On characterizations of the input-to-state stability property
Systems & Control Letters
Output-to-state stability and detectability of nonlinear systems
Systems & Control Letters
Input-Output-to-State Stability
SIAM Journal on Control and Optimization
Brief paper: Input-to-state stability of switched systems and switching adaptive control
Automatica (Journal of IFAC)
Pre-orders for reasoning about stability properties with respect to input of hybrid systems
Proceedings of the Eleventh ACM International Conference on Embedded Software
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In this paper, the concepts of input/output-to-state stability (IOSS) and state-norm estimators are considered for switched nonlinear systems under average dwell-time switching signals. We show that when the average dwell-time is large enough, a switched system is IOSS if all of its constituent subsystems are IOSS. Moreover, under the same conditions, a non-switched state-norm estimator exists for the switched system. Furthermore, if some of the constituent subsystems are not IOSS, we show that still IOSS can be established for the switched system, if the activation time of the non-IOSS subsystems is not too big. Again, under the same conditions, a state-norm estimator exists for the switched system. However, in this case, the state-norm estimator is a switched system itself, consisting of two subsystems. We show that this state-norm estimator can be constructed such that its switching times are independent of the switching times of the switched system it is designed for.