scholarly journals Optimal conditions for a control problem associated to an economical model

2019 ◽  
Vol 29 ◽  
pp. 01012
Author(s):  
Olivia Bundău ◽  
Adina Juratoni
Keyword(s):  
Steady State ◽  
Differential Equations ◽  
Control Problem ◽  
Growth Model ◽  
Continuous Time ◽  
Necessary Conditions ◽  
Optimal Conditions ◽  
Pontryagin’S Principle ◽  
Pontryagin's Principle ◽  
Necessary Conditions For Optimality

In this paper, we presents a growth model in infinite and continuous time, leads to a control optimal problem. Using the Pontryagin's principle we done necessary conditions for optimality. Also, weprove the existence, uniqueness and stability of the steady state for a differential equations system.

Discrete Versus Continuous Time in an Endogenous Growth Model with Durable Consumption

2014 ◽  
Vol 2 (3-4) ◽  
pp. 67-75 ◽  
Author(s):  
Manuel A. Gómez
Keyword(s):  
Steady State ◽  
Endogenous Growth ◽  
Growth Model ◽  
Continuous Time ◽  
Continuous Variable ◽  
Continuous Time Model ◽  
Time Model ◽  
Durable Consumption ◽  
Monotonic Convergence ◽  
Endogenous Growth Model

AbstractThe choice of time as a discrete or continuous variable may radically affect the stability of equilibrium in an endogenous growth model with durable consumption. In the continuous-time model the steady state is locally saddle-path stable with monotonic convergence. However, in the discrete-time model the steady state may be unstable or saddle-path stable with monotonic or oscillatory convergence.

scholarly journals Necessary Conditions for Optimality for Stochastic Evolution Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
AbdulRahman Al-Hussein
Keyword(s):  
Control Problem ◽  
Evolution Equations ◽  
Necessary Conditions ◽  
Control Variable ◽  
Evolution System ◽  
Stochastic Evolution ◽  
The Maximum Principle ◽  
Stochastic Optimal Control Problem ◽  
Necessary Conditions For Optimality ◽  
Semigroup Approach

This paper is concerned with providing the maximum principle for a control problem governed by a stochastic evolution system on a separable Hilbert space. In particular, necessary conditions for optimality for this stochastic optimal control problem are derived by using the adjoint backward stochastic evolution equation. Moreover, all coefficients appearing in this system are allowed to depend on the control variable. We achieve our results through the semigroup approach.

scholarly journals A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions

2015 ◽  
Vol 4 (4) ◽  
pp. 311-325 ◽  
Author(s):  
Pierluigi Colli ◽  
Gianni Gilardi ◽  
Jürgen Sprekels
Keyword(s):  
Boundary Conditions ◽  
Control Problem ◽  
Boundary Control ◽  
Necessary Conditions ◽  
Dynamic Boundary Conditions ◽  
First Order ◽  
Boundary Control Problem ◽  
Dynamic Boundary ◽  
Necessary Conditions For Optimality ◽  
Cahn Hilliard Equation

AbstractA boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.

Optimal feedback control of stochastic McShane differential systems

1974 ◽  
Vol 11 (2) ◽  
pp. 302-309 ◽  
Author(s):  
N. U. Ahmed ◽  
K. L. Teo
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Necessary Conditions ◽  
Parabolic Type ◽  
Optimal Feedback Control ◽  
Distributed Parameter ◽  
Optimal Controls ◽  
Necessary Conditions For Optimality ◽  
Reduced Problem

In this paper, the optimal control problem of system described by stochastic McShane differential equations is considered. It is shown that this problem can be reduced to an equivalent optimal control problem of distributed parameter systems of parabolic type with controls appearing in the coefficients of the differential operator. Further, to this reduced problem, necessary conditions for optimality and an existence theorem for optimal controls are given.

Optimal feedback control of stochastic McShane differential systems

1974 ◽  
Vol 11 (02) ◽  
pp. 302-309
Author(s):  
N. U. Ahmed ◽  
K. L. Teo
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Necessary Conditions ◽  
Parabolic Type ◽  
Optimal Feedback Control ◽  
Distributed Parameter ◽  
Optimal Controls ◽  
Necessary Conditions For Optimality ◽  
Reduced Problem

In this paper, the optimal control problem of system described by stochastic McShane differential equations is considered. It is shown that this problem can be reduced to an equivalent optimal control problem of distributed parameter systems of parabolic type with controls appearing in the coefficients of the differential operator. Further, to this reduced problem, necessary conditions for optimality and an existence theorem for optimal controls are given.

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