Elena De Santis

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The notion of observability and detectability for a particular class of hybrid systems, linear continuous-time switching systems, is investigated. We compare some of the definitions of observability previously offered and we analyze their drawbacks. A novel definition of observability is proposed corresponding to the possibility of reconstructing the state(More)
We address the idle speed control problem in automotive electronics using hybrid methods to derive a digital control law with guaranteed properties. Associating a switching system with the hybrid system that describes the engine operation is crucial to developing a computationally feasible approach. For switching systems with minimum and maximum dwell times(More)
Given a pair of linear switching systems, we study conditions that ensure the observability of internal variables arising in the input–output interconnection of the switching systems on the basis of the knowledge of input and hybrid output of the interconnected system. Some sufficient and necessary conditions are provided for the reconstruction of hybrid(More)
We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the hybrid outputs for a suitable choice of the control input. We derive a necessary and sufficient condition for observability that can be verified(More)