November  2010, 14(4): 1445-1464. doi: 10.3934/dcdsb.2010.14.1445

Second-order necessary/sufficient conditions for optimal control problems in the absence of linear structure

1. 

School of Mathematical Sciences and LMNS, Fudan University, Shanghai 200433, China

Received  October 2009 Revised  February 2010 Published  August 2010

Second-order necessary conditions for optimal control problems are considered, where the "second-order" is in the sense of that Pontryagin's maximum principle is viewed as a first-order necessary optimality condition. A sufficient condition for a local minimizer is also given.
Citation: Hongwei Lou. Second-order necessary/sufficient conditions for optimal control problems in the absence of linear structure. Discrete & Continuous Dynamical Systems - B, 2010, 14 (4) : 1445-1464. doi: 10.3934/dcdsb.2010.14.1445
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