Geodesic
Optimal blowup time for controlled ordinary differential equations
Lou, Hongwei1 ; Wang, Weihan1
1 School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R. China
ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 3, pp. 815-834

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In this work, we study both minimal and maximal blowup time controls for some ordinary differential equations. The existence and Pontryagin’s maximum principle for these problems are derived. As a key preliminary to prove our main results, due to certain monotonicity of the controlled systems, “the initial period optimality” for an optimal triplet is built up. This property reduces our blowup time optimal control problems (where the target set is outside of the state space) to the classical ones (where the target sets are in state spaces).

Reçu le :
DOI : 10.1051/cocv/2014051
Classification : 49J15, 34A34
Keywords: Optimal blowup time, initial period optimality, existence, maximum principle

Lou, Hongwei 1 ; Wang, Weihan 1

1 School of Mathematical Sciences, Fudan University, Shanghai 200433, P.R. China 
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Lou, Hongwei; Wang, Weihan. Optimal blowup time for controlled ordinary differential equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 3, pp. 815-834. doi: 10.1051/cocv/2014051

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