Re: A question on contral parameters in dynamical systems?
- From: Gene S. Berkowitz <first.last@xxxxxxxxxxx>
- Date: Mon, 31 Mar 2008 19:51:54 GMT
In article <35e4cfd5-01bd-4cde-8006-
88bf87e86c6c@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>, fyanguw@xxxxxxxxx says...
Hi gurus,
I have an urgent question on contral parameters in dynamical systems.
I would greatly appreciate your help!
Suppose we have a dynamic system as
\dot{x} = f (x, \beta), where x is nx1 vector and \beta is a vector
of
continuous-time control variables (with the same dimension as x).
Consider the following optimization problem:
min g(x, \beta)
subject to
\dot{x} = f (x, \beta)
0 <= \beta <= UB
Since the objetive function is continuous, and the constraint set is
convex and compact, the solution of \beta must exist.
My questions is: if we add one more constraint, A<= \dot{\beta} <=
B, then whether can we say the constraint set is still convex and
compact????
Thank you very much,
Fan
No, all we can say is that your homework is going to be overdue...
--Gene
.
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