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Volumn 1, Issue , 2002, Pages 287-292

An LMI method to demonstrate simultaneous stability using non-quadratic polynomial Lyapunov functions

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL SYSTEMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING;

EID: 0036990729     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (28)

References (10)
  • 1
    • 0001020392 scopus 로고
    • Method of power transformations for analysis and stability of nonlinear control systems
    • Barkin, A., and Zelentsovsky, A., "Method of power transformations for analysis and stability of nonlinear control systems," Systems and Control Letters, vol. 3, pp. 303-310, 1983.
    • (1983) Systems and Control Letters , vol.3 , pp. 303-310
    • Barkin, A.1    Zelentsovsky, A.2
  • 2
    • 0001559061 scopus 로고
    • A quadratic form representation of polynomials of several variables and its applications
    • Bose, N., Li, C., "A quadratic form representation of polynomials of several variables and its applications," IEEE Transactions on Automatic Control, vol. 13, no. 8, pp. 447-448, 1968.
    • (1968) IEEE Transactions on Automatic Control , vol.13 , Issue.8 , pp. 447-448
    • Bose, N.1    Li, C.2
  • 4
    • 0000871389 scopus 로고
    • Lie algebras and Lie groups in control theory
    • Mayne, D.Q. and Brockett, R.W., Eds. Dordrecht: Reidel
    • Brockett, R. W., "Lie algebras and Lie groups in control theory," Geometric Methods in System Theory. Mayne, D.Q. and Brockett, R.W., Eds. Dordrecht: Reidel, pp. 213-225, 1973.
    • (1973) Geometric Methods in System Theory , pp. 213-225
    • Brockett, R.W.1
  • 6
    • 0003406070 scopus 로고    scopus 로고
    • Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
    • Ph. D. Thesis, Control and Dynamical Systems, Caltech, Pasadena, May
    • Parrilo, P., "Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization." Ph. D. Thesis, Control and Dynamical Systems, Caltech, Pasadena, May 2000.
    • (2000)
    • Parrilo, P.1
  • 7
    • 0032064831 scopus 로고    scopus 로고
    • An algorithm for sums of squares of real polynomials
    • Powers, V., Wörmann, T., "An algorithm for sums of squares of real polynomials," Journal of Pure and Applied Algebra, vol. 127, pp. 99-104, 1998.
    • (1998) Journal of Pure and Applied Algebra , vol.127 , pp. 99-104
    • Powers, V.1    Wörmann, T.2
  • 8
    • 0001240101 scopus 로고
    • Numerical methods of Lyapunov functions construction and their application to the absolute stability problem
    • Piatnitskiy, E.S., Skorodinskiy, V.I., "Numerical Methods of Lyapunov Functions Construction and their Application to the Absolute Stability Problem," Systems and Controls Letters vol. 2, pp.130-135, 1982.
    • (1982) Systems and Controls Letters , vol.2 , pp. 130-135
    • Piatnitskiy, E.S.1    Skorodinskiy, V.I.2
  • 9
    • 0001360697 scopus 로고    scopus 로고
    • Piecewise Lyapunov functions for robust stability of linear time-varying systems
    • Xie, L., Shishkin, S., Fu, M., "Piecewise Lyapunov functions for robust stability of linear time-varying systems," Systems & Controls Letters, vol. 31, pp. 165-171, 1997.
    • (1997) Systems & Controls Letters , vol.31 , pp. 165-171
    • Xie, L.1    Shishkin, S.2    Fu, M.3
  • 10
    • 0028282375 scopus 로고
    • Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
    • Zelentsovsky, A.L., "Nonquadratic Lyapunov Functions for Robust Stability Analysis of Linear Uncertain Systems," IEEE Transactions on Automatic Control, vol. 39, no. 1, pp.135-138, 1994.
    • (1994) IEEE Transactions on Automatic Control , vol.39 , Issue.1 , pp. 135-138
    • Zelentsovsky, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.