scholarly journals Approximate maximum principle for discrete approximations of optimal control systems with nonsmooth objectives and endpoint constraints

2013 ◽  
Vol 19 (3) ◽  
pp. 811-827 ◽  
Author(s):  
Boris S. Mordukhovich ◽  
Ilya Shvartsman
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Control Systems ◽  
Discrete Approximations ◽  
Endpoint Constraints

scholarly journals Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators

2020 ◽  
Vol 25 (5) ◽  
Author(s):  
Rafał Kamocki
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimality Conditions ◽  
Control Systems ◽  
Optimal Control Problems ◽  
Necessary Optimality Conditions ◽  
Nonlinear Control Systems ◽  
Control Problems ◽  
Smooth Convex ◽  
Laplace Operators

In this paper, optimal control problems containing ordinary nonlinear control systems described by fractional Dirichlet and Dirichlet–Neumann Laplace operators and a nonlinear integral performance index are studied. Using smooth-convex maximum principle, the necessary optimality conditions for such problems are derived.

Dynamics Response Control of a Mindlin-Type Beam

2017 ◽  
Vol 17 (03) ◽  
pp. 1750039 ◽  
Author(s):  
Kenan Yildirim ◽  
Seda G. Korpeoglu ◽  
Ismail Kucuk
Keyword(s):  
Optimal Control ◽  
Partial Differential Equations ◽  
Maximum Principle ◽  
Control Problem ◽  
Control Function ◽  
Initial Boundary ◽  
Response Control ◽  
Adjoint Variables ◽  
Dynamics Response ◽  
Optimal Control Function

Optimal boundary control for damping the vibrations in a Mindlin-type beam is considered. Wellposedness and controllability of the system are investigated. A maximum principle is introduced and optimal control function is obtained by means of maximum principle. Also, by using maximum principle, control problem is reduced to solving a system of partial differential equations including state, adjoint variables, which are subject to initial, boundary and terminal conditions. The solution of the system is obtained by using MATLAB. Numerical results are presented in table and graphical forms.

Optimal Control of a General Environmental Space

1986 ◽  
Vol 108 (4) ◽  
pp. 330-339 ◽  
Author(s):  
M. A. Townsend ◽  
D. B. Cherchas ◽  
A. Abdelmessih
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Moisture Content ◽  
Control Strategies ◽  
Switching Control ◽  
The Maximum Principle ◽  
Environmental Space ◽  
And Performance

This study considers the optimal control of dry bulb temperature and moisture content in a single zone, to be accomplished in such a way as to be implementable in any zone of a multi-zone system. Optimality is determined in terms of appropriate cost and performance functions and subject to practical limits using the maximum principle. Several candidate optimal control strategies are investigated. It is shown that a bang-bang switching control which is theoretically periodic is a least cost practical control. In addition, specific attributes of this class of problem are explored.

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