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Timed automata are popular for formally analyzing real-time systems. However, it is difficult to depict real-time systems with compositional components that interact with each other in a synchronization way or a mutex way. Synchronized components are modeled using parallel composition of timed automata by Larsen et al. This paper proposes controller automata to represent real-time systems with mutex components. In a controller automaton each state corresponds to a timed automaton with a built-in mechanism of relations, e.g., preemptions, in which every such timed automaton models a component of the real-time system. It is shown that given a strict partial order over states, an ordered controller automaton can be translated into a timed automaton. Various analyses are thus performed by checking the reachability to an error state.