Observability and controllability for a vibrating string with dynamical boundary control.
Wehbe, Ali (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Theoretical analysis and control results for the Fitzhugh-Nagumo equation.”
Observability and controllability for a vibrating string with dynamical boundary control.
Controllability of 1-D coupled degenerate parabolic equations.
Cannarsa, Piermarco, de Teresa, Luz (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Exact boundary controllability for higher order nonlinear Schrödinger equations with constant coefficients.
Ceballos V., Juan Carlos, Pavez F., Ricardo, Villagrán, Octavio Paulo Vera (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Optimal boundary control for a time dependent thermistor problem.
Hrynkiv, Volodymyr (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Internal exact controllability of the linear population dynamics with diffusion.
Ainseba, Bedr'Eddine, Anita, Sebastian (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Controllability of nonlinear PDE’s: Agrachev–Sarychev approach
Armen Shirikyan (2007)
Journées Équations aux dérivées partielles
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This short note is devoted to a discussion of a general approach to controllability of PDE’s introduced by Agrachev and Sarychev in 2005. We use the example of a 1D Burgers equation to illustrate the main ideas. It is proved that the problem in question is controllable in an appropriate sense by a two-dimensional external force. This result is not new and was proved earlier in the papers [, ] in a more complicated situation of 2D Navier–Stokes equations.
An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions.
Bejenaru, Ioan, Diaz, Jesus Ildefonso, Vrabie, Ioan I. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Uniform stabilization and exact controllability for hyperbolic systems with discontinuous coefficients.
Gomez, Felix P.Quispe, Kapitonov, Boris V. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Controllability of Urysohn integral inclusions of Volterra type.
Angell, Thomas S., George, Raju K., Sharma, Jaita Pankaj (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Forward invariant sets, homogeneity and small-time local controllability
Mikhail Krastanov (1995)
Banach Center Publications
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The property of forward invariance of a subset of with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.
Exact controllability of generalized Hammerstein type integral equation and applications.
Chalishajar, Dimplekumar N., George, Raju K. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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High-Order Control Variations and Small-Time Local Controllability
Krastanov, Mikhail (2010)
Serdica Journal of Computing
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The importance of “control variations” for obtaining local approximations of the reachable set of nonlinear control systems is well known. Heuristically, if one can construct control variations in all possible directions, then the considered control system is small-time locally controllable (STLC). Two concepts of control variations of higher order are introduced for the case of smooth control systems. The relation between these variations and the small-time local controllability is...