Tracking the solution to a nonlinear distributed differential equation by feedback laws
Yu.S. Osipov1,2, V.I. Maksimov3
1Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow, 119991, Russia
2Steklov Mathematical Institute RAS, 8 Gubkina st. Moscow, 119991, Russia
3N.N. Krasovskii Institute of Mathematics and Mechanics UB RAS, 16 S. Kovalevskaya st., Yekaterinburg, 620990, Russia
Keywords: распределенное уравнение, обратная связь, задача слежения, distributed differential equation, feedback, tracking problem
Abstract
A nonlinear distributed second order equation is considered. An algorithm for tracking a prescribed solution based on constructions from the feedback control theory is designed. The algorithm is stable with respect to informational noise and computational errors. It is oriented to a large enough time interval, where the solution is considered.
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