From LQR design to nonconvex global optimization: homage to contribution and impact of V.A. Yakubovich∗

The paper provides an overview of some key contributions to the theory of optimal control performed by V.A. Yakubovich, with the focus on the fundamental findings in linearquadratic optimal regulation and entailed developments in global nonconvex optimization. Along with the works of V.A. Yakubovich, the paper broadly reports on relevant findings of his collaborators, especially in the area of nonconvex global optimization.