Covector mapping principle
The covector mapping principle is a special case of Riesz' representation theorem, which is a fundamental theorem in functional analysis. The name was coined by Ross and co-workers, It provides conditions under which dualization can be commuted with discretization in the case of computational optimal control.Description
An application of Pontryagin's minimum principle to Problem, a given optimal control problem generates a boundary value problem. According to Ross, this boundary value problem is a Pontryagin lift and is represented as Problem. Image:CMP-OptimalControl.png|thumb|300px|center|Illustration of the Covector Mapping Principle more easily by discretizing first and dualizing afterwards. The sequence of operations must be done carefully to ensure consistency and convergence. The covector mapping principle asserts that a covector mapping theorem can be discovered to map the solutions of Problem to Problem thus completing the circuit.
