scholarly journals Regional averaged control problems with minimum energy constrained by distributed parabolic systems

2021 ◽  
Vol 26 (04) ◽  
pp. 349-356
Author(s):  
M. Ould Sidi ◽  
R. Zine ◽  
A. A. Mohamed
Keyword(s):  
Minimum Energy ◽  
Parabolic Systems ◽  
Control Problems ◽  
Energy Constrained

scholarly journals On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question

2014 ◽  
Vol 24 (4) ◽  
pp. 723-733
Author(s):  
K.Maciej Przyłuski
Keyword(s):  
Minimum Energy ◽  
Sufficient Conditions ◽  
Control Problems ◽  
Linear Quadratic Control ◽  
Linear Quadratic ◽  
Minimum Norm Solution ◽  
Quadratic Problem ◽  
Infinite Dimensional ◽  
Necessary And Sufficient ◽  
Quadratic Control Problems

Abstract In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.

A QoS aware Framework to support Minimum Energy Data Aggregation and Routing in Wireless Sensor Networks

2009 ◽  
Vol 1 (4) ◽  
pp. 91-106 ◽  
Author(s):  
Neeraj Kumar ◽  
R.B. Patel
Keyword(s):  
Energy Consumption ◽  
Data Aggregation ◽  
Control Mechanism ◽  
Minimum Energy ◽  
Base Station ◽  
Sensor Nodes ◽  
Wireless Sensor ◽  
Combine Data ◽  
Energy Data ◽  
Energy Constrained

In a wireless sensor network (WSN), the sensor nodes obtain data and communicate its data to a centralized node called base station (BS) using intermediate gateway nodes (GN). Because sensors are battery powered, they are highly energy constrained. Data aggregation can be used to combine data of several sensors into a single message, thus reducing sensor communication costs and energy consumption. In this article, the authors propose a QoS aware framework to support minimum energy data aggregation and routing in WSNs. To minimize the energy consumption, a new metric is defined for the evaluation of the path constructed from source to destination. The proposed QoS framework supports the dual goal of load balancing and serving as an admission control mechanism for incoming traffic at a particular sensor node. The results show that the proposed framework supports data aggregation with less energy consumption than earlier strategies.

OPTIMALITY CONDITIONS FOR COOPERATIVE PARABOLIC SYSTEMS GOVERNED BY SCHRÖDINGER OPERATORS WITH CONTROL CONSTRAINTS

2008 ◽  
Vol 01 (02) ◽  
pp. 131-146 ◽  
Author(s):  
G. M. Bahaa
Keyword(s):  
Control Problem ◽  
Optimality Conditions ◽  
Distributed Control ◽  
Performance Index ◽  
Integral Form ◽  
Parabolic Systems ◽  
Control Problems ◽  
Control Constraints ◽  
Distributed Control Problem ◽  
The Neumann Problem

A distributed control problem for cooperative parabolic systems governed by Schrödinger operator is considered. The performance index is more general than the quadratic one and has an integral form. Constraints on controls are imposed. Making use of the Dubovitskii-Milyutin Theorem given by Walczak (1984, On some control problems Acta Univ. Lod. Folia Math., 1, 187-196), the optimality conditions are derived for the Neumann problem. Finally, several mathematical examples for derived optimality conditions are presented.

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