Abstract
For delayed singular switched positive systems(SSPSs) under mode-dependent minimum dwell time(MDMDT) switching signal, the stability and standard gain performance in the sense of L1-gain and L∞-gain are analyzed in this paper, and both continuous-time and discrete-time cases are taken into account. Firstly, a sufficient stability condition for delayed continuous-time SSPSs under MDMDT switching signal is provided, and meanwhile, to analyze the disturbance attenuation performance, the standard gain performance conditions in the sense of L1-gain and L∞-gain are proposed, respectively. Next, considering delayed discrete-time SSPSs under MDMDT switching signal, sufficient stability condition and standard gain performance conditions in the sense of L1-gain and L∞-gain are put forward, respectively. Moreover, for delayed SSPSs with minimum dwell time switching signal, stability and standard gain performance are also analyzed. At last, the validity of theoretical results are proven via two examples.
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