A Note about Total Stability of a Class of Hybrid Systems

Article type: Research Article

Authors: De la Sen, Manuel

Affiliations: Departamento de Electricidad y Electronica, Instituto de Investigación y Desarrollo de Procesos IIDP, Facultad de Ciencias, Universidad del País Vasco, Campus de Leioa (Bizkaia), Aptdo. 644 de Bilbao, 48080-Bilbao, Spain, e-mail: msen@we.lc.ehu.es

Abstract: Robust stability results for nominally linear hybrid systems are obtained from total stability theorems for purely continuous-time and discrete-time systems. The class of hybrid systems dealt with consists of, in general, coupled continuous-time and digital systems subject to state perturbations whose nominal (i.e., unperturbed) parts are linear and time-varying, in general. The obtained sufficient conditions on robust stability are dependent on the values of the parameters defining the over-bounding functions of the uncertainties and the weakness of the coupling between the analog and digital sub-states provided that the corresponding uncoupled nominal subsystems are both exponentially stable.

Keywords: dynamic hybrid systems, stability, total stability

Journal: Informatica, vol. 17, no. 4, pp. 565-576, 2006