Istituto di Studi sui Sistemi Intelligenti per l'Automazione     
Alessandri A., Sanguineti M. Connections between Lp stability and asymptotic stability of nonlinear switched systems. In: Nonlinear Analysis: Hybrid Systems, vol. 1 (4) pp. 501 - 509. International Conference on Hybrid Systems and Applications, Lafayette, LA, USA, May 2006: Part I. Elsevier, 2007.
Here are considered nonlinear switched systems in which the switching occurs among a class of subsystems that are characterized by input-output properties stated in terms of Lp spaces of signals. The relationships between the Lp stability of each subsystem and the internal stability of the switched system are studied. In particular, conditions on the dwell time of the switching signals that guarantee the asymptotic stability of the overall system are provided. The connections among these conditions and the Lp input-output properties of the subsystems are investigated.
DOI: 10.1016/j.nahs.2005.01.001
Subject Switched systems
Asymptotic stability
L p stability
L p optimal estimation problems
L p reachability and observability
Dwell time

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