Exact controllability for the semilinear string equation in non cylindrical domains
F. Araruna, G. Antunes, L. Medeiros (2004)
Control and Cybernetics
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F. Araruna, G. Antunes, L. Medeiros (2004)
Control and Cybernetics
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Atmania, Rahima, Mazouzi, Said (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Chalishajar, Dimplekumar N., George, Raju K. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cannarsa, Piermarco, Fragnelli, Genni (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wehbe, Ali (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A. Y. Khapalov (1999)
Revista Matemática Complutense
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We discuss several global approximate controllability properties for the semilinear heat equation with superlinear reaction-convection term, governed in a bounded domain by locally distributed controls. First, based on the asymptotic analysis in vanishing time, we study the steering of the projections of its solution on any finite dimensional space spanned by the eigenfunctions for the truncated linear part. We show that, if the control-supporting area is properly chosen, then they...
Weijiu Liu, Graham Williams (1998)
Colloquium Mathematicae
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Using HUM, we study the problem of exact controllability with Neumann boundary conditions for second order hyperbolic equations. We prove that these systems are exactly controllable for all initial states in and we derive estimates for the control time T.
Brice Allibert, Sorin Micu (1999)
Revista Matemática Iberoamericana
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We consider the controllability and observation problem for a simple model describing the interaction between a fluid and a beam. For this model, microlocal propagation of singularities proves that the space of controlled functions is smaller that the energy space. We use spectral properties and an explicit construction of biorthogonal sequences to show that analytic functions can be controlled within finite time. We also give an estimate for this time, related to the amount of analyticity...
Ntouyas, Sotiris K., O'Regan, Donal (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Angell, Thomas S., George, Raju K., Sharma, Jaita Pankaj (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sun, Bo (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jerzy Klamka (2007)
International Journal of Applied Mathematics and Computer Science
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A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability...