Optimal control of certain infinite dimensional systems with application to chemotherapy modelling
Tóm tắt
This paper is concerned with modeling and control of a certain class of bilinear systems. They are described by infinite number of ODE. The form of the system matrix allows decomposing the model, which, in turn, enables addressing problems of system analysis and control optimization. The system description is transformed into a finite number of integro-differential equations. An optimal control problem is stated, with the performance index defined in l/sub 1/ space, due to particular problem applications in the fields of biomedical modeling and queuing systems. Necessary conditions for optimal control are derived and their applicability discussed.
Từ khóa
#Optimal control #Transmission line matrix methods #Matrix decomposition #Automatic control #Nonlinear systems #Control system analysis #Control system synthesis #Integrodifferential equations #Performance analysis #HistoryTài liệu tham khảo
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