Local mode dependent decentralized control of uncertain Markovian jump large-scale systems

This paper is concerned with the robust stabilization of a class of stochastic large-scale systems. The uncertainties satisfy integral quadratic constraints. The random parameter is a Markov process. A sufficient condition is developed to design stabilizing decentralized controllers which use local system states and local system operation modes to produce local control inputs. The sufficient condition is given in terms of a set of rank constrained linear matrix inequalities.