Abstract :
A class of asynchronous dynamical systems with rate constraints is introduced. A numerical procedure for a quadratic stability analysis, based on a combination of linear matrix inequalities and a genetic algorithm is proposed. Applications to networked control systems with packet dropout and to convergence of asynchronous fixed point iterations are described. The results obtained are put in perspective as well as compared with those obtained earlier in the literature
Keywords :
Lyapunov methods <asynchronous dynamical systs., rate constraints and appls., stabil.>; asymptotic stability <asynchronous dynamical systs., rate constraints and appls., stabil.>; convergence of numerical methods <asynchronous dynamical systs., rate constraints and appls., stabil.>; genetic algorithms <asynchronous dynamical systs., rate constraints and appls., stabil.>; iterative methods <asynchronous dynamical systs., rate constraints and appls., stabil.>; linear matrix inequalities <asynchronous dynamical systs., rate constraints and appls., stabil.>; Lyapunov-based theory; asynchronous dynamical systems; asynchronous fixed point iterations; decay rate; exponential stability; genetic algorithm; linear matrix inequalities; quadratic Lyapunov function; quadratic stability analysis; rate constraints;
