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 |
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| container_issue | 11 |
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| container_title | Differential equations |
| container_volume | 59 |
| creator | Maksimov, V. I. |
| description | 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. |
| doi_str_mv | 10.1134/S00122661230110071 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0012-2661 |
| ispartof | Differential equations, 2023-11, Vol.59 (11), p.1527-1537 |
| issn | 0012-2661 1608-3083 |
| language | eng |
| recordid | cdi_proquest_journals_2907790677 |
| source | SpringerNature Journals |
| subjects | Algorithms Control Theory Difference and Functional Equations Differential equations Feedback control Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Ordinary Differential Equations Partial Differential Equations Robustness (mathematics) |
| title | On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters |
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