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Volumn 312, Issue , 2005, Pages 87-101

An LMI-based technique for robust stability analysis of linear systems with polynomial parametric uncertainties

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; UNCERTAINTY ANALYSIS;

EID: 33947523985     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/10997703_5     Document Type: Article
Times cited : (4)

References (19)
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  • 2
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    • Šiljak, D.D.1
  • 5
    • 0017007748 scopus 로고
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    • (1976) IEEE Trans. on Automatic Control , vol.21 , pp. 705-708
    • Horisberger, H.P.1    Belanger, P.R.2
  • 9
    • 0033308137 scopus 로고    scopus 로고
    • Parameter dependent Lyapunov functions for a class of uncertain linear systems: A LMI approach
    • Phoenix, Arizona
    • A. Trofino (1999). Parameter dependent Lyapunov functions for a class of uncertain linear systems: a LMI approach. Proc. IEEE Conf. on Decision and Control, 2341-2346, Phoenix, Arizona.
    • (1999) Proc. IEEE Conf. on Decision and Control , pp. 2341-2346
    • Trofino, A.1
  • 10
    • 0036531228 scopus 로고    scopus 로고
    • An LMI approach to compute robust stability domains for uncertain linear systems
    • D. C. W. Ramos and P. L. D. Peres (2002). An LMI approach to compute robust stability domains for uncertain linear systems. IEEE Trans. on Automatic Control, 47:675-678.
    • (2002) IEEE Trans. on Automatic Control , vol.47 , pp. 675-678
    • Ramos, D.C.W.1    Peres, P.L.D.2
  • 11
    • 0037353008 scopus 로고    scopus 로고
    • An improved LMI condition for robust 23-stability of uncertain polytopic systems
    • V. J. S. Leite and P. L. D. Peres (2003). An improved LMI condition for robust 23-stability of uncertain polytopic systems. IEEE Trans. on Automatic Control, 48(3):500-504.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , Issue.3 , pp. 500-504
    • Leite, V.J.S.1    Peres, P.L.D.2
  • 12
    • 1542380049 scopus 로고    scopus 로고
    • Robust stability for polytopic systems via polynomially parameter-dependent Lyapunov functions
    • Maui, Hawaii
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino (2003). Robust stability for polytopic systems via polynomially parameter-dependent Lyapunov functions. Proc. IEEE Conf. on Decision and Control, Maui, Hawaii.
    • (2003) Proc. IEEE Conf. on Decision and Control
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 13
    • 0000871389 scopus 로고
    • Lie algebra and Lie groups in control theory
    • D.Q. Mayne and R.W. Brockett Editors, Dordrecht, Reidel
    • R. W. Brockett (1973). Lie algebra and Lie groups in control theory. In D.Q. Mayne and R.W. Brockett (Editors). Geometric Methods in Systems Theory, 43-82, Dordrecht, Reidel.
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    • Brockett, R.W.1
  • 15
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    • Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization. PhD thesis, California Institute of Technology
    • P. A. Parrilo (2000). Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization. PhD thesis, California Institute of Technology.
    • (2000)
    • Parrilo, P.A.1
  • 19
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
    • J. F. Sturm (1999). Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, 11-12:625-653.
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    • Sturm, J.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.