  This paper proposes a novel asynchronous consensus algorithm which is based
on a continuous update rule and an energy efficient event triggered duty
(wake-sleep) cycle based on a discrete Markov chain model. The system model of
the proposed algorithm is formulated and analyzed. The conditions for
convergence and stability of the algorithm are derived and the algorithm is
proved to converge to an average consensus. Numerical simulations on random,
circular, chain and star graphs show stability in consensus and convergence to
network global state average.
