메뉴 건너뛰기




Volumn 34, Issue 4, 1989, Pages 435-443

Smooth Stabilization Implies Coprime Factorization

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--STATE SPACE METHODS; SYSTEM STABILITY--LYAPUNOV METHODS;

EID: 0024647058     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.28018     Document Type: Article
Times cited : (2175)

References (33)
  • 1
    • 0022661079 scopus 로고
    • Local stabilization and bifurcation control, I Hopf bifurcation
    • E. H. Abed and J.-H. Fu, “Local stabilization and bifurcation control, I Hopf bifurcation,” Syst. Contr. Lett., vol. 7, pp. 11-17, 1981.
    • (1981) Syst. Contr. Lett. , vol.7 , pp. 11-17
    • Abed, E.H.1    Fu, J.-H.2
  • 2
    • 0022046289 scopus 로고
    • Stabilization of a class of nonlinear systems by a smooth feedback control
    • D. Aeyels, “Stabilization of a class of nonlinear systems by a smooth feedback control,” Syst. Contr. Lett., vol. 5, pp. 289-294, 1985.
    • (1985) Syst. Contr. Lett. , vol.5 , pp. 289-294
    • Aeyels, D.1
  • 3
    • 0020848962 scopus 로고
    • Stabilization with relaxed controls
    • Z. Artstein, “Stabilization with relaxed controls,” Nonl. Anal., TM vol. 7, pp. 1163-1173, 1983.
    • (1983) Nonl. Anal., TM , vol.7 , pp. 1163-1173
    • Artstein, Z.1
  • 4
    • 0024142601 scopus 로고
    • Minimal polynomial realizations
    • Z. Bartosiewicz, “Minimal polynomial realizations,” Math. Contr., Signals, Syst., vol. 1, pp. 227-238, 1988.
    • (1988) Math. Contr., Signals, Syst. , vol.1 , pp. 227-238
    • Bartosiewicz, Z.1
  • 5
    • 0000198443 scopus 로고
    • Feedback invariants for nonlinear systems
    • Helsinki, Finland
    • R. W. Brockett, “Feedback invariants for nonlinear systems,” presented at the IFAC Congress, Helsinki, Finland, 1978.
    • (1978) presented at the IFAC Congress
    • Brockett, R.W.1
  • 6
    • 0001215663 scopus 로고
    • Asymptotic stability and feedback stabilization
    • R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. Boston, MA: Birkhauser
    • —, “Asymptotic stability and feedback stabilization,” in Differential Geometric Control Theory, R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. Boston, MA: Birkhauser, 1983.
    • (1983) Differential Geometric Control Theory
  • 7
    • 84941867402 scopus 로고
    • Stabilization of nonlinear control systems: The role of Newton diagrams
    • A.S.U.
    • P. E. Crouch, and I. S. Ighneiwa, “Stabilization of nonlinear control systems: The role of Newton diagrams,” preprint, A.S.U., 1987.
    • (1987) preprint
    • Crouch, P.E.1    Ighneiwa, I.S.2
  • 8
    • 84941858463 scopus 로고
    • Right factorization of a class of time varying nonlinear systems
    • Berkeley, CA
    • C. A. Desoer and M. G. Kabuli, “Right factorization of a class of time varying nonlinear systems,” Memo UCB ERL M87/55, Berkeley, CA, 1987.
    • (1987) Memo UCB ERL M87/55
    • Desoer, C.A.1    Kabuli, M.G.2
  • 9
    • 0023573587 scopus 로고
    • Nonlinear plants, factorizations, and stable feedback systems
    • Los Angeles, CA, Dec.
    • —, “Nonlinear plants, factorizations, and stable feedback systems,” in Proc. IEEE Conf. Decision Contr., Los Angeles, CA, Dec. 1987, pp. 155-156.
    • (1987) Proc. IEEE Conf. Decision Contr. , pp. 155-156
  • 10
    • 84909765721 scopus 로고
    • Nonlinear systems: Stability and rationality
    • J. Hammer, “Nonlinear systems: Stability and rationality,” Int. J. Contr., vol. 40, pp. 1-35, 1984.
    • (1984) Int. J. Contr. , vol.40 , pp. 1-35
    • Hammer, J.1
  • 11
    • 0021531983 scopus 로고
    • On nonlinear systems, additive feedback, and rationality
    • —, “On nonlinear systems, additive feedback, and rationality,” Int. J. Contr., vol. 40, pp. 953-969, 1984.
    • (1984) Int. J. Contr. , vol.40 , pp. 953-969
  • 12
    • 0023399772 scopus 로고
    • Fraction representations of nonlinear systems: A simplified approach
    • —, “Fraction representations of nonlinear systems: A simplified approach,” Int. J. Contr., vol. 46, pp. 455-472, 1987.
    • (1987) Int. J. Contr. , vol.46 , pp. 455-472
  • 14
    • 0002585384 scopus 로고
    • Design for multi-input nonlinear systems
    • R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. Boston, MA: Birkhauser
    • L. R. Hunt, R. Su, and G. Meyer, “Design for multi-input nonlinear systems,” in Differential Geometric Control Theory, R. W. Brockett, R. S. Millman, and H. J. Sussmann, Eds. Boston, MA: Birkhauser, 1983.
    • (1983) Differential Geometric Control Theory
    • Hunt, L.R.1    Su, R.2    Meyer, G.3
  • 15
    • 0024048772 scopus 로고
    • Local stabilization of minimum-phase nonlinear systems
    • A. Isidori and C. I. Byrnes, “Local stabilization of minimum-phase nonlinear systems,” Syst. Contr. Lett., vol. 11, pp. 9-17, 1988.
    • (1988) Syst. Contr. Lett. , vol.11 , pp. 9-17
    • Isidori, A.1    Byrnes, C.I.2
  • 17
    • 0001374626 scopus 로고
    • Controllability and stability.
    • V. Jurdjevic and J. P. Quinn, “Controllability and stability.” J. Diff. Equations, vol. 27, pp. 381-389, 1978.
    • (1978) J. Diff. Equations , vol.27 , pp. 381-389
    • Jurdjevic, V.1    Quinn, J.P.2
  • 18
    • 0020140261 scopus 로고
    • On the relation between stable matrix fraction decompositions and regulable realizations of systems over rings
    • P. P. Khargonekar and E. D. Sontag, “On the relation between stable matrix fraction decompositions and regulable realizations of systems over rings,” IEEE Trans. Automat. Contr., vol. AC-27, pp. 627-638, 1982.
    • (1982) IEEE Trans. Automat. Contr. , vol.AC-27 , pp. 627-638
    • Khargonekar, P.P.1    Sontag, E.D.2
  • 19
    • 0040907269 scopus 로고
    • Adaptive techniques for mechanical systems
    • Yale Univ., New Haven, CT
    • D. E. Koditschek, “Adaptive techniques for mechanical systems,” in Proc. 5th Yale Workshop on Adaptive Syst., Yale Univ., New Haven, CT, 1987, pp. 259-265.
    • (1987) Proc. 5th Yale Workshop on Adaptive Syst. , pp. 259-265
    • Koditschek, D.E.1
  • 20
    • 33244474752 scopus 로고
    • Nonlinear controller design via approximate normal forms
    • Minneapolis, MN, June-Aug. Institute for Mathematics and its Applications
    • A. J. Krener, “Nonlinear controller design via approximate normal forms,” in Proc. IMA Conf. on Signal Processing, Minneapolis, MN, June-Aug. 1988, Institute for Mathematics and its Applications, 1989.
    • (1989) Proc. IMA Conf. on Signal Processing
    • Krener, A.J.1
  • 21
    • 0002585302 scopus 로고
    • On the inversion of Lyapunov’s second theorem on stability of motion
    • Ser. 2
    • J. Kurzweil, “On the inversion of Lyapunov’s second theorem on stability of motion,” Amer. Math. Soc. Transl., Ser. 2, vol. 24, pp. 19-77, 1956.
    • (1956) Amer. Math. Soc. Transl. , vol.24 , pp. 19-77
    • Kurzweil, J.1
  • 22
    • 0023826261 scopus 로고
    • Remarks on smooth feedback stabilization of nonlinear systems
    • K. K. Lee and A. Arapostathis, “Remarks on smooth feedback stabilization of nonlinear systems,” Syst. Contr. Lett., vol. 10, pp. 41-44, 1988.
    • (1988) Syst. Contr. Lett. , vol.10 , pp. 41-44
    • Lee, K.K.1    Arapostathis, A.2
  • 23
    • 0000682499 scopus 로고
    • Contributions to stability theory
    • J. L. Massera, “Contributions to stability theory,” Anna. Math, vol. 64, pp. 182-206, 1956.
    • (1956) Anna. Math , vol.64 , pp. 182-206
    • Massera, J.L.1
  • 24
    • 0021499959 scopus 로고
    • A connection between state space and doubly coprime fractional representations
    • C. N. Nett, C. A. Jacobson, and M. J. Balas, “A connection between state space and doubly coprime fractional representations,” IEEE Trans. Automat. Contr., vol. AC-29, pp. 831-832, 1984.
    • (1984) IEEE Trans. Automat. Contr. , vol.AC-29 , pp. 831-832
    • Nett, C.N.1    Jacobson, C.A.2    Balas, M.J.3
  • 26
    • 0020749108 scopus 로고
    • A Lyapunov-like characterization of asymptotic controllability
    • —, “A Lyapunov-like characterization of asymptotic controllability,” SIAM J. Contr. Optimiz., vol. 21, pp. 462-471, 1983.
    • (1983) SIAM J. Contr. Optimiz. , vol.21 , pp. 462-471
  • 27
    • 84909726229 scopus 로고
    • Further facts about input to state stabilization
    • Rutgers Univ., New Brunswick, NJ, Rep. 88-15
    • —, “Further facts about input to state stabilization,’’ SYCON-Rutgers Center for Syst. Contr., Rutgers Univ., New Brunswick, NJ, Rep. 88-15, 1988.
    • (1988) SYCON-Rutgers Center for Syst. Contr.
  • 29
    • 84941863003 scopus 로고
    • Further comments on the stabilizability of the angular velocity of a rigid body
    • Rutgers Univ., Rep. 88-10
    • E. D. Sontag and H. J. Sussman, “Further comments on the stabilizability of the angular velocity of a rigid body,” SYCON—Rutgers Center for Syst. Contr., Rutgers Univ., Rep. 88-10, 1988.
    • (1988) SYCON—Rutgers Center for Syst. Contr.
    • Sontag, E.D.1    Sussman, H.J.2
  • 30
    • 0002967668 scopus 로고
    • Subanalytic sets and feedback control
    • H. J. Sussmann, “Subanalytic sets and feedback control,” J. Diff. Equations, vol. 31, pp. 31-52, 1979.
    • (1979) J. Diff. Equations , vol.31 , pp. 31-52
    • Sussmann, H.J.1
  • 31
    • 0005272692 scopus 로고
    • Bounded-input bounded-output stability of nonlinear time-varying systems
    • P. P. Varaiya and R. Liu, “Bounded-input bounded-output stability of nonlinear time-varying systems,” SIAM J. Contr., vol. 4, pp. 698-704, 1966.
    • (1966) SIAM J. Contr. , vol.4 , pp. 698-704
    • Varaiya, P.P.1    Liu, R.2
  • 32
    • 0038901217 scopus 로고
    • Stabilization of linear and nonlinear dynamical systems using an observer-controller configuration
    • N. Viswanadham and M. Vidyasagar, “Stabilization of linear and nonlinear dynamical systems using an observer-controller configuration,” Syst. Contr. Lett., vol. 1, pp. 87-91, 1981.
    • (1981) Syst. Contr. Lett. , vol.1 , pp. 87-91
    • Viswanadham, N.1    Vidyasagar, M.2
  • 33
    • 0002273902 scopus 로고
    • Realization theory of infinite dimensional linear systems, Parts 1 & II
    • 169—190
    • Y. Yamamoto, “Realization theory of infinite dimensional linear systems, Parts 1 & II,” Math Syst. Theory, vol. 15. pp. 55-77, 169—190, 1981.
    • (1981) Math Syst. Theory , vol.15 , pp. 55-77
    • Yamamoto, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.