Title :
Stability of asynchronous systems with Poisson transitions
Author :
Leland, Robert P.
Author_Institution :
Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA
fDate :
1/1/1994 12:00:00 AM
Abstract :
We consider the stability of an asynchronous system modeled as a collection of coupled processes with independent Poisson state transitions. Using Lyapunov functions, sufficient conditions for both mean square and almost sure convergence independent of state transition rates are developed for the linear case, and weaker transition rate dependent conditions are derived for the linear and nonlinear case. An illustrative example is discussed and simulated
Keywords :
Lyapunov methods; stability; Lyapunov functions; almost sure convergence; asynchronous systems; convergence conditions; coupled processes; independent Poisson state transitions; mean square convergence; stability; Convergence; Costs; Delay systems; Discrete time systems; Interconnected systems; Large-scale systems; Poisson equations; Riccati equations; Stability; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
