On the hyperstability of a class of hybrid systems |
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| Authors: | M DE LA SEN |
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| Affiliation: | Departamcnto de Electricidad y Electrónica , Instituto de Inve-stigación y Desarrollo de Procesos I IDF’, Facultad de Ciencias, Uni-versidad del Pais Vasco , Leioa (Bizkaia)-Aptdo 644 de, Bilbao, Spain. |
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| Abstract: | Sufficient conditions of the hyperstability of a class of single-input single-output hybrid systems, composed of interconnected continuous and discrete subsystems, are given. Hyperstability is guaranteed by that of a discrete extended system which is built by incorporating samples of the continuous substrate. Asymptotic hyperstability is guaranteed by that of one discrete system, together with that of a continuous one. Both systems are related to an augmented state representation of the linear part of the overall system for all the nonlinear output-feedback time-varying actuators that satisfy generalized Popov-type inequalities. |
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