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Novel delay-derivative-dependent stability criteria using new bounding techniques

หน่วยงาน Central Queensland University, Australia

รายละเอียด

ชื่อเรื่อง : Novel delay-derivative-dependent stability criteria using new bounding techniques
นักวิจัย : Zhang, Xian-Ming. , Han, Qing-Long.
คำค้น : LIBRARY OF CONGRESS NEEDED , Pure basic research. , 970101 Expanding Knowledge in the Mathematical Sciences. , 010203 Calculus of Variations, Systems Theory and Control Theory. , Interval time-varying delay -- Bounding techniques -- Integral inequalities , Journal Article. Refereed, Scholarly Journal
หน่วยงาน : Central Queensland University, Australia
ผู้ร่วมงาน : -
ปีพิมพ์ : 2556
อ้างอิง : http://hdl.cqu.edu.au/10018/1018968
ที่มา : Zhang, X & Han, Q 2013, 'Novel delay-derivative-dependent stability criteria using new bounding techniques', International Journal of Robust and Nonlinear Control, vol. 23, no.13, pp. 1419-1432, http://dx.doi.org/10.1002/rnc.2829
ความเชี่ยวชาญ : -
ความสัมพันธ์ : International journal of robust and nonlinear control. United Kingdom : John Wiley and Sons, 2013. Vol. 23, no.13 (2013), p. 1419-1432 14 pages Refereed 1049-8923 1099-1239 (online) , ACQUIRE [electronic resource] : Central Queensland University Institutional Repository.
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

This paper studies the stability of linear systems with interval time-varying delays. By constructing a new Lyapunov-Krasovskii functional, two delay-derivative-dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov-Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach. When applying these two stability criteria to check the stability of a linear system with an interval time-varying delay, it is shown through some numerical examples that the first stability criterion can provide a larger upper bound of the time-varying delay than the second stability criterion.

บรรณานุกรม :
Zhang, Xian-Ming. , Han, Qing-Long. . (2556). Novel delay-derivative-dependent stability criteria using new bounding techniques.
    กรุงเทพมหานคร : Central Queensland University, Australia.
Zhang, Xian-Ming. , Han, Qing-Long. . 2556. "Novel delay-derivative-dependent stability criteria using new bounding techniques".
    กรุงเทพมหานคร : Central Queensland University, Australia.
Zhang, Xian-Ming. , Han, Qing-Long. . "Novel delay-derivative-dependent stability criteria using new bounding techniques."
    กรุงเทพมหานคร : Central Queensland University, Australia, 2556. Print.
Zhang, Xian-Ming. , Han, Qing-Long. . Novel delay-derivative-dependent stability criteria using new bounding techniques. กรุงเทพมหานคร : Central Queensland University, Australia; 2556.