Quelques rémarques sur le feedback stationnaire et la stabilté asymptotique |
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| Authors: | A Negro |
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| Institution: | (1) Faculté de Sciences d’Orsay, Université de Paris-Sud, France;(2) Istituto di Analisi Matematica, Università di Torino, Italie |
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| Abstract: | Summary We consider dynamical systems described by asymptotically stable equations of evolution and we apply to them feedback laws,
optimal in stationary conditions with respect to a usual quadratic functional. Then we study the asymptotic stability of the
modified equations of evolution and the convergence of the state variables to the optimal stationary states. We get positive
results in the following cases: abstract parabolic equations, heat equation with boundary control and observation, convex
constraints on the control variable, non linear equations involving gradients of some convex functions.
Entrata in Redazione il 22 luglio 1974. |
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