An optimal control problem by a first-order hyperbolic system with delay and integral control constraints

A non-linear optimal control problem for a hyperbolic system of first order equations on a line in the case of degeneracy of the initial condition line is considered. This problem describes many natural, economic and social processes, in particular, the optimality of the Slutsky demand, the theory of bio-population, etc. The research is based on the method of characteristics and the use of nonstandard variations of the increment of target functional, which leads to the construction of efficient computational algorithms.

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Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints

Control and Estimation of Distributed Parameter Systems ◽

10.1007/978-3-0348-8849-3_7 ◽

1998 ◽

pp. 89-102 ◽

Cited By ~ 2

Author(s):

E. Casas ◽

J.-P. Raymond ◽

H. Zidani

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Elliptic Equations ◽

State Constraints ◽

Semilinear Elliptic Equations ◽

Control Constraints ◽

Integral Control ◽

Pointwise State Constraints ◽

Semilinear Elliptic

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Convex optimal control problem subject to control constraints

Stability of Solutions to Convex Problems of Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0039572 ◽

2006 ◽

pp. 16-27

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Control Constraints

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Maximum principle for stochastic optimal control problem of forward-backward system with delay

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5400152 ◽

2009 ◽

Cited By ~ 4

Author(s):

Li Chen ◽

Zhen Wu

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Optimal Control Problem ◽

Control Problem ◽

Stochastic Optimal Control ◽

System With Delay ◽

Stochastic Optimal Control Problem

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An optimal control problem for the lotka-volterra system with delay

Nonlinear Analysis ◽

10.1016/0362-546x(95)00156-p ◽

1997 ◽

Vol 28 (2) ◽

pp. 247-262 ◽

Cited By ~ 6

Author(s):

Ioan Hrinca

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Volterra System ◽

System With Delay

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Fractional optimal control problem for differential system with delay argument

Advances in Difference Equations ◽

10.1186/s13662-017-1121-6 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 6

Author(s):

G. Mohamed Bahaa

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Differential System ◽

Fractional Optimal Control Problem ◽

Fractional Optimal Control ◽

Delay Argument ◽

System With Delay

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First-Order System Least-Squares Methods for an Optimal Control Problem by the Stokes Flow

SIAM Journal on Numerical Analysis ◽

10.1137/070701157 ◽

2009 ◽

Vol 47 (2) ◽

pp. 1524-1545 ◽

Cited By ~ 5

Author(s):

Soorok Ryu ◽

Hyung-Chun Lee ◽

Sang Dong Kim

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Least Squares ◽

Stokes Flow ◽

Order System ◽

First Order

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On boundary optimal control problem for an arterial system: First-order optimality conditions

Networks & Heterogeneous Media ◽

10.3934/nhm.2018027 ◽

2018 ◽

Vol 13 (4) ◽

pp. 585-607 ◽

Cited By ~ 2

Author(s):

Ciro D'Apice ◽

◽

Olha P. Kupenko ◽

Rosanna Manzo ◽

◽

...

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Arterial System ◽

First Order ◽

First Order Optimality Conditions

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On an optimal control problem involving first order hyperbolic systems with boundary controls

Numerical Functional Analysis and Optimization ◽

10.1080/01630568208816111 ◽

1982 ◽

Vol 4 (2) ◽

pp. 171-190 ◽

Cited By ~ 9

Author(s):

K. G. Choo ◽

K. L. Teo ◽

Z. S. Wu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Hyperbolic Systems ◽

First Order ◽

Boundary Controls

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A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2017031 ◽

2018 ◽

Vol 24 (3) ◽

pp. 1181-1206 ◽

Cited By ~ 1

Author(s):

Susanne C. Brenner ◽

Thirupathi Gudi ◽

Kamana Porwal ◽

Li-yeng Sung

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Control Constraints ◽

Distributed Optimal Control ◽

And Control ◽

State And Control Constraints ◽

Element Method

We design and analyze a Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints on convex polygonal domains. It is based on the formulation of the optimal control problem as a fourth order variational inequality. Numerical results that illustrate the performance of the method are also presented.

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