TY: JOUR
T1 - Stability of Simultaneously Block Triangularizable Switched Systems with Partial State Reset
A1 - Brás, Isabel
A1 - Rocha, Paula
A1 - Carapito, Ana Catarina
N2 - 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.
UR - https://ria.ua.pt/handle/10773/18700
Y1 - 2017
PB - Taylor and Francis