Displaying similar documents to “Boundary-influenced robust controls: two network examples”

Unbounded viscosity solutions of hybrid control systems

Guy Barles, Sheetal Dharmatti, Mythily Ramaswamy (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the system is changed discontinuously when the trajectory hits predefined sets, namely, an autonomous jump set or a controlled jump set where controller can choose to jump or not. At each jump, trajectory can move to a different Euclidean space. We allow the cost functionals to be unbounded with certain growth...

Second order optimality conditions in the smooth case and applications in optimal control

Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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The aim of this article is to present algorithms to compute the first conjugate time along a smooth extremal curve, where the trajectory ceases to be optimal. It is based on recent theoretical developments of geometric optimal control, and the article contains a review of second order optimality conditions. The computations are related to a test of positivity of the intrinsic second order derivative or a test of singularity of the extremal flow. We derive an algorithm called COTCOT (Conditions...