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We propose a framework that allows to study hybrid systems with delays through generalized concepts of solutions. Such generalized solutions have proved to be suitable for the analysis and design of hybrid control systems. Extending these concepts to systems with delays is motivated by control applications where hybrid feedback control laws play an important role but delays are often inevitable. Our...
In this paper input-to-state stability for large-scale discrete-time networks of systems with delay is considered. Firstly, interconnection delays between systems, which can arise due to the propagation of signals over large distances, are treated. It is established that such delays cannot cause the instability of the network if a delay-independent small-gain condition holds. Secondly, local delays...
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