High-order variations and small-time local attainability

Mikhail Krastanov

Displaying similar documents to “High-order variations and small-time local attainability”

Optimal control of nonlinear delay systems with implicit derivative and quadratic performance

Krishnan Balachandran, N. Rajagopal (1999)

Kybernetika

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The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.

Approximate controllability for a system of Schrödinger equations modeling a single trapped ion

Sylvain Ervedoza, Jean-Pierre Puel (2009)

Annales de l'I.H.P. Analyse non linéaire

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Robust control of discrete-time hybrid systems with uncertain modal dynamics.

Runolfsson, Thordur (2004)

Mathematical Problems in Engineering

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Exact controllability of the wave equation with mixed boundary condition and time-dependent coefficients

M. M. Cavalcanti (1999)

Archivum Mathematicum

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In this paper we study the boundary exact controllability for the equation $\frac{\partial}{\partial t} (α (t) \frac{\partial y}{\partial t}) - \sum_{j = 1}^{n} \frac{\partial}{\partial x_{j}} (β (t) a (x) \frac{\partial y}{\partial x_{j}}) = 0 in Ω \times (0, T),$ when the control action is of Dirichlet-Neumann form and $Ω$ is a bounded domain in $R^{n}$ . The result is obtained by applying the HUM (Hilbert Uniqueness Method) due to J. L. Lions.