Continuous Media: Interpretation in Terms of Phase-Portrait Method for Dynamic Systems with Control
| Autor: | Alexandr Babichev, Nikolai Lepe, Anatoliy Butkovskiy |
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| Rok vydání: | 1987 |
| Předmět: |
Phase portrait
Quantitative Biology::Tissues and Organs Physics::Medical Physics Process (computing) Control engineering Singular point of a curve Interpretation (model theory) Differential inclusion Computer Science::Computer Vision and Pattern Recognition Applied mathematics Physics::Chemical Physics Control (linguistics) Laplace operator Hamiltonian (control theory) Mathematics |
| Zdroj: | Optimal Control of Partial Differential Equations II: Theory and Applications ISBN: 9783034876292 |
| Popis: | The paper concerns an investigation of a substance propagation process in a continuous medium by representing it as a finite-dimensional dynamic system with control (DSC). A correspondence is established between the Laplacian of this process and the Hamiltonian of the DSC. To analyse DSC in a differential inclusion form an original phase-portrait method is proposed. Some general results on DSC qualitative behavior obtained with the phase-portrait method are also presented in the paper. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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