Optimal control of certain infinite dimensional systems with application to chemotherapy modelling

摘要

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.