메뉴 건너뛰기




Volumn 41, Issue 1, 1996, Pages 149-152

A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL NONLINEARITIES; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; MATRIX ALGEBRA; MULTIVARIABLE CONTROL SYSTEMS; OBSERVABILITY; STATE SPACE METHODS; TRANSFER FUNCTIONS;

EID: 0029733847     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.481622     Document Type: Article
Times cited : (62)

References (15)
  • 1
    • 0343233680 scopus 로고
    • The status of stability theory for deterministic systems
    • R. W. Brockett, "The status of stability theory for deterministic systems," IEEE Trans. Automat. Contr., vol. AC-12, pp. 596-606, 1967.
    • (1967) IEEE Trans. Automat. Contr. , vol.AC-12 , pp. 596-606
    • Brockett, R.W.1
  • 3
    • 33747070461 scopus 로고
    • Kinetic Lyapunov function for stability analysis of nonlinear control systems
    • S. S. L. Chang, "Kinetic Lyapunov function for stability analysis of nonlinear control systems," J. Basic Engineering, Trans. ASME, vol. 83-D, pp. 91-94, 1961.
    • (1961) J. Basic Engineering, Trans. ASME , vol.83 D , pp. 91-94
    • Chang, S.S.L.1
  • 4
    • 84987189283 scopus 로고
    • Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability Part II: Discrete-time theory
    • W. M. Haddad and D. S. Bernstein, "Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability Part II: Discrete-time theory," Int. J. Robust Nonlinear Contr., vol. 4, pp. 249-265, 1994.
    • (1994) Int. J. Robust Nonlinear Contr. , vol.4 , pp. 249-265
    • Haddad, W.M.1    Bernstein, D.S.2
  • 5
    • 0028448271 scopus 로고
    • Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis
    • _, "Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis," Automatica, vol. 30, pp. 1015-1021, 1994.
    • (1994) Automatica , vol.30 , pp. 1015-1021
  • 6
    • 0026238973 scopus 로고
    • Absolute stability of feedback systems with several differentiable nonlinearities
    • A. Halanay and V. Rasvan, "Absolute stability of feedback systems with several differentiable nonlinearities," Int. J. Syst. Sci., vol. 22, no. 10, pp. 1911-1927, 1991.
    • (1991) Int. J. Syst. Sci. , vol.22 , Issue.10 , pp. 1911-1927
    • Halanay, A.1    Rasvan, V.2
  • 7
    • 0000430077 scopus 로고
    • Discrete positive-real functions and their application to system stability
    • L. Hitz and B. D. O. Anderson, "Discrete positive-real functions and their application to system stability," Proc. IEE, vol. 116, pp. 153-155, 1969.
    • (1969) Proc. IEE , vol.116 , pp. 153-155
    • Hitz, L.1    Anderson, B.D.O.2
  • 8
    • 84938016608 scopus 로고
    • On the stability of a class of nonlinear sampled-data systems
    • E. I. Jury and B. W. Lee, "On the stability of a class of nonlinear sampled-data systems," IEEE Trans. Automat. Contr., vol. AC-9, pp. 51-61, 1964.
    • (1964) IEEE Trans. Automat. Contr. , vol.AC-9 , pp. 51-61
    • Jury, E.I.1    Lee, B.W.2
  • 9
    • 0003089514 scopus 로고
    • On the absolute stability of nonlinear sampled-data systems
    • _, "On the absolute stability of nonlinear sampled-data systems," IEEE Trans. Automat. Contr., vol. AC-9, pp. 551-554, 1964.
    • (1964) IEEE Trans. Automat. Contr. , vol.AC-9 , pp. 551-554
  • 10
    • 84987438982 scopus 로고
    • Control system analysis and design via the 'Second Method' of Lyapunov II. Discrete-time systems
    • R. E. Kalman and J. E. Bertram, "Control system analysis and design via the 'Second Method' of Lyapunov II. Discrete-time systems," J. Basic Engineering, Trans. ASME, vol. 82, pp. 394-400, 1960.
    • (1960) J. Basic Engineering, Trans. ASME , vol.82 , pp. 394-400
    • Kalman, R.E.1    Bertram, J.E.2
  • 11
    • 0010533454 scopus 로고
    • On the asymptotic stability of a class of saturating sampled-data systems
    • J. B. Pearson, Jr. and J. E. Gibson, "On the asymptotic stability of a class of saturating sampled-data systems," IEEE Trans. Appl. Ind., vol. 83, pp. 81-86, 1964.
    • (1964) IEEE Trans. Appl. Ind. , vol.83 , pp. 81-86
    • Pearson Jr., J.B.1    Gibson, J.E.2
  • 12
    • 0001328414 scopus 로고
    • Absolute stability of nonlinear systems of automatic control
    • V. M. Popov, "Absolute stability of nonlinear systems of automatic control," Automat. Remote Contr., vol. 21, pp. 857-875, 1962.
    • (1962) Automat. Remote Contr. , vol.21 , pp. 857-875
    • Popov, V.M.1
  • 13
    • 0015635028 scopus 로고
    • Algebraic criteria for positive realness relative to the unit circle
    • D. D. Siljak, "Algebraic criteria for positive realness relative to the unit circle," J. Franklin Inst., vol. 295, pp. 469-476, 1973.
    • (1973) J. Franklin Inst. , vol.295 , pp. 469-476
    • Siljak, D.D.1
  • 14
    • 0005498003 scopus 로고
    • On the absolute stability of sampled-data control systems
    • G. Szegö, "On the absolute stability of sampled-data control systems," Proc. Nat. Acad. Sci., vol. 49, pp. 558-560, 1963.
    • (1963) Proc. Nat. Acad. Sci. , vol.49 , pp. 558-560
    • Szegö, G.1
  • 15
    • 0005498002 scopus 로고
    • A criterion for absolute stability of automatic pulse systems with monotonic characteristics of the nonlinear element
    • Y. Z. Tsypkin, "A criterion for absolute stability of automatic pulse systems with monotonic characteristics of the nonlinear element," Sov. Phys.-Doklady, vol. 9, pp. 263-266, 1964.
    • (1964) Sov. Phys.-Doklady , vol.9 , pp. 263-266
    • Tsypkin, Y.Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.