distributed parameter control system
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1993 ◽  
Vol 6 (2) ◽  
pp. 161-179 ◽  
Author(s):  
Guo Bao Zhu

A one dimensional ablation model with transpiration cooling control and nonlinear effect is studied, which is a distributed parameter control system with moving boundary and both governing equation and boundary conditions involving control variable. A solution is given by a Rothe approximation scheme.


1990 ◽  
Vol 41 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Nikolaos S. Papageorgiou

In this paper we use the Dubovitski–Milyutin formalism to establish necessary and sufficient conditions for optimality in a nonlinear, distributed parameter control system, with convex cost criterion and initial condition not given a priori (that is it is not a known function but instead it belongs to a specified set). Our result extends a recent theorem of Lions. Finally a concrete example is worked out in detail.


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