The time-optimal problem is considered for the controllable heat conduction process in a rod. Using the Fourier method, the problem is usually reduced to an infinite system of one-dimensional control equations whose control parameters are connected by complex relationships that make it difficult to solve. This article presents a method for regrouping the terms of the Fourier series of the control function, enabling the reduction of the problem to a finite-dimensional framework. The resulting reduced problem facilitates the more effective construction of a suboptimal control.
| Mualliflar | Azamov, Abdulla, Bakhramov , Jasurbek |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 35-39 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2025-4-4 |
DOI: 10.29229/uzmj.2025-4-4 · Maqolaning asl sahifasi
heat equation, control problem, time optimality, Fourier expansion, regrouping, finite dimensional reduction, suboptimal control.
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