Mathematical Control and Related Fields: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=23 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13971 The cost of controlling weakly degenerate parabolic equations by boundary controls http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13971     We study the reachable targets at some given time $T$ using $H^1$ controls, studying the influence of the degeneracy parameter $\alpha \in [0,1)$. First we obtain precise upper and lower bounds for the null controllability cost, proving that the cost blows up rationnally as $\alpha \to 1^-$ and exponentially fast when $T\to 0^+$.
    Next, thanks to the special structure of the eigenfunctions of the problem, we investigate and obtain (partial) results concerning the structure of the reachable states.
    Our approach is based on the moment method developed by Fattorini and Russell [19,20]. To achieve our goals, we extend some of their general results concerning biorthogonal families, using complex analysis techniques developped by Seidman [48], Guichal [26], Tenenbaum-Tucsnak [49] and Lissy [35,36]. ]]>
Piermarco Cannarsa, Patrick Martinez and Judith Vancostenoble Thu, 1 Jun 2017 08:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13972 Regularity results for a time-optimal control problem in the space of probability measures http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13972 Giulia Cavagnari Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13973 Optimal control of a multi-level dynamic model for biofuel production http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13973 Roberta Ghezzi and Benedetto Piccoli Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13974 Minimal time synthesis for a kinematic drone model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13974 Marc-Aurèle Lagache, Ulysse Serres and Vincent Andrieu Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13975 Nash equilibrium points of recursive nonzero-sum stochastic differential games with unbounded coefficients and related multiple dimensional BSDEs http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13975 Rui Mu and Zhen Wu Thu, 1 Jun 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13976 Exact controllability of linear stochastic differential equations and related problems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13976 Yanqing Wang, Donghui Yang, Jiongmin Yong and Zhiyong Yu Thu, 1 Jun 2017 08:00:00 GMT