Combinatorial integral approximation

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Kameswaran S, Biegler L (2006) Simultaneous dynamic optimization strategies: recent advances and challenges. Comput Chem Eng 30: 1560–1575

Lee J, Leung J, Margot F (2004) Min-up/ min-down polytopes. Discr Optim 1: 77–85

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Margaliot M (2007) A counterexample to a conjecture of Gurvits on switched systems. IEEE Trans Automat Control 52(6): 1123–1126

Sager S (2005) Numerical methods for mixed–integer optimal control problems. Der andere Verlag, Tönning, Lübeck, Marburg ISBN 3-89959-416-9. Available at http://sager1.de/sebastian/downloads/Sager2005.pdf

Sager S (2009) Reformulations and algorithms for the optimization of switching decisions in nonlinear optimal control. J Process Control 19(8): 1238–1247

Sager S, Reinelt G, Bock H (2009) Direct methods with maximal lower bound for mixed-integer optimal control problems. Math Program 118(1): 109–149

Sager S, Bock H, Diehl M (2011) The integer approximation error in mixed-integer optimal control. Accepted by Mathematical Programming doi: 10.1007/s10107-010-0405-3

Sharon Y, Margaliot M (2007) Third-order nilpotency, finite switchings and asymptotic stability. J Differ Equ 233: 135–150

Tawarmalani M, Sahinidis N (2002) Convexification and global optimization in continuous and mixed- integer nonlinear programming: theory, algorithms, software, and applications. Kluwer, Dordrecht