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This paper further investigates a type of exponential stability for linear impulsive systems that is uniform with respect to the set of impulse times. The point of departure is a Lie-algebraic analysis previously developed for linear impulsive systems initially motivated by existing stability conditions for linear switched systems. The aim of this paper is a refinement of previous results whereby...
This paper aims at estimating the switching time for linear switched systems, i.e. the time instant when a sub-model is switched on while another one is switched off. Assuming that the state of the active sub-models is known, a distribution point of view is adopted to get a real-time estimation of these switching times. Real-time means that an explicit algorithm computes on-line these time instants...
We present a novel ultimate bound computation method for switched linear systems with disturbances and arbitrary switching. We consider both discrete-time and continuous-time systems. The proposed method relies on the existence of a transformation that takes all matrices of the switched linear system into a convenient form satisfying certain properties. The method provides ultimate bounds in the form...
We extend previous works on real-time estimation, via algebraic techniques, to the recovering of the switching signal and of the state for switching linear systems. We characterize also singular inputs for which the switched systems become undistinguishable. Several convincing numerical experiments are illustrating our techniques which are easily implementable.
This paper presents a unified perspective for geometric and algebraic criteria for the reachability and controllability of switched linear systems. The direct connection between the geometric and algebraic criterion is established as well as that between the subspace algorithm for controllability/reachability and other algebraic criterion. In particular, we investigate the reachability realization...
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