<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A CLASS OF NONSTANDARD PARTIALLY OBSERVED STOCHASTIC SYSTEMS ON A HILBERT SPACE AND THEIR OPTIMAL STRUCTURAL FEEDBACK CONTROL</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">ATTAINABLE SET OF MEASURES AND STRUCTURAL FEEDBACK CONTROL</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">46A50</style></keyword><keyword><style  face="normal" font="default" size="100%">46B50</style></keyword><keyword><style  face="normal" font="default" size="100%">46E27</style></keyword><keyword><style  face="normal" font="default" size="100%">46E99</style></keyword><keyword><style  face="normal" font="default" size="100%">47A55</style></keyword><keyword><style  face="normal" font="default" size="100%">49J27</style></keyword><keyword><style  face="normal" font="default" size="100%">93E03.</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2010</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2010</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/14/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">14</style></volume><pages><style face="normal" font="default" size="100%">240</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper we consider the question of weak compactness of the set of attainable measures on a Hilbert space induced by a class of partially observed nonstandard stochastic systems. The system is perturbed not only by Brownian motion but also by an arbitrary second order random process taking values from a Hilbert space. Structural controls used are measures with values from the space of bounded linear operators, &lt;img alt=&quot;&quot; src=&quot;data:image/png;base64,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&quot; /&gt;(Y, X) where X, Y are the state and output spaces, respectively. We consider several control problems and prove existence of optimal policies.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">225</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author><author><style face="normal" font="default" size="100%">S. KERBAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">STOCHASTIC DYNAMIC MODEL FOR POROUS MEDIA EQUATION DESCRIBING UNDERGROUND RESOURCES</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">STOCHASTIC DYNAMICS FOR AQUIFERS</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A36</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">49J24</style></keyword><keyword><style  face="normal" font="default" size="100%">93C10</style></keyword><keyword><style  face="normal" font="default" size="100%">93E20</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">04/2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/13/2/8.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">286</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;We consider a stochastic model for porous media flow. This is a degenerate nonlinear stochastic parabolic partial differential equation which may change type from parabolic to elliptic and vice versa. We present existence and regularity of weak solutions. We formulate certain control problems for aquifers (under ground water reservoirs) and discuss some open problems.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">271</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author><author><style face="normal" font="default" size="100%">F. REZAEI</style></author><author><style face="normal" font="default" size="100%">S. LOYKA</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">CONTROL THEORETIC FORMULATION OF CAPACITY OF DYNAMIC ELECTRO MAGNETIC CHANNELS</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34H05</style></keyword><keyword><style  face="normal" font="default" size="100%">35Q60</style></keyword><keyword><style  face="normal" font="default" size="100%">49K20</style></keyword><keyword><style  face="normal" font="default" size="100%">93Exx</style></keyword><keyword><style  face="normal" font="default" size="100%">94A40</style></keyword><keyword><style  face="normal" font="default" size="100%">99Z00</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/12/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper nonhomogeneous deterministic and stochastic Maxwell equations are used to rigorously formulate the capacity of electromagnetic channels such as wave guides (cavities, coaxial cables etc). Both distributed, but localized, and Dirichlet boundary data are considered as the potential input sources. We prove the existence of a source measure, satisfying certain second order constraints (equivalent to power constraints), at which the channel capacity is attained. Further, necessary and sufficient conditions for optimality are presented.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><section><style face="normal" font="default" size="100%">297</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">N. U. AHMED</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">DYNAMICS OF FLOW IN POROUS MEDIA AND ITS CONTROL APPLIED TO OPTIMAL MANAGEMENT OF UNDERGROUND RESOURCES</style></title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A36</style></keyword><keyword><style  face="normal" font="default" size="100%">34A60</style></keyword><keyword><style  face="normal" font="default" size="100%">49J24</style></keyword><keyword><style  face="normal" font="default" size="100%">93C10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2008</style></date></pub-dates></dates><volume><style face="normal" font="default" size="100%">12</style></volume><pages><style face="normal" font="default" size="100%">13</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;We consider the control of a porous media equation described by a class of degenerate nonlinear partial differential equations. We formulate control problems for aquifers (under ground water reservoirs) and present necessary conditions of optimality. The necessary conditions involve simultaneous optimization of location of wells in aquifers and ground water extraction rate from each of the wells. The method presented also applies to optimal extraction of other underground resources.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">221</style></section></record></records></xml>