Second-order necessary/sufficient conditions for optimal
control problems in the absence of linear structure
Hongwei Lou - School of Mathematical Sciences and LMNS, Fudan University, Shanghai 200433, China (email)
Abstract: 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.
Keywords: optimal control, second-order
necessary conditions, sufficient conditions, ordinary differential
Received: October 2009; Revised: February 2010; Published: August 2010.
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