Robust [formula omitted] indefinite guaranteed cost dynamic output feedback control of singular semi-Markov jump systems.

This paper considers the robust H ∞ guaranteed cost control problem for singular continuous-time semi-Markov jump systems. In quadratic cost function, the weighting matrices are indefinite. First, sufficient conditions are given which ensure the related closed-loop systems to be stochastically admissible with γ -disturbance attenuation, and the value of the cost function is bounded between zero and the positive upper bound. Then, by a new linear matrix inequality(LMI) method and a matrix decoupling technique, the reducible dynamic output feedback guaranteed cost controllers with full order or reduced order are designed. Last, the effectiveness of the proposed methods is illustrated by two examples. [ABSTRACT FROM AUTHOR]