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Discrete feedback stabilization of semilinear control systems

Lars Grnüe — 2010

ESAIM: Control, Optimisation and Calculus of Variations

For continuous time semilinear control systems with constrained control values stabilizing discrete feedback controls are discussed. It is shown that under an accessibility condition exponential discrete feedback stabilizability is equivalent to open loop exponential asymptotic null controllability. A numerical algorithm for the computation of discrete feedback controls is presented and a numerical example is discussed.

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