This paper investigates a linear quadratic mean field leader-follower team problem, where the model involves one leader and large number of weakly-coupled interactive followers. The followers cooperate to optimize social cost. Specifically, for any strategy provided first by leader, would like choose minimize cost functional. Using variational analysis person-by-person optimality, we construct ...

Stochastic linear quadratic control problems are considered from the viewpoint of risks. In particular, a worst-case conditional value-at-risk (CVaR) objective function is minimized subject to additive disturbances whose first two moments distribution known. The study focuses on three finding optimal feedback gain that minimizes cost of: stationary distribution, one-step, and infinite time hori...

‎In this paper‎, ‎Haar wavelets are performed for solving continuous time-variant linear-quadratic optimal control problems‎. ‎Firstly‎, ‎using necessary conditions for optimality‎, ‎the problem is changed into a two-boundary value problem (TBVP)‎. ‎Next‎, ‎Haar wavelets are applied for converting the TBVP‎, ‎as a system of differential equations‎, ‎in to a system of matrix algebraic equations‎...