Receding horizon optimal control for infinite dimensional systems
ESAIM: Control, Optimisation and Calculus of Variations, Volume 8 (2002), p. 741-760

The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier-Stokes equations, semilinear wave equations and reaction diffusion systems are given.

Classification:  49L15,  49N35,  93C20,  93Dx
Keywords: receding horizon control, control Lyapunov function, Lyapunov equations, closed loop dissipative, minimum value function, Navier-Stokes equations
     author = {Ito, Kazufumi and Kunisch, Karl},
     title = {Receding horizon optimal control for infinite dimensional systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     publisher = {EDP-Sciences},
     volume = {8},
     year = {2002},
     pages = {741-760},
     doi = {10.1051/cocv:2002032},
     zbl = {1066.49020},
     mrnumber = {1932971},
     language = {en},
     url = {}
Ito, Kazufumi; Kunisch, Karl. Receding horizon optimal control for infinite dimensional systems. ESAIM: Control, Optimisation and Calculus of Variations, Volume 8 (2002) pp. 741-760. doi : 10.1051/cocv:2002032.

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