Title :
Optimal control of certain infinite dimensional systems with application to chemotherapy modelling
Author :
Smieja, J. ; Swierniak, A.
Author_Institution :
Dept. of Autom. Control, Silesian Univ. of Technol., Gliwice, Poland
Abstract :
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 l1 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.
Keywords :
bilinear systems; integro-differential equations; matrix algebra; multidimensional systems; optimal control; performance index; queueing theory; ODE; bilinear systems; biomedical modeling; chemotherapy modelling; control optimization; infinite dimensional systems; integro-differential equations; model decomposition; optimal control; performance index; queuing systems; system analysis; system matrix; Automatic control; Control system analysis; Control system synthesis; History; Integrodifferential equations; Matrix decomposition; Nonlinear systems; Optimal control; Performance analysis; Transmission line matrix methods;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024463
