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• W4385612975 endingPage "107493" @default.
• W4385612975 startingPage "107493" @default.
• W4385612975 abstract "This paper addresses the analysis and synthesis of hybrid positive systems with hybrid L1×ℓ1-gain performance. The considered systems contain both continuous- and discrete-time positive subsystems. The notion of hybrid L1×ℓ1-gain performance is introduced for hybrid positive systems. First, some sufficient conditions for the stability of the system without disturbances are established using a hybrid copositive Lyapunov function incorporated with average dwell time switching. Then, the characterization on the stability with hybrid L1×ℓ1-gain performance of the system with continuous- and discrete-time disturbances is explored based on linear programming. A hybrid average dwell time switching law is proposed, where continuous- and discrete-time subsystems have their own average dwell time switching. Furthermore, a hybrid controller of the system is designed by virtue of matrix decomposition approach. Finally, one example is given to verify the validity of the results." @default.
• W4385612975 created "2023-08-07" @default.
• W4385612975 creator A5000591965 @default.
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• W4385612975 date "2023-11-01" @default.
• W4385612975 modified "2023-10-12" @default.
• W4385612975 title "Hybrid <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e135 altimg=si6.svg><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo linebreak=goodbreak linebreakstyle=after>×</mml:mo><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-gain performance analysis and synthesis of hybrid positive systems" @default.
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• W4385612975 doi "https://doi.org/10.1016/j.cnsns.2023.107493" @default.
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