The aim of the present study is to construct a state feedback controller for a given linear system that minimizes the worst-case effect of an L 2 -bounded disturbance. Our setting is different from the usual framework of H1-theory in that we consider nonzero initial conditions. The situation is...

Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe literature. We propose a new method, where the power of a node is determined by both thenumber of its...