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Volumn 41, Issue 3, 1996, Pages 436-442

Affine parameter-dependent Lyapunov functions and real parametric uncertainty

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; NUMERICAL METHODS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); SET THEORY; TIME VARYING CONTROL SYSTEMS;

EID: 0030106702     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.486646     Document Type: Article
Times cited : (886)

References (40)
  • 2
    • 84987227234 scopus 로고
    • Branch and bound algorithm for computing the minimum stability degree of parameter-dependent linear systems
    • V. Balakrishnan, S. Boyd, and S. Balemi, "Branch and bound algorithm for computing the minimum stability degree of parameter-dependent linear systems," Int. J. Robust Nonlinear Contr., pp. 295-317, 1991.
    • (1991) Int. J. Robust Nonlinear Contr. , pp. 295-317
    • Balakrishnan, V.1    Boyd, S.2    Balemi, S.3
  • 4
    • 0022949017 scopus 로고
    • A new method for improvement of robustness bounds for linear state equations
    • Princeton University
    • B. R. Barmish and C. L. DeMarco, "A new method for improvement of robustness bounds for linear state equations," in Proc. Conf. Inform. Sci. Syst., Princeton University, 1986.
    • (1986) Proc. Conf. Inform. Sci. Syst.
    • Barmish, B.R.1    DeMarco, C.L.2
  • 5
    • 0024610765 scopus 로고
    • A generalization of Kharitonov's four polynomial concept for robustness stability problem with linearly dependent coefficient perturbations
    • B. R. Barmish, "A generalization of Kharitonov's four polynomial concept for robustness stability problem with linearly dependent coefficient perturbations," IEEE Trans. Automat. Contr., vol. 34, pp. 157-165, 1989.
    • (1989) IEEE Trans. Automat. Contr. , vol.34 , pp. 157-165
    • Barmish, B.R.1
  • 6
    • 0027205719 scopus 로고
    • A survey of extreme point results for robustness of control systems
    • B. R. Barmish, and H. I. Kang, "A survey of extreme point results for robustness of control systems," Automatica, vol. 29, pp. 13-35, 1993.
    • (1993) Automatica , vol.29 , pp. 13-35
    • Barmish, B.R.1    Kang, H.I.2
  • 7
    • 0024684650 scopus 로고
    • Structured and simultaneous Lyapunov functions for system stability problems
    • S. Boyd and Q. Yang, "Structured and simultaneous Lyapunov functions for system stability problems," Int. J. Contr., vol. 49, pp. 2215-2240, 1989.
    • (1989) Int. J. Contr. , vol.49 , pp. 2215-2240
    • Boyd, S.1    Yang, Q.2
  • 8
    • 43949163936 scopus 로고
    • Method of centers for minimizing generalized eigenvalues
    • S. P. Boyd and L. El Ghaoui, "Method of centers for minimizing generalized eigenvalues," Lin. Alg. Appl., vol. 188, pp. 63-111, 1993.
    • (1993) Lin. Alg. Appl. , vol.188 , pp. 63-111
    • Boyd, S.P.1    El Ghaoui, L.2
  • 10
    • 0024104520 scopus 로고
    • Kharitonov theorem revisited
    • S. Dasgupta, "Kharitonov theorem revisited," Syst. Contr. Lett., vol. 11, pp. 381-384, 1988.
    • (1988) Syst. Contr. Lett. , vol.11 , pp. 381-384
    • Dasgupta, S.1
  • 11
    • 0028377254 scopus 로고
    • Lyapunov functions for uncertain systems with applications to the stability of time varying systems
    • S. Dasgupta, G. Chockalingam, B. D. O. Anderson, and M. Fu, "Lyapunov functions for uncertain systems with applications to the stability of time varying systems," IEEE Trans. Circ. Syst., vol. 41, pp. 93-106, 1994.
    • (1994) IEEE Trans. Circ. Syst. , vol.41 , pp. 93-106
    • Dasgupta, S.1    Chockalingam, G.2    Anderson, B.D.O.3    Fu, M.4
  • 12
    • 0020203138 scopus 로고
    • Analysis of feedback systems with structured uncertainties
    • J. C. Doyle, "Analysis of feedback systems with structured uncertainties," IEE Proc., vol. 129, pt. D, pp. 242-250, 1982.
    • (1982) IEE Proc. , vol.129 , Issue.PART D , pp. 242-250
    • Doyle, J.C.1
  • 13
    • 0025747144 scopus 로고
    • Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
    • M. K. H. Fan, A. L. Tits, and J. C. Doyle, "Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics," IEEE Trans. Automat. Contr., vol. 36, pp. 25-38, 1991.
    • (1991) IEEE Trans. Automat. Contr. , vol.36 , pp. 25-38
    • Fan, M.K.H.1    Tits, A.L.2    Doyle, J.C.3
  • 14
    • 0030822356 scopus 로고    scopus 로고
    • 2 performance using multiplier theory
    • 2 performance using multiplier theory," to appear in SIAM J. Contr. Opt., 1996.
    • (1996) SIAM J. Contr. Opt.
    • Feron, E.1
  • 15
    • 0029178918 scopus 로고
    • S-Procedurc for the analysis of control systems with parametric uncertainties via parameter-dependent Lyapunov functions
    • E. Feron, P. Apkarian, and P. Gahinet, "S-Procedurc for the analysis of control systems with parametric uncertainties via parameter-dependent Lyapunov functions," in Proc. European Contr. Conf., 1995.
    • (1995) Proc. European Contr. Conf.
    • Feron, E.1    Apkarian, P.2    Gahinet, P.3
  • 16
    • 0027807540 scopus 로고
    • General-Purpose LMI solvers with benchmarks
    • P. Gahinet and A. Nemirovski, "General-Purpose LMI solvers with benchmarks," in Proc. Conf. Dec. Contr., 1993, pp. 3162-3165.
    • (1993) Proc. Conf. Dec. Contr. , pp. 3162-3165
    • Gahinet, P.1    Nemirovski, A.2
  • 20
    • 0027541559 scopus 로고
    • Stability robustness of interval matrices via Lyapunov quadratic forms
    • F. Garofalo, G. Celentano, and L. Glielmo, "Stability robustness of interval matrices via Lyapunov quadratic forms," IEEE Trans. Automat. Contr., vol. 38, pp. 281-284, 1993.
    • (1993) IEEE Trans. Automat. Contr. , vol.38 , pp. 281-284
    • Garofalo, F.1    Celentano, G.2    Glielmo, L.3
  • 21
    • 0017007748 scopus 로고
    • Regulators for linear time-varying plants with uncertain parameters
    • H. P. Horisberger and P. R. Belanger, "Regulators for linear time-varying plants with uncertain parameters," IEEE Trans. Automat. Contr., AC-21, pp. 705-708, 1976.
    • (1976) IEEE Trans. Automat. Contr. , vol.AC-21 , pp. 705-708
    • Horisberger, H.P.1    Belanger, P.R.2
  • 22
    • 0027834861 scopus 로고
    • Connection between the Popov stability criterion and bounds for real parameter uncertainty
    • J. P. How and S. R. Hall, "Connection between the Popov stability criterion and bounds for real parameter uncertainty," in Proc. Amer. Contr. Conf., 1993, pp. 1084-1089.
    • (1993) Proc. Amer. Contr. Conf. , pp. 1084-1089
    • How, J.P.1    Hall, S.R.2
  • 23
    • 0028738368 scopus 로고
    • Systems with uncertain parameters: Time variations with bounded derivatives
    • U. Jonsson and A. Rantzer, "Systems with uncertain parameters: Time variations with bounded derivatives," in Proc. Conf. Dec. Contr., 1994, pp. 3074-3079.
    • (1994) Proc. Conf. Dec. Contr. , pp. 3074-3079
    • Jonsson, U.1    Rantzer, A.2
  • 24
    • 0021170475 scopus 로고
    • On the control of linear systems whose coefficients are functions of parameters
    • E. Kamen and P. P. Khargonekar, "On the control of linear systems whose coefficients are functions of parameters," IEEE Trans. Automat. Contr., AC-29, pp. 25-33, 1984.
    • (1984) IEEE Trans. Automat. Contr. , vol.AC-29 , pp. 25-33
    • Kamen, E.1    Khargonekar, P.P.2
  • 26
    • 0001725231 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • V. L. Kharitonov, "Asymptotic stability of an equilibrium position of a family of systems of linear differential equations," Diferentsialjnie Uravnenia, vol. 14, pp. 2086-2088, 1978.
    • (1978) Diferentsialjnie Uravnenia , vol.14 , pp. 2086-2088
    • Kharitonov, V.L.1
  • 27
    • 5844359590 scopus 로고    scopus 로고
    • The projective method for solving linear matrix inequalities
    • to appear
    • A. Nemirovski and P. Gahinet, "The projective method for solving linear matrix inequalities," Math. Programming Series B, to appear;
    • Math. Programming Series B
    • Nemirovski, A.1    Gahinet, P.2
  • 30
    • 0025386095 scopus 로고
    • Quadratic stability with real and complex uncertainty
    • A. Packard and J. C. Doyle, "Quadratic stability with real and complex uncertainty," IEEE Trans. Automat. Contr., vol. 35, pp. 198-201, 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 198-201
    • Packard, A.1    Doyle, J.C.2
  • 32
    • 0025465289 scopus 로고
    • A new extension to Kharitonov's theorem
    • I. R. Petersen, "A new extension to Kharitonov's theorem," IEEE Trans. Automat. Contr., vol. 35, pp. 825-828, 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 825-828
    • Petersen, I.R.1
  • 33
    • 0028738444 scopus 로고
    • System analysis via integral quadratic constraints
    • A. Rantzer and A. Megretsky, "System analysis via integral quadratic constraints," in Proc. Conf. Dec. Contr., 1994, pp. 3062-3067.
    • (1994) Proc. Conf. Dec. Contr. , pp. 3062-3067
    • Rantzer, A.1    Megretsky, A.2
  • 34
    • 0019554791 scopus 로고
    • A multiloop generalization of the circle criterion for stability margins analysis
    • M. G. Safonov and M. Athans, "A multiloop generalization of the circle criterion for stability margins analysis," IEEE Trans. Automat. Contr., AC-26, pp. 415-422, 1981.
    • (1981) IEEE Trans. Automat. Contr. , vol.AC-26 , pp. 415-422
    • Safonov, M.G.1    Athans, M.2
  • 35
    • 84992421609 scopus 로고
    • m-Synthesis without curve fitting
    • C. T. Leondes, Ed. New York: Academic
    • m-Synthesis without curve fitting," in Contr. Dynamic Syst., vol. 56 (Part 2), C. T. Leondes, Ed. New York: Academic, 1993.
    • (1993) Contr. Dynamic Syst. , vol.56 , Issue.2 PART
    • Safonov, M.G.1    Chiang, R.Y.2
  • 36
    • 0025471561 scopus 로고
    • Analysis of nonlinear gain-scheduled control systems
    • J. Shamma and M. Athans, "Analysis of nonlinear gain-scheduled control systems," IEEE Trans. Automat. Contr., vol. 35, pp. 898-907 1990.
    • (1990) IEEE Trans. Automat. Contr. , vol.35 , pp. 898-907
    • Shamma, J.1    Athans, M.2
  • 37
    • 0015387297 scopus 로고
    • 2-Stability of linear time-varying systems - Conditions involving noncausal multipliers
    • 2-Stability of linear time-varying systems - conditions involving noncausal multipliers," IEEE Trans. Automat. Contr., AC-17, pp. 504-509 1972.
    • (1972) IEEE Trans. Automat. Contr. , vol.AC-17 , pp. 504-509
    • Sundareshnan, M.K.1    Thathachar, M.A.2
  • 38
    • 0029338589 scopus 로고
    • Primal-Dual potential reduction method for problems involving matrix inequalities
    • L. Vandenberghe and S. Boyd, "Primal-Dual potential reduction method for problems involving matrix inequalities," Math. Programming Series B, vol. 69, pp. 205-236, 1995.
    • (1995) Math. Programming Series B , vol.69 , pp. 205-236
    • Vandenberghe, L.1    Boyd, S.2
  • 39
    • 84938017582 scopus 로고
    • On the input-output stability of time-varying nonlinear feedback systems, Parts I and II
    • G. Zames, "On the input-output stability of time-varying nonlinear feedback systems, Parts I and II," IEEE Trans. Automat. Contr., AC-11, pp. 228-238 and 465-476, 1966.
    • (1966) IEEE Trans. Automat. Contr. , vol.AC-11 , pp. 228-238
    • Zames, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.