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We address a class of Markov jump linear systems that are characterized bythe underlying Markov process being time-inhomogeneous with a priori unknowntransition probabilities. Necessary and sufficient conditions for uniformstochastic stability and uniform stochastic disturbance attenuation arereported. In both cases, conditions are expressed as a set offinite-dimensional linear matrix inequalities that can be solved efficiently.

Stability and disturbance attenuation for a switched Markov jump linear system