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SIAMCO
2008
121views more  SIAMCO 2008»
14 years 9 months ago
Numerical Verification of Optimality Conditions
A class of optimal control problem for a semilinear elliptic partial differential equation with control constraints is considered. It is well known that sufficient second-order con...
Arnd Rösch, Daniel Wachsmuth
65
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SIAMCO
2008
80views more  SIAMCO 2008»
14 years 9 months ago
Optimal Transportation Problem by Stochastic Optimal Control
We solve optimal transportation problem using stochastic optimal control theory. Indeed, for a super linear cost at most quadratic at infinity, we prove Kantorovich duality theore...
Toshio Mikami, Michèle Thieullen
SIAMCO
2008
81views more  SIAMCO 2008»
14 years 9 months ago
Reaching a Consensus in a Dynamically Changing Environment: A Graphical Approach
This paper presents new graph-theoretic results appropriate to the analysis of a variety of consensus problems cast in dynamically changing environments. The concepts of rooted, s...
Ming Cao, A. Stephen Morse, Brian D. O. Anderson
SIAMCO
2008
87views more  SIAMCO 2008»
14 years 9 months ago
Homogeneous Approximation, Recursive Observer Design, and Output Feedback
We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to ma...
Vincent Andrieu, Laurent Praly, Alessandro Astolfi
SIAMCO
2008
73views more  SIAMCO 2008»
14 years 9 months ago
A Post-Treatment of the Homogenization Method for Shape Optimization
We propose an alternative to the classical post-treatment of the homogenization method for shape optimization. Rather than penalize the material density once the optimal composite ...
O. Pantz, K. Trabelsi