In this paper, we present switched adaptive strategies to incrementally stabilise a class of Carathéodory nonlinear systems. Using the concept of switched matrix measures based on the use of multiple norms, and the transaction coefficients between these norms, sufficient conditions are presented to prove incremental stability of a switched system. Furthermore, based on these sufficient conditions, two strategies are proposed to incrementally stabilise a switched system of interest: one based on monitoring the switching signal in a continuous way, the other on monitoring it only at selected discrete-time instants. We prove that in both situations, the switched system can be effectively stabilised. As a representative application, we illustrate the efficiency of these strategies by synchronizing a network system with blinking (switching) graph structures.
Switched adaptive strategies for contraction and incremental stability of Carathéodory systems using multiple norms / Lu, Wenlian; DI BERNARDO, Mario. - 2016:(2016), pp. 5550-5555. (Intervento presentato al convegno 54th IEEE Conference on Decision and Control, CDC 2015 tenutosi a Osaka International Convention Center (Grand Cube), 5-3-51 Nakanoshima, Kita-Ku, jpn nel 2015) [10.1109/CDC.2015.7403089].
Switched adaptive strategies for contraction and incremental stability of Carathéodory systems using multiple norms
DI BERNARDO, MARIO
2016
Abstract
In this paper, we present switched adaptive strategies to incrementally stabilise a class of Carathéodory nonlinear systems. Using the concept of switched matrix measures based on the use of multiple norms, and the transaction coefficients between these norms, sufficient conditions are presented to prove incremental stability of a switched system. Furthermore, based on these sufficient conditions, two strategies are proposed to incrementally stabilise a switched system of interest: one based on monitoring the switching signal in a continuous way, the other on monitoring it only at selected discrete-time instants. We prove that in both situations, the switched system can be effectively stabilised. As a representative application, we illustrate the efficiency of these strategies by synchronizing a network system with blinking (switching) graph structures.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
