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Volumn 67, Issue 11, 2006, Pages 1847-1861

The D-decomposition technique for linear matrix inequalities

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; NUMBER THEORY; PARAMETER ESTIMATION; PROBLEM SOLVING; THEOREM PROVING;

EID: 33751502452     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117906110063     Document Type: Article
Times cited : (14)

References (18)
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    • (1962) Dokl. Akad. Nauk SSSR , vol.143 , Issue.6 , pp. 1304-1307
    • Yakubovich, V.A.1
  • 2
    • 0000976646 scopus 로고
    • The method of matrix inequalities in the stability theory of nonlinear control systems. i
    • Yakubovich, V.A., The Method of Matrix Inequalities in the Stability Theory of Nonlinear Control Systems. I, Avtom. Telemekh., 1964, no. 7, pp. 1017-1029.
    • (1964) Avtom. Telemekh. , Issue.7 , pp. 1017-1029
    • Yakubovich, V.A.1
  • 3
    • 0013305199 scopus 로고
    • The method of matrix inequalities in the stability theory of nonlinear control systems. II
    • Yakubovich, V.A., The Method of Matrix Inequalities in the Stability Theory of Nonlinear Control Systems. II, Avtom. Telemekh., 1965, no. 4, pp. 577-590.
    • (1965) Avtom. Telemekh. , Issue.4 , pp. 577-590
    • Yakubovich, V.A.1
  • 4
    • 0003197698 scopus 로고
    • The method of matrix inequalities in the stability theory of nonlinear control systems. III
    • Yakubovich, V.A., The Method of Matrix Inequalities in the Stability Theory of Nonlinear Control Systems. III, Avtom. Telemekh., 1965, no. 5, pp. 753-763.
    • (1965) Avtom. Telemekh. , Issue.5 , pp. 753-763
    • Yakubovich, V.A.1
  • 6
    • 0001240101 scopus 로고
    • Numerical methods of lyapunov matrix construction and their application to the absolute stability problem
    • Pyatnitskii, E.S. and Skorodinskii, V.I., Numerical Methods of Lyapunov Matrix Construction and Their Application to the Absolute Stability Problem, Syst. Control Lett., 1982, vol. 2, no. 2, pp. 130-135.
    • (1982) Syst. Control Lett. , vol.2 , Issue.2 , pp. 130-135
    • Pyatnitskii, E.S.1    Skorodinskii, V.I.2
  • 12
    • 27844579197 scopus 로고    scopus 로고
    • Stability regions in the parameter space: D-decomposition revisited
    • Gryazina, E.N. and Polyak, B.T., Stability Regions in the Parameter Space: D-decomposition Revisited, Automatica, 2006, vol. 42, pp. 13-26.
    • (2006) Automatica , vol.42 , pp. 13-26
    • Gryazina, E.N.1    Polyak, B.T.2
  • 13
    • 14544289650 scopus 로고    scopus 로고
    • Random walks for probabilistic robustness
    • Bahamas
    • Calafiore, G., Random Walks for Probabilistic Robustness, Proc. 43rd Conf. Decision Control, Bahamas, 2004, pp. 5316-5321.
    • (2004) Proc. 43rd Conf. Decision Control , pp. 5316-5321
    • Calafiore, G.1
  • 14
    • 0032252302 scopus 로고    scopus 로고
    • Robust solutions to uncertain semidefinite programs
    • El Ghaoui, L., Oustry, F., and Lebret, H., Robust Solutions to Uncertain Semidefinite Programs, SIAM J. Optimiz., 1998, vol. 9, no. 1, pp. 33-52.
    • (1998) SIAM J. Optimiz. , vol.9 , Issue.1 , pp. 33-52
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  • 15
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    • On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty
    • Ben-Tal, A. and Nemirovski, A., On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty, SIAM J. Optimiz., 2002, vol. 12, no. 3, pp. 811-833.
    • (2002) SIAM J. Optimiz. , vol.12 , Issue.3 , pp. 811-833
    • Ben-Tal, A.1    Nemirovski, A.2
  • 16
    • 2942690830 scopus 로고    scopus 로고
    • Robust linear algebra and robust aperiodicity
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    • Polyak, B.T., Robust Linear Algebra and Robust Aperiodicity, in Directions in Mathematical Systems Theory and Optimization, Rantzer, A. and Byrnes, C.I., Eds., New York: Springer, 2003, pp. 249-260.
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  • 17
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    • Numerical linear algebra
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  • 18
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    • Polyak, B.T., convexity of Quadratic Transformations and Its Use in Control and Optimization, J. Optimiz. Theory Appl., 1998, vol. 99, no. 3, pp. 553-583.
    • (1998) J. Optimiz. Theory Appl. , vol.99 , Issue.3 , pp. 553-583
    • Polyak, B.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.