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Transactions: WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
Transactions ID Number: 42-231
Full Name: Kreangkri Ratchagit
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand
Country: THAILAND
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E-mail address: kreangkri@mju.ac.th
Other E-mails: kreangkri2524@hotmail.com
Title of the Paper: Asymptotic stability of linear continuous time-varying systems with state delays in Hilbert spaces
Authors as they appear in the Paper: Kreangkri Ratchagit
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Number of paper pages: 11
Abstract: This paper studies the stabilization of the infinite-dimensional linear time-varying system with state delays ÿx = A(t)x + A1(t)x(t − h) + B(t)u . The operator A(t) is assumed to be the generator of a strong evolution operator. In contrast to the previous results, the stabilizability conditions are obtained via solving a Riccati differential equation and do not involve any stability property of the evolution operator. Our conditions are easy to construct and to verify. We provide a step-by-step procedure for finding feedback controllers and state stability conditions for some linear delay control systems with nonlinear perturbations.
Keywords: Stabilization, time-varying, delay system, Riccati equation.
EXTENSION of the file: .pdf
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