scholarly journals Dynamic control problem under interference with a given set of correction momenta

2018 ◽  
Vol 28 (1) ◽  
pp. 74-81
Author(s):  
V.I. Ukhobotov ◽  
◽  
I.S. Stabulit ◽  
Keyword(s):  
Control Problem ◽  
Dynamic Control

The Mathematics of Coordinated Control of Prosthetic Arms and Manipulators

1972 ◽  
Vol 94 (4) ◽  
pp. 303-309 ◽  
Author(s):  
D. E. Whitney
Keyword(s):  
Control Problem ◽  
Rate Control ◽  
Position Control ◽  
Dynamic Control ◽  
Mathematical Formulation ◽  
Coordinated Control ◽  
Computer Assisted ◽  
Final Position ◽  
Coordinate Systems ◽  
Joint Angles

The problems of coordinated rate control and position control of multidegree-of-freedom arms are treated together in this paper. A mathematical formulation is presented which allows real time computer-assisted rate control under a variety of external coordinate systems. A new solution to the endpoint position control problem is given, allowing the arm to be driven to a final position specified in meaningful external coordinates without the corresponding final joint angles being known. Attention is given to redundant arms, to the possibility of singularities, and to the relation between this work and dynamic control of arms.

Dynamic Scheduling of a Four-Station Queueing Network

1990 ◽  
Vol 4 (1) ◽  
pp. 131-156 ◽  
Author(s):  
C. N. Laws ◽  
G. M. Louth
Keyword(s):  
Control Problem ◽  
Dynamic Scheduling ◽  
Dynamic Control ◽  
Queueing Network ◽  
Single Server ◽  
Scheduling Policies ◽  
Resource Pooling ◽  
Static Scheduling ◽  
Open Queueing Network ◽  
Dynamic Policy

This paper is concerned with the problem of optimally scheduling a multiclass open queueing network with four single-server stations in which dynamic control policies are permitted. Under the assumption that the system is heavily loaded, the original scheduling problem can be approximated by a dynamic control problem involving Brownian motion. We reformulate and solve this problem and, from the interpretation of the solution, we obtain two dynamic scheduling policies for our queueing network. We compare the performance of these policies with two static scheduling policies and a lower bound via simulation. Our results suggest that under either dynamic policy the system, at least when heavily loaded, exhibits the form of resource pooling given by the solution to the approximating control problem. Furthermore, even when lightly loaded the system performs better under the dynamic policies than under either static policy.

Labor Assignment as a Dynamic Control Problem

1966 ◽  
Vol 14 (3) ◽  
pp. 369-376 ◽  
Author(s):  
Rosser T. Nelson
Keyword(s):  
Control Problem ◽  
Dynamic Control

Addressing state space multicollinearity in solving an ozone pollution dynamic control problem

2021 ◽  
Vol 289 (2) ◽  
pp. 683-695
Author(s):  
Bancha Ariyajunya ◽  
Ying Chen ◽  
Victoria C.P. Chen ◽  
Seoung Bum Kim ◽  
Jay Rosenberger
Keyword(s):  
Control Problem ◽  
State Space ◽  
Dynamic Control ◽  
Ozone Pollution

scholarly journals Infinity Period Dynamic Control of a Kind of Channel’s Price and Brand Investment: A Differential Game Method

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Kaihong Wang ◽  
Li Cheng ◽  
Chuan Ding
Keyword(s):  
Control Problem ◽  
Differential Game ◽  
Dynamic Optimization ◽  
Stackelberg Game ◽  
Dynamic Control ◽  
Distribution Channel ◽  
Optimization Theory ◽  
Retail Price ◽  
Hamilton Function ◽  
Static Game

The infinity period dynamic control problem of distribution channel was studied with differential game approach. Four differential dynamic control models of coordinated channel game, uncoordinated static game, Stackelberg game with manufacture controlled, and Stackelberg game withnretailers controlled were constructed. Some results applied dynamic optimization theory made with Hamilton function. The conclusions are as follows. (1) Optimization brand investment controlled by manufacture has nothing to do with time. (2) Retail price was the most minimum when channel was integrated. (3) Manufacture’s profits of uncoordinated static game and Stackelberg game with manufacture controlled were more than Stackelberg game withnretailers controlled. (4) Retailer’s profits of Stackelberg game withnretailers controlled were less than Stackelberg game with manufacture controlled. (5) Channel’s total profits of Stackelberg game withnretailers controlled were the most minimum.

Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem

2020 ◽  
Vol 26 ◽  
pp. 78
Author(s):  
Thirupathi Gudi ◽  
Ramesh Ch. Sau
Keyword(s):  
Finite Element ◽  
Control Problem ◽  
Dirichlet Boundary ◽  
A Priori ◽  
Diffusion Problem ◽  
Discrete Control ◽  
Optimal Order ◽  
Control Constraints ◽  
Element Analysis ◽  
Dirichlet Boundary Control

We study an energy space-based approach for the Dirichlet boundary optimal control problem governed by the Laplace equation with control constraints. The optimality system results in a simplified Signorini type problem for control which is coupled with boundary value problems for state and costate variables. We propose a finite element based numerical method using the linear Lagrange finite element spaces with discrete control constraints at the Lagrange nodes. The analysis is presented in a combination for both the gradient and the L2 cost functional. A priori error estimates of optimal order in the energy norm is derived up to the regularity of the solution for both the cases. Theoretical results are illustrated by some numerical experiments.

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