11 research outputs found
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations
Second order analysis of control-affine problems with scalar state constraint
In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition