On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters

We consider a guaranteed control problem for a nonlinear distributed equation of diffusion type. The problem is essentially to construct a feedback control algorithm ensuring that the solution of a given equation tracks the solution of a similar equation subjected to an unknown disturbance. The case...

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Veröffentlicht in:Differential equations 2023-11, Vol.59 (11), p.1527-1537
1. Verfasser: Maksimov, V. I.
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider a guaranteed control problem for a nonlinear distributed equation of diffusion type. The problem is essentially to construct a feedback control algorithm ensuring that the solution of a given equation tracks the solution of a similar equation subjected to an unknown disturbance. The case in which a discontinuous unbounded function can be a feasible disturbance is studied. We solve the problem under conditions of inaccurate measurement of solutions of each of the equations at discrete instants of time and indicate a solution algorithm robust under information noise and calculation errors.
ISSN:0012-2661
1608-3083
DOI:10.1134/S00122661230110071