This technical note proposes a switching anti-windup design, which aims to enlarge the domain of attraction of the closed-loop system. Multiple anti-windup gains along with an index function that orchestrates the switching among these anti-windup gains are designed based on the min function of multiple quadratic Lyapunov functions. In comparison with the design of a single anti-windup gain whic...

In game theory the interaction among players obligates each player to develop a belief about the possible strategies of the other players, to choose a best-reply given those beliefs, and to look for an adjustment of the best-reply and the beliefs using a learning mechanism until they reach an equilibrium point. Usually, the behavior of an individual cost-function, when such best-reply strategie...

We study the difference splitting scheme for numerical calculation of stable solutions a two-dimensional linear hyperbolic system with dissipative boundary conditions in case constant coefficients lower terms. A discrete analogue Lyapunov function is constructed and an priori estimate obtained it. The allows us to assert exponential stability solution.