Chub K. The optimal control of Monod-Ierusalimmski kinetic system.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U002517

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

05-10-2000

Specialized Academic Board

Д 26.001.09

Taras Shevchenko National University of Kyiv

Essay

This thesis is devoted to the mathematical investigation of several problems of optimal control for nonlinear kinetic system. The existence, uniqueness and asymptotic stability of the main control are buit. Controllability of nonlinear kinetic system from the series of parameters of model is established. The synthesis of optimal control is carried out and the appropriate phase-plane portraits are built. The asymptotic stability of two sliding of automatic control system (trubidostat and hemostat) is established. Obtained theoretical resuls enable the realization of structural optimization of biological systems making choice of optimal regumes of functioning of biotechnological processes.

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