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minimum value function

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Receding horizon optimal controlfor infinite dimensional systems
Kazufumi Ito, Karl Kunisch
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 8 / 2002

Published online by Cambridge University Press:

15 August 2002, pp. 741-760

Print publication:

2002
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The receding horizon control strategy fordynamical systems posed in infinite dimensional spaces is analysed. Itsstabilising property is verified provided controlLyapunov functionals are used as terminal penalty functions.For closed loop dissipative systems the terminal penalty canbe chosen as quadratic functional. Applications to the Navier–Stokesequations, semilinear wave equations and reaction diffusion systems are given.