Mathematical Control and Related Fields: latest papers
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Latest articles for selected journalhttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13413
Optimal size of business and dividend strategy in a nonlinear model with refinancing and liquidation value
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Gongpin Cheng and Lin XuWed, 1 Mar 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13414
Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory
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1$ with compact support by a clever use of the Bray-Mandelbrojt iterative process. We then apply these results to the moment method, which will enable us to derive some upper bounds for the cost of fast boundary controls for a class of linear equations of parabolic or dispersive type that partially improve the existing results proved in [P. Lissy, On the Cost of Fast Controls for Some Families of Dispersive or Parabolic Equations in One Space
Dimension SIAM J. Control Optim., 52(4), 2651-2676]. However this construction fails to improve the results of [G. Tenenbaum and M. Tucsnak, New blow-up rates of fast controls for the Schrödinger and heat equations,
Journal of Differential Equations, 243 (2007), 70-100] in the precise case of the usual heat and Schrödinger equation.
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Pierre LissyWed, 1 Mar 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13415
A discrete hierarchy of double bracket equations and a class of negative power series
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1 \right\}$ can also be parametrized by means of a system of double bracket differential equations. To show this parametrization we introduce a group factorization for equation system. This work, for the case of a double bracket system, is a continuation of an earlier study discussed in The discrete KP hierarchy and the negative power series on the complex plane. Comp. and App. Math., 32 (2013), 483--493 for the case of one bracket system.
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Nancy López Reyes and Luis E. Benítez BabiloniaWed, 1 Mar 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13416
Control and stabilization of $2\times 2$ hyperbolic systems on graphs
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Serge NicaiseWed, 1 Mar 2017 08:00:00 GMThttp://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13417
Decompositions and bang-bang properties
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0$ is a bound of controls and $y_0$ is the initial state (or $T>0$ is an ending time and $y_0$ is the initial state). The controlled system may have neither the $L^\infty$-null controllability nor the backward uniqueness property.
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Gengsheng Wang and Yubiao ZhangWed, 1 Mar 2017 08:00:00 GMT