[comp.theory.dynamic-sys] Singular Optimal Control references?

herve@cvl.umd.edu (Jean-Yves Herve') (02/10/90)

Well, the title says it all. I am looking for references on Singular
Optimal Control. The only book I have found so far is "Singular
Optimal Control Problems" by D.J. Bell and D.H. Jacobson (1975).
The book is good, but doesn't show (m)any practical examples and the
chapter on numerical methods is rather elliptic. So references to
just about any paper (post 1975) on this subject would be most
welcome. Actually, the ideal paper would be one mixing Singular
and Stochastic control  (+ inequality constraints on the state
variables but here  I'm dreaming) with a nice application.
Any pointer/idea/sugestion ?


While I am speaking of control, has anybody read Alain Bensoussan's
"Perturbation Methods in Optimal Control" (Wiley 1988)? The book 
has been on my desk for sometime now, and I cannot manage to go
through it. I read the review it was given in Siam Review, and the
author was praised for his "customary clarity" (or something of the
like). Maybe it is the presentation that turns me off (I mean, I have 
seen russian books better edited!) or maybe it is the fact that the 
author seems to switch quite inconsistantly from mathematical pickyness 
to fast overview mode. Opinion on the book anybody? Should I try to
be courageous and finish it? 

Thanks in advance

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 Jean-Yves Herve'   
 Computer Vision Laboratory               herve@cvl.umd.edu          
 Center for Automation Research       
 University of Maryland
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