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The objectives of this paper are to study the rank properties of flows of hybrid systems, show that they are fundamentally different from those of smooth dynamical systems, and to consider applications that emphasize the importance of these differences. It is well known that the flow of a smooth dynamical system has rank equal to the space on which it evolves. We prove that, in contrast, the rank...
The objectives of this paper are to study the rank properties of flows of hybrid systems, show that they are fundamentally different from those of smooth dynamical systems, and consider applications that emphasize the importance of these differences. In contrast with smooth dynamical systems, the rank of a solution to a hybrid system, a hybrid execution, is always less than the dimension of the space...
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