Y-stability and stabilization in the mean of discrete-time stochastic systemsY-stability and stabilization in the mean of discrete-time stochastic systems Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-062015enThe concept of stochastic stability in the pth mean with respect to some of the state components of a discrete-time system with random initial conditions is developed. Conditions for stability and instability are proven involving suitable Lyapunov functions. These conditions are applied to the design of proper feedback to achieve stabilization with respect to some of the state components. A technique is presented which simplifies the stabilization problem for certain linear systems. The ideas of this paper are illustrated by examples.http://creativecommons.org/licenses/by/4.0/International Journal of Control401159-169 Yannis Phillis Φιλλης Ιωαννης Greek mathematics mathematics greek greek mathematics