Xu Liu, Qi Lu, Xu Zhang
Published 2016-12-17Version 1
Motivated by infinite-dimensional optimal control problems with endpoint state constraints, in this Note, we introduce the notion of finite codimensional exact controllability for evolution equations. It is shown that this new controllability is equivalent to the finite codimensionality condition in the literatures to guarantee Pontryagin's maximum principle. As examples, LQ problems with fixed endpoint state constraints for a wave and a heat equation are analyzed, respectively.
Forward-backward approximation of evolution equations in finite and infinite horizon
Controllability of evolution equations with memory
Finite Codimensional Controllability, and Optimal Control Problems with Endpoint State Constraints
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