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Volumn 77, Issue 1, 2004, Pages 1-8

A unifying framework for the SISO circle criterion and other quadratic stability criteria

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; THEOREM PROVING; TIME DOMAIN ANALYSIS;

EID: 0742269802     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170310001633321     Document Type: Article
Times cited : (55)

References (11)
  • 1
    • 0024684650 scopus 로고
    • Structured and simultaneous Lyapunov functions for system stability problems
    • BOYD, S., and YANG, Q., 1989, Structured and simultaneous Lyapunov functions for system stability problems. International Journal of Control, 49, 2215-2240.
    • (1989) International Journal of Control , vol.49 , pp. 2215-2240
    • Boyd, S.1    Yang, Q.2
  • 2
  • 3
    • 0003792312 scopus 로고
    • New Jersey: Prentice Hall
    • KAILATH, T., 1980, Linear Systems (New Jersey: Prentice Hall).
    • (1980) Linear Systems
    • Kailath, T.1
  • 4
    • 0000302024 scopus 로고
    • Lyapunov functions for the problem of Lur'e in automatic control
    • KALMAN, R., 1963, Lyapunov functions for the problem of Lur'e in automatic control. Proceedings of the National Academy of Sciences, 49, 201-205.
    • (1963) Proceedings of the National Academy of Sciences , vol.49 , pp. 201-205
    • Kalman, R.1
  • 6
    • 0003220804 scopus 로고
    • On the existence of Lyapunov functions for the problem of Lur'e
    • MEYER, K. R., 1966, On the existence of Lyapunov functions for the problem of Lur'e. SIAM Journal of Control, 3, 373-383.
    • (1966) SIAM Journal of Control , vol.3 , pp. 373-383
    • Meyer, K.R.1
  • 7
    • 0000440083 scopus 로고
    • A geometrical criterion for the stability of certain non-linear non-autonomous systems
    • NARENDRA, K., and GOLDWYN, R., 1964, A geometrical criterion for the stability of certain non-linear non-autonomous systems. IEEE Transactions on Circuit Theory, 11, 406-407.
    • (1964) IEEE Transactions on Circuit Theory , vol.11 , pp. 406-407
    • Narendra, K.1    Goldwyn, R.2
  • 8
    • 0036936621 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems
    • SHORTEN, R. N., and NARENDRA, K., 2002, Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems. International Journal of Adaptive Control and Signal Processing, 16, 709-728.
    • (2002) International Journal of Adaptive Control and Signal Processing , vol.16 , pp. 709-728
    • Shorten, R.N.1    Narendra, K.2
  • 11
    • 0345895724 scopus 로고
    • The circle criterion and quadratic Lyapunov functions for stability analysis
    • WILLEMS, J., 1973, The circle criterion and quadratic Lyapunov functions for stability analysis. IEEE Transactions on Automatic Control, 18, 184.
    • (1973) IEEE Transactions on Automatic Control , vol.18 , pp. 184
    • Willems, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.