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• W2898016588 endingPage "012080" @default.
• W2898016588 startingPage "012080" @default.
• W2898016588 abstract "There are many physical systems which can be modeled by a time-varying Sturm-Liouville system i.e. a system is inducted by the negative of a time-varying Sturm-Liouville operator. The system is a time-varying Riesz-spectral system. The goals of this paper are to analyze exact controllability, stabilizability, and stability radius of the time-varying Riesz-spectral systems. The steps of analysis of methods of the paper are to define a time-varying Sturm-Liouville system, to construct sufficient and necessary conditions for exact controllability and stabilizability, and to find stability radius. The analysis uses a strongly continuous quasi-semigroup approach. The results show that sufficient and necessary conditions for exact controllability, exact null controllability, and stabilizability can be constructed. Moreover, in the time-varying Sturm-Liouville systems, the exact null controllability implies the complete stabilizability. This is parallel with infinite dimensional of time-invariant systems. Also, the lower bound for the stability radius of the time-varying Sturm-Liouville systems is a reciprocal of the norm of the input-output operator. An example is provided to confirm the results." @default.
• W2898016588 created "2018-10-26" @default.
• W2898016588 creator A5001114644 @default.
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• W2898016588 date "2018-09-01" @default.
• W2898016588 modified "2023-09-30" @default.
• W2898016588 title "Complete stabilizability and stability radius of time-varying Sturm-Liouville systems" @default.
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• W2898016588 doi "https://doi.org/10.1088/1742-6596/1097/1/012080" @default.
• W2898016588 hasPublicationYear "2018" @default.
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