [PDF]
Applied Mathematics & Optimization, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Forcadel, Nicolas +2 more
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Optimal impulse control problems and linear programming [PDF]
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009 Optimal impulse control problems are, in general, difficult to solve. A current research goal is to isolate those problems that lead to tractable solutions. In this paper, we identify a special class of optimal impulse control problems which are easy to solve. Easy to solve means that solution algorithms are polynomial in time and therefore suitable to
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Necessary Conditions for Optimal Impulsive Control Problems
SIAM Journal on Control and Optimization, 1997 Summary: Necessary conditions of optimality, in the form of a maximum principle, are derived for a class of optimal control problems, certain of whose controls are represented by measures and whose state trajectories are functions of bounded variation.
Silva, G. N., Vinter, R. B.
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Consistent Approximations to Impulsive Optimal Control Problem
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2017 We analyse the theory of consistent approximations given by Polak and we use it in an impulsive optimal control problem. We reparametrize the original system and build consistent approximations for this new reparametrized problem. So, we prove that if a sequence of solution of the consistent approximations is converging, it will converge to a solution ...
Porto, Daniella +2 more
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Maximum Principle for Stochastic Recursive Optimal Control Problems Involving Impulse Controls [PDF]
Abstract and Applied Analysis, 2012 We consider a stochastic recursive optimal control problem in which the control variable has two components: the regular control and the impulse control. The control variable does not enter the diffusion coefficient, and the domain of the regular controls is not necessarily convex. We establish necessary optimality conditions, of the Pontryagin maximum
Wu, Zhen, Zhang, Feng
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Pontryagin’s maximum principle for optimal impulsive control problems
Doklady Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arutyunov A.V. +2 more
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Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems
Differential Equations, 2018 This paper can be divided into two parts: In the first part, authors provide necessary optimality conditions associated to an impulse control problem. Such conditions are obtained through the use of the maximum principle method by using also what authors call as ``Frobenius conditions''.
Arutyunov A.V. +3 more
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Optimality conditions with feedback controls for optimal impulsive control problems
IFAC-PapersOnLine, 2018 Abstract This paper concerns with optimal impulsive control problems with trajectories of bounded variation. Necessary optimality conditions based on weakly monotone solutions of the Hamilton Jacobi inequality and feedback controls are discussed. A particular attention is paid to necessary optimality conditions with feedback controls, called Feedback
Vladimir A. Dykhta, Olga N. Samsonyuk
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On optimal control problems with impulsive commutative dynamics [PDF]
52nd IEEE Conference on Decision and Control, 2013 This article will appear in the Proceedings of the 52nd IEEE Conference on Decision and Control ...
Aronna, Maria Soledad, Rampazzo, Franco
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