First and second order necessary conditions of optimality for impulsive control problems [PDF]
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004 We present first and second order necessary conditions of optimality for a general class of nonlinear measure driven dynamic control systems subject to both equality and inequality endpoint state constraints. An important feature of our result is that the conditions remain informative even for abnormal control processes.
Aram V. Arutyunov +2 more
openaire +4 more sources
Nonessential functionals in multiobjective optimal control problems [PDF]
, 2007 We address the problem of obtaining well-defined criteria for multiple criteria optimal control problems. Necessary and sufficient conditions for an objective functional to be nonessential are proved.
Malinowska, A.B. +3 more
core +1 more source
Optimal control problems for impulsive systems with integral boundary conditions
Electronic Journal of Differential Equations, 2013 In this article, the optimal control problem is considered when the state of the system is described by the impulsive differential equations with integral boundary conditions.
Allaberen Ashyralyev, Yagub A. Sharifov
doaj
New approach to stochastic optimal control and applications to economics [PDF]
, 2005 This paper provides new insights into the solution of optimal stochastic control problems by means of a system of partial differential equations, which characterize directly the optimal control.
Rincón-Zapatero, Juan Pablo +1 more
core +1 more source
Optimal Control of Impulsive Systems Under State, Control, and Terminal Constraints
MathematicsWe establish a version of Pontryagin’s maximum principle for optimal control problems with impulses and phase constraints. Using the Dubovitskii–Milyutin theory, we construct a conic variational framework that handles impulsive dynamics and general state
Hugo Leiva, Mozhgan N. Entekhabi
doaj +1 more source
The solution to an impulse control problem motivated by optimal harvesting
Journal of Mathematical Analysis and ApplicationsWe consider a stochastic impulse control problem that is motivated by applications such as the optimal exploitation of a natural resource. In particular, we consider a stochastic system whose uncontrolled state dynamics are modelled by a non-explosive positive linear diffusion.
Liu, Zhesheng, Zervos, Mihail
openaire +2 more sources
Necessary conditions involving Lie brackets for impulsive optimal control problems [PDF]
2019 IEEE 58th Conference on Decision and Control (CDC), 2019 Conference ...
Aronna, M. Soledad +2 more
openaire +2 more sources
Optimal control of Newton-type problems of minimal resistance [PDF]
, 2006 We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition.
Plakhov, A.Yu., Torres, D.F.M.
core +1 more source
Construction of the Reachable Set for a Two-Dimensional Bilinear Impulsive Control System
Известия Иркутского государственного университета: Серия "Математика", 2016 This paper deals with a problem of construction of the reachable set for an impulsive control system with trajectories of bounded variation and impulsive controls (regular vector measures).
D. Apanovich, V. Voronov, O. Samsonyuk
doaj
Optimal trajectory design for interception and deflection of Near Earth Objects [PDF]
, 2010 Many asteroids and comets orbit the inner solar system; among them Near Earth Objects (NEOs) are those celestial bodies for which the orbit lies close, and sometimes crosses, the Earth's orbit.
Colombo, Camilla +2 more
core +3 more sources