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Title: Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset
Author: Brás, Isabel
Rocha, Paula
Carapito, Ana Catarina
Keywords: Switched system
Partial reset
Simultaneous block triangularization
Issue Date: 4-Mar-2017
Publisher: Taylor and Francis
Abstract: We study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilizable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilizability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularizability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilizable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems.
Peer review: yes
DOI: 10.1080/00207179.2016.1183174
ISSN: 0020-7179
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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