# Causal State Feedback Representation for Linear Quadratic Optimal Control Problems of Singular Volterra Integral Equations

@inproceedings{Han2021CausalSF, title={Causal State Feedback Representation for Linear Quadratic Optimal Control Problems of Singular Volterra Integral Equations}, author={Shuo Han and Ping-Zong Lin and Jiongmin Yong}, year={2021} }

This paper is concerned with a linear quadratic optimal control for a class of singular Volterra integral equations. Under proper convexity conditions, optimal control uniquely exists, and it could be characterized via Fréchet derivative of the quadratic functional in a Hilbert space or via maximum principle type necessary conditions. However, these (equivalent) characterizations have a shortcoming that the current value of the optimal control depends on the future values of the optimal state…

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