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Volumn 64, Issue 4, 1996, Pages 707-719

Necessary and sufficient conditions for the existence of a Lyapunov function with ‘a quadratic form plus an integral term’

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; CONTROL NONLINEARITIES; LYAPUNOV METHODS; NUMERICAL METHODS; RICCATI EQUATIONS;

EID: 0030190623     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921651     Document Type: Article
Times cited : (7)

References (10)
  • 1
    • 0003728853 scopus 로고
    • (San Francisco, California, L'.S.A.: Holden-Day); Translation of 1963, Absoliutnaia ustoichivost’ reguhruemykh sislem (Moscow: Akademii Nauk)
    • Aizerman, M. A., and Gantmakher, F. R., 1964, Absolute Stability of Control Systems (San Francisco, California, L'.S.A.: Holden-Day); Translation of 1963, Absoliutnaia ustoichivost’ reguhruemykh sislem (Moscow: Akademii Nauk).
    • (1964) Absolute Stability of Control Systems
    • Aizerman, M.A.1    Gantmakher, F.R.2
  • 2
    • 84947822567 scopus 로고
    • Proof of the circle criterion for stale space systems via quadratic Lyapunov functions-Part 1.
    • Curran, P. F., 1993a, Proof of the circle criterion for stale space systems via quadratic Lyapunov functions-Part 1. International Journal of Control, 57, 921-955; 1993
    • (1993) International Journal of Control , vol.57 , pp. 921-955
    • Curran, P.F.1
  • 3
    • 0028465673 scopus 로고
    • Necessary and sufficient condition for absolute Stability of neural networks
    • Forti, M., Manetti, S., and Marini, M., 1994, Necessary and sufficient condition for absolute Stability of neural networks. IEEE Transactions on Circuits and Systems, 41, 491-494.
    • (1994) IEEE Transactions on Circuits and Systems , vol.41 , pp. 491-494
    • Forti, M.1    Manetti, S.2    Marini, M.3
  • 4
    • 0003612363 scopus 로고
    • Mathematics in Science and Engineering, New York: Academic Press
    • Lefschetz, S., 1965, Stability of Nonlinear Control Systems, Mathematics in Science and Engineering, Vol. 13 (New York: Academic Press).
    • (1965) Stability of Nonlinear Control Systems , pp. 13
    • Lefschetz, S.1
  • 6
    • 0003220804 scopus 로고
    • On the existence of Liapunov functions for the problem of Lurie
    • Meyer, K. R., 1966, On the existence of Liapunov functions for the problem of Lurie. SIAM Journal on Control and Optimization, 3, 373-383.
    • (1966) SIAM Journal on Control and Optimization , vol.3 , pp. 373-383
    • Meyer, K.R.1
  • 8
    • 0029308446 scopus 로고
    • Necessary and sufficient conditions for the existence of a G-type Lyapunov function
    • Xiong, K. Q., 1995, Necessary and sufficient conditions for the existence of a G-type Lyapunov function. Aulomatica, 31, 787-791
    • (1995) Aulomatica , vol.31 , pp. 787-791
    • Xiong, K.Q.1
  • 10
    • 4243125268 scopus 로고
    • On the inconsistency of the S-procedure in the case of infinite sector angle of absolute stability
    • Zhao, S. X., 1986, On the inconsistency of the S-procedure in the case of infinite sector angle of absolute stability. Avlomat i Telemekh, 51, 171-173.
    • (1986) Avlomat I Telemekh , vol.51 , pp. 171-173
    • Zhao, S.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.