FEEDBACK STABILIZATION OF A BOUNDARY LAYER EQUATION, PART 1: HOMOGENEOUS STATE EQUATIONS

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The observation is the laminar-to-turbulent transition location linearized about its stationary position, the control is a suction velocity through a small slot in the plate, the

In the presence of time delay, we used in [13] the same idea for Euler-Bernoulli beam equation: The state is estimated by the observer in the time span where the observation

Feedback control law, Crocco equation, degenerate parabolic equations, Riccati equation, boundary layer equations, unbounded control operator.. ∗ The two authors are supported by

This leads to satisfactory results in the blue case, even though the stability certificate is weaker in the sense that the non-linear closed loop trajectory x cl (t) is only

After applying the Artstein transform to deal with the delay phenomenon, we design a feedback law based on the pole-shifting theorem to exponential stabilize the

Then we show that the optimal control problem has also a unique solution that we characterize by means of first order Euler-Lagrange optimality condition and adjoint state which

Optimal control of averaged state of a parabolic equation with missing boundary condition.. Gisèle Mophou, Romario Gildas Foko Tiomela,