In this work we derive an easily testable suffi-
cient condition for assessing Almost Sure (AS) stability of a
continuous-time Markov Jump Linear System (MJLS) with a
finite state Markov form process. Such a condition is used to
design a feedback stabilization strategy under the hypothesis
that at least one mode is controllable. The proposed condition
relies on some bounds on the 2-norm of the transition matrix
over the time interval to the first jump. Such bounds are
computed from the eigenvalues of the solutions of a set
of associated Lyapunov equations, one for each mode. An
algorithm is also given for designing the stabilizing feedback,
based on a formulation of the sufficient condition in terms of
an equivalent LMI problem
