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Quadratic optimal control of bilinear systems

R. El Ayadi , M. Ouzahra


In this work, we consider a stabilization problem of a class of distributed bilinear systems defined on a Hilbert state space. Then we give an explicit stabilizing control that minimizes an appropriate quadratic cost. The approach is based on Lyapunov function techniques and on a spectral decomposed method. Applications and simulations for parabolic and hyperbolic systems are developed.


distributed bilinear systems, feedback stabilization, optimal control

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