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A new class of Lyapunov functions for nonstandard switching systems: The stability analysis problem
2011
IEEE Conference on Decision and Control and European Control Conference
This paper presents a new class of Lur'e type Lyapunov functions for a discrete-time switched system interconnected with a switched nonlinearity satisfying a modedependent cone bounded condition. This function includes the mode-dependent nonlinearity, but not its integral. Such a Lyapunov function allows to obtain sufficient conditions in terms of linear matrix inequalities (LMI), for the stability analysis in two different frameworks: global stability analysis for the considered systems and
doi:10.1109/cdc.2011.6161130
dblp:conf/cdc/GonzagaJDC11
fatcat:2z4ysmmygrfsreszjxrp4zakwy