Control For Energy and Sustainability

EPSRC Programme Grant

[BV13a] P. Bettiol and R. B. Vinter, Estimates on Trajectories in a Closed Set with Corners for (t,x) Dependent Data, Mathematical Control and Related Fields, 3 ,3 , 2013, pp.245-267., 2013


Estimates on the distance of a given process from the set of processes that satisfy a specified state constraint in terms of the state constraint violation are important analytical tools in state constrained optimal control theory; they have been employed to ensure the validity of the Maximum Principle in normal form, to establish regularity properties of the value function, to justify interpreting the value function as a unique solution of the Hamilton-Jacobi equation, and for other purposes.