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

Hongwei Lou
2010 Discrete and continuous dynamical systems. Series B  
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. 2000 Mathematics Subject Classification. Primary: 49K15, 34H05; Secondary: 93C15.
doi:10.3934/dcdsb.2010.14.1445 fatcat:vhhb42anjbaslhmfp4t7fwymqy