Discrete Feedback Stabilization of Semilinear Control Systems

L. Grüne: Discrete Feedback Stabilization of Semilinear Control Systems
ESAIM: Control, Optimisation and Calculus of Variations 1, 207 - 224, 1996

DOI: 10.1051/cocv:1996106
Keywords: stabilization; exponential stabilizability; discounted optimal control; piecewise constant control
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Abstract:

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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