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SIAMCO
2008
121views more  SIAMCO 2008»
13 years 4 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
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
13 years 6 months ago
Optimal control of a fedbatch fermentation process: Numerical methods, sufficient conditions and sensitivity analysis
Bang-bang and singular optimal controls in a fedbatch fermentation process are computed for a range of time horizons. Numerical algorithms for determining the optimal control struc...
Adam Korytowski, Maciej Szymkat, Helmut Maurer, Ge...
COMGEO
2010
ACM
13 years 4 months ago
Exact join detection for convex polyhedra and other numerical abstractions
r Numerical Abstractions6 Roberto Bagnaraa , Patricia M. Hillb , Enea Zaffanellaa aDepartment of Mathematics, University of Parma, Italy bSchool of Computing, University of Leeds, ...
Roberto Bagnara, Patricia M. Hill, Enea Zaffanella
IJRR
2010
132views more  IJRR 2010»
13 years 2 months ago
LQR-trees: Feedback Motion Planning via Sums-of-Squares Verification
Advances in the direct computation of Lyapunov functions using convex optimization make it possible to efficiently evaluate regions of attraction for smooth nonlinear systems. Her...
Russ Tedrake, Ian R. Manchester, Mark Tobenkin, Jo...