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Exponential stability of switched systems with impulsive effect

Exponential stability of switched systems with impulsive effect
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摘要 The exponential stability of a class of switched systems containing stableand unstable subsystems with impulsive effect is analyzed by using the matrix measure concept andthe average dwell-time approach. It is shown that if appropriately a large amount of the averagedwell-time and the ratio of the total activation time of the subsystems with negative matrix measureto the total activation time of the subsystems with nonnegative matrix measure is chosen, theexponential stability of a desired degree is guaranteed.Using the proposed switching scheme, westudied the robust exponential stability for a class of switched systems with impulsive effect andstructure perturbations.Simulations validate the main results. The exponential stability of a class of switched systems containing stableand unstable subsystems with impulsive effect is analyzed by using the matrix measure concept andthe average dwell-time approach. It is shown that if appropriately a large amount of the averagedwell-time and the ratio of the total activation time of the subsystems with negative matrix measureto the total activation time of the subsystems with nonnegative matrix measure is chosen, theexponential stability of a desired degree is guaranteed.Using the proposed switching scheme, westudied the robust exponential stability for a class of switched systems with impulsive effect andstructure perturbations.Simulations validate the main results.
出处 《控制理论与应用(英文版)》 EI 2005年第1期60-66,共7页
基金 TheworkwassupportedbytheNationalNaturalScienceFoundationofChina(No.60174042,60304003,60474050)andtheNaturalScienceFoundationofShandongProvince(No.Q2003G02).
关键词 matrix measure average dwell-time exponential stability hybrid dynamicalsystems matrix measure average dwell-time exponential stability hybrid dynamicalsystems
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