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Volumn 48, Issue 4, 2003, Pages 665-670

Stability of systems with several monotone nonlinearities

Author keywords

Absolute stability; Frequency domain inequalities; Monotone nonlinearities

Indexed keywords

ASYMPTOTIC STABILITY; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NEURAL NETWORKS; TRANSFER FUNCTIONS; VECTORS;

EID: 0037396258     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.809881     Document Type: Article
Times cited : (2)

References (12)
  • 1
    • 0013305199 scopus 로고
    • Method of matrix inequalities in the theory of stability of nonlinear feedback systems. II. Absolute stability in the class of nonlinearities with conditions on derivative
    • V. A. Yakubovich, "Method of matrix inequalities in the theory of stability of nonlinear feedback systems. II. Absolute stability in the class of nonlinearities with conditions on derivative," Automat. Rem. Control, vol. 26, no. 4, pp. 577-600, 1965.
    • (1965) Automat. Rem. Control , vol.26 , Issue.4 , pp. 577-600
    • Yakubovich, V.A.1
  • 2
    • 84937742969 scopus 로고
    • An off axis stability criterion for a stability of systems with a monotonic nonlinearity
    • Aug.
    • Y. S. Cho and K. S. Narendra, "An off axis stability criterion for a stability of systems with a monotonic nonlinearity," IEEE Trans. Automat. Contr., vol. AC-13, pp. 413-416, Aug. 1968.
    • (1968) IEEE Trans. Automat. Contr. , vol.AC-13 , pp. 413-416
    • Cho, Y.S.1    Narendra, K.S.2
  • 3
    • 0000650240 scopus 로고
    • On the stability of systems with monotone and odd monotone nonlinearities
    • Feb.
    • G. Zames and P. L. Falb, "On the stability of systems with monotone and odd monotone nonlinearities," IEEE Trans. Automat. Contr., vol. AC-12, pp. 221-223, Feb. 1967.
    • (1967) IEEE Trans. Automat. Contr. , vol.AC-12 , pp. 221-223
    • Zames, G.1    Falb, P.L.2
  • 4
    • 0001051651 scopus 로고
    • An improved frequency-time domain stability criterion for autonomous continuos systems
    • Dec.
    • R. P. O'Shea, "An improved frequency-time domain stability criterion for autonomous continuos systems," IEEE Trans. Automat. Contr., vol. AC-12, pp. 725-731, Dec. 1967.
    • (1967) IEEE Trans. Automat. Contr. , vol.AC-12 , pp. 725-731
    • O'Shea, R.P.1
  • 5
    • 0001963446 scopus 로고
    • Frequency domain criteria for stability and instability in the large of the stationary sets of nonlinear systems of differential equations with a monotone nonlinearity
    • N. E. Barabanov, "Frequency domain criteria for stability and instability in the large of the stationary sets of nonlinear systems of differential equations with a monotone nonlinearity," Siberian Math. J., vol. 27, no. 2, pp. 21-34, 1987.
    • (1987) Siberian Math. J. , vol.27 , Issue.2 , pp. 21-34
    • Barabanov, N.E.1
  • 6
    • 0013190616 scopus 로고
    • New criteria for absolute stability of automatic control systems with a differentiable nonlinearity
    • _, "New criteria for absolute stability of automatic control systems with a differentiable nonlinearity," Doklady Akademii Nauk SSSR, vol. 299, no. 3, pp. 570-572, 1988.
    • (1988) Doklady Akademii Nauk SSSR , vol.299 , Issue.3 , pp. 570-572
  • 7
    • 0009364683 scopus 로고
    • On the Kalman conjecture
    • _, "On the Kalman conjecture," Siberian Math. J., vol. 28, no. 3, pp. 3-11, 1988.
    • (1988) Siberian Math. J. , vol.28 , Issue.3 , pp. 3-11
  • 8
    • 0033100708 scopus 로고    scopus 로고
    • Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities
    • Mar.
    • Y.-C Chu and K. Glover, "Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities," IEEE Trans. Automat. Contr., vol. 44, pp. 471-483, Mar. 1999.
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 471-483
    • Chu, Y.-C.1    Glover, K.2
  • 9
    • 0033285599 scopus 로고    scopus 로고
    • Integral quadratic constraints for monotonic and slope restricted diagonal operators
    • San Diego, CA
    • F. J. D'Amato, A. Megretski, U. Jonsson, and M. A. Rotea, "Integral quadratic constraints for monotonic and slope restricted diagonal operators," in Proc. 1999 Amer. Control Conf., San Diego, CA, 1999, pp. 2375-2379.
    • (1999) Proc. 1999 Amer. Control Conf. , pp. 2375-2379
    • D'Amato, F.J.1    Megretski, A.2    Jonsson, U.3    Rotea, M.A.4
  • 10
    • 0034272982 scopus 로고    scopus 로고
    • Zames-Falb multipliers for MIMO nonlinearities
    • M. Safonov and V. Kulkarni, "Zames-Falb multipliers for MIMO nonlinearities," Int. J. Robust Nonlinear Control, vol. 10, no. 11/12, pp. 1025-1038, 2000.
    • (2000) Int. J. Robust Nonlinear Control , vol.10 , Issue.11-12 , pp. 1025-1038
    • Safonov, M.1    Kulkarni, V.2
  • 11
    • 0000442856 scopus 로고
    • Frequency theorem in the control theory
    • V. A. Yakubovich, "Frequency theorem in the control theory," Siberian Math. J., no. 2, pp. 384-420, 1973.
    • (1973) Siberian Math. J. , Issue.2 , pp. 384-420
    • Yakubovich, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.