The linear optimal control problem with variable endpoints.
Janković, Vladimir (1989)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Janković, Vladimir (1989)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Janković, Vladimir (1990)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Nadir Arada (2001)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an -space (). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.
Alain Rapaport, Pierre Cartigny (2004)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Turnpike theorems deal with the optimality of trajectories reaching a singular solution, in calculus of variations or optimal control problems. For scalar calculus of variations problems in infinite horizon, linear with respect to the derivative, we use the theory of viscosity solutions of Hamilton-Jacobi equations to obtain a unique characterization of the value function. With this approach, we extend for the scalar case the classical result based on Green theorem, when there is uniqueness...
Janković, Vladimir (1989)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
M. Bergounioux, F. Tröltzsch (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Kazufumi Ito, Karl Kunisch (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
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.
Joël Blot, Naïla Hayek (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Park, Jong Yeoul, Kang, Yong Han (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
B. Bonnard, G. Launay (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity: