scholarly journals On optimal boundary and distributed control of partial integro–differential equations

2014 ◽  
Vol 24 (1) ◽  
pp. 5-25 ◽  
Author(s):  
Asatur Zh. Khurshudyan
Keyword(s):  
Differential Equations ◽  
Control Problem ◽  
Integral Transform ◽  
Control Function ◽  
Sufficient Conditions ◽  
Control Process ◽  
Problem Solution ◽  
Control Functions ◽  
Minimization Procedure ◽  
And Control

Abstract A method of optimal control problems investigation for linear partial integro-differential equations of convolution type is proposed, when control process is carried out by boundary functions and right hand side of equation. Using Fourier real generalized integral transform control problem solution is reduced to minimization procedure of chosen optimality criterion under constraints of equality type on desired control function. Optimality of control impacts is obtained for two criteria, evaluating their linear momentum and total energy. Necessary and sufficient conditions of control problem solvability are obtained for both criteria. Numerical calculations are done and control functions are plotted for both cases of control process realization.

scholarly journals On Some Pursuit and Evasion Differential Game Problems for an Infinite Number of First-Order Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Abbas Badakaya Ja'afaru ◽  
Gafurjan Ibragimov
Keyword(s):  
Differential Equations ◽  
Differential Game ◽  
Infinite Number ◽  
Control Function ◽  
Sufficient Conditions ◽  
First Order ◽  
Control Functions ◽  
Pursuit And Evasion ◽  
And Control ◽  
First Order Differential Equations

We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert spacel2. Problems involving integral, geometric, and mix constraints to the control functions of the players are considered. In each case, we give sufficient conditions for completion of pursuit and for which evasion is possible. Consequently, strategy of the pursuer and control function of the evader are constructed in an explicit form for every problem considered.

Optimal Control for Partially Observed Nonlinear Interval Systems

2019 ◽  
Vol 141 (9) ◽  
Author(s):  
T. E. Dabbous
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Control Problem ◽  
Linear Time ◽  
Control Process ◽  
Extension Principle ◽  
Time Varying ◽  
State Observation ◽  
Partially Observed ◽  
And Control

In this paper, we consider the optimal control problem for a class of systems governed by nonlinear time-varying partially observed interval differential equations. The control process is assumed to be governed by linear time varying interval differential equation driven by the observed process. Using the fact that the state, observation, and control processes possess lower and upper bounds, we have developed sets of (ordinary) differential equations that describe the behavior of the bounds of these processes. Using these differential equations, the interval control problem can be transformed into an equivalent ordinary control problem in which interval mathematics and extension principle of Moore are not required. Using variational arguments, we have developed the necessary conditions of optimality for the equivalent (ordinary) control problem. Finally, we present some numerical simulations to illustrate the effectiveness of the proposed control scheme.

ROUTING IMPLEMENTATION BASED-ON SOFTWARE DEFINED NETWORK USING RYU CONTROLLER AND OPENVSWITCH

2016 ◽  
Vol 78 (5) ◽  
Author(s):  
Yuli Sun Hariyani ◽  
Indrarini Dyah Irawati ◽  
Danu Dwi S. ◽  
Mohammad Nuruzzamanirridha
Keyword(s):  
Control Function ◽  
Raspberry Pi ◽  
Small Scale ◽  
Software Defined Network ◽  
Standard Protocol ◽  
Open Flow ◽  
Control Functions ◽  
Forward Function ◽  
And Control ◽  
Sdn Controller

Open Flow is a standard protocol for differentiating forward function and control functions to facilitate the management of big network of SDN. The research have been carried out before using the emulator SDN Mininet. However Mininet has many shortcomings, such as the performance of which is less than the maximum due to simulation. Then some researchers also use the Net-FPGA as device. This device is less suitable for small scale because the prices are quite expensive and programming is quite complicated. In this study, SDN implementation carried out using OpenvSwitch as forwarding function mounted on TP-Link that has modificated using openwrt as firmware and Raspberry Pi with Ryu SDN Controller as control functions. The result shows that routing static can be implemented on SDN Network which use Raspberry Pi with Ryu Controller as control function with average bandwith 536.0909 Mbits/sec and average uptime network is 10.45 second.

scholarly journals Delayed Stochastic Linear-Quadratic Control Problem and Related Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Li Chen ◽  
Zhen Wu ◽  
Zhiyong Yu
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Stochastic Differential Equations ◽  
Backward Stochastic Differential Equations ◽  
Delay System ◽  
Linear Quadratic ◽  
Stochastic Linear System ◽  
And Control

We discuss a quadratic criterion optimal control problem for stochastic linear system with delay in both state and control variables. This problem will lead to a kind of generalized forward-backward stochastic differential equations (FBSDEs) with Itô’s stochastic delay equations as forward equations and anticipated backward stochastic differential equations as backward equations. Especially, we present the optimal feedback regulator for the time delay system via a new type of Riccati equations and also apply to a population optimal control problem.

A Hierarchical Coordinated Control Method for Low Voltage Micro-Grid in Intelligent Community

2012 ◽  
Vol 263-266 ◽  
pp. 545-552
Author(s):  
Yi Rong Su ◽  
Shuang Hu Wang ◽  
Bing Wen Wang ◽  
Hai Long Bao
Keyword(s):  
Control Method ◽  
Low Voltage ◽  
Control Function ◽  
System Control ◽  
Level Control ◽  
Control Functions ◽  
Operation Control ◽  
Micro Grid ◽  
Intelligent Community ◽  
And Control

The operation control of the micro-grid system is the foundation to protect micro-grid equipment, to realize associate control and optimize economic operation. Looking on Chenjiazhen micro-grid in Shanghai as model, the paper set three hierarchical controls: protection control, micro-grid coordinated controller control which can achieve millisecond time precision and intelligent community energy management system control. Different level control function has been divided. Control functions in all levels complement each other and collaborate together to achieve the coordination and control of micro-grid running.

scholarly journals Oscillation in Pest Population and Its Management: A Mathematical Study

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Samit Bhattacharyya ◽  
Suma Ghosh
Keyword(s):  
Pest Control ◽  
Control Function ◽  
Control Process ◽  
Control Model ◽  
Pest Population ◽  
Optimal Analysis ◽  
Insect Ecology ◽  
And Control ◽  
Special Case

We study the role of predation dynamics in oscillation of pest population in insect ecology. A two-dimensional pest control model (under the use of insecticides) with time delay in predation is considered in this paper. By the Hopf bifurcation theory, we prove the existence of the stable oscillation of the system. We also consider the economic viability of the control process. First we improve the Pontryagin maximum principle (PMP) where the delay in the system is sufficiently small and control function is linear, and then we apply the improved version of PMP to perform the optimal analysis of the pest control model as a special case.

scholarly journals Optimal Control of Pseudoparabolic Variational Inequalities Involving State Constraint

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Youjun Xu ◽  
Shu Zhou
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problem ◽  
Variational Inequalities ◽  
Control Problem ◽  
Control Process ◽  
State Constraint ◽  
Necessary Condition ◽  
Necessary Condition Of Optimality

We establish the necessary condition of optimality for optimal control problem governed by some pseudoparabolic differential equations involving monotone graphs. Some approximating control process and examples are given.

An Optimal Treatment Strategy for Diabetes

2003 ◽  
Vol 11 (04) ◽  
pp. 419-425 ◽  
Author(s):  
Farai Nyabadza ◽  
Edward M. Lungu
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
Control Problem ◽  
Stochastic Differential Equations ◽  
Stochastic Control ◽  
Treatment Strategy ◽  
Sufficient Conditions ◽  
Optimal Treatment ◽  
The Body ◽  
Optimal Treatment Strategy

Consider a system on n variables involved in the regulation of glucose in the body, whose concentrations are given by stochastic differential equations driven by m-dimensional Brownian motion. We formulate a stochastic control problem and give sufficient conditions for the existence of an optimal treatment strategy. We study the following problem: what treatment strategy for the n variables, maximizes the expected benefit from treatment.

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