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• W2898447837 abstract "This paper investigates robust finite-time stabilization scheme for positive semi-Markovian switching systems (S-MSSs). Semi-Markovian process (SMP), external disturbances, and transient performances at a finite-time level may appear in a controlled system. A more general system model for S-MSSs that covers Markovian switching systems (MSSs) as a special case is suitable for describing some complex systems that are subject to random abrupt changes in structure and parameter. The main motivation for this is that finite-time problems can be used to describe the transient performance of practical industrial control processes. First, under the framework of stochastic semi-Markovian Lyapunov functions theory, some sufficient conditions for finite-time boundedness (FTBs) and L1 FTBs criteria for positive S-MSSs are proposed for all admissible disturbances. Then, a novel L1 finite-time controller design method that employs the gain matrix decomposition method is presented to reduce some conservativeness, thereby guaranteeing that the resulting closed-loop system (RLCS) could achieve positivity, FTBs, and attain a prescribed L1 noise attenuation performance index in standard linear programming (LP). Finally, a practical example is introduced to show the effectiveness of the main theory" @default.
• W2898447837 created "2018-11-02" @default.
• W2898447837 creator A5020855967 @default.
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• W2898447837 creator A5054705892 @default.
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• W2898447837 date "2019-03-01" @default.
• W2898447837 modified "2023-10-15" @default.
• W2898447837 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi mathvariant=script>L</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math>finite-time stabilization for positive semi-Markovian switching systems" @default.
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• W2898447837 doi "https://doi.org/10.1016/j.ins.2018.10.045" @default.
• W2898447837 hasPublicationYear "2019" @default.
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