Karima Ztot, El Hassan Zerrik, Hamid Bourray (2011)
International Journal of Applied Mathematics and Computer Science
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This paper investigates the regional control problem for infinite dimensional bilinear systems. We develop an approach that characterizes the optimal control and leads to a numerical algorithm. The obtained results are successfully illustrated by simulations.
Jean-Baptiste Caillau, Joseph Noailles (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.
Fritz Colonius, Roberta Fabbri (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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For systems with slowly varying parameters the controllability behavior is studied and the relation to the control sets for the systems with frozen parameters is clarified.
Adam Czornik, Andrzej Świernik (2005)
International Journal of Applied Mathematics and Computer Science
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In this paper the adaptive control problem for a continuous infinite time-varying stochastic control system with jumps in parameters and quadratic cost is investigated. It is assumed that the unknown coefficients of the system have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Under these assumptions it is shown that the optimal value of the quadratic cost can be reached based only on the values of these limits, which, in turn, can...
Weijiu Liu (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose...
Shuping Tan, Ji-Feng Zhang (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is concerned with the sampled-data based adaptive linear quadratic (LQ) control of hybrid systems with both unmeasurable Markov jump processes and stochastic noises. By the least matching error estimation algorithm, parameter estimates are presented. By a double-step (DS) sampling approach and the certainty equivalence principle, a sampled-data based adaptive LQ control is designed. The DS-approach is characterized by a comparatively large estimation step for parameter estimation...
Vladimir Gurman (2009)
Control and Cybernetics
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Kazufumi Ito, Karl Kunisch (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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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.