Archivio Istituzionale della RicercaIn this paper we consider switched systems defined by a pair of linear systems $\dot x =A_1 x$, $\dot x =A_2 x$, such that there exists a neutrally stable linear combination of the matrices $A_1$, $A_2$. Under an additional assumption, we prove that there exists a state space depending switching rule which stabilizes the system in a very general sense. The result is illustrated by some simulations and examples.
Stabilization by means of state space depending switching rules / Bacciotti, Andrea. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 53:(2004), pp. 195-201. [10.1016/j.sysconle.2004.04.005]
Stabilization by means of state space depending switching rules
BACCIOTTI, Andrea
2004
Abstract
In this paper we consider switched systems defined by a pair of linear systems $\dot x =A_1 x$, $\dot x =A_2 x$, such that there exists a neutrally stable linear combination of the matrices $A_1$, $A_2$. Under an additional assumption, we prove that there exists a state space depending switching rule which stabilizes the system in a very general sense. The result is illustrated by some simulations and examples.
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https://hdl.handle.net/11583/1396699
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