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Volumn 35, Issue 5, 2004, Pages 305-315

ℋH2 guaranteed cost computation by means of parameter dependent Lyapunov functions

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; OPTIMIZATION; STATE SPACE METHODS; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

EID: 3142784250     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207720410001714842     Document Type: Article
Times cited : (25)

References (38)
  • 1
    • 0014476598 scopus 로고
    • Conditions for positive and nonnegative definiteness in terms of pseudoinverses
    • Albert, A., 1969, Conditions for positive and nonnegative definiteness in terms of pseudoinverses. SIAM Journal on Applied Mathematics, 17, 434-440.
    • (1969) SIAM Journal on Applied Mathematics , vol.17 , pp. 434-440
    • Albert, A.1
  • 2
    • 0022111023 scopus 로고
    • Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
    • Barmish, B. R., 1985, Necessary and sufficient conditions for quadratic stabilizability of an uncertain system. Journal of Optimization Theory and Applications, 46, 399-408.
    • (1985) Journal of Optimization Theory and Applications , vol.46 , pp. 399-408
    • Barmish B., R.1
  • 5
    • 0015384273 scopus 로고
    • Adaptive guaranteed cost control of systems with uncertain parameters
    • Chang, S. S. L., and Peng, T. K. C., 1972, Adaptive guaranteed cost control of systems with uncertain parameters, IEEE Transactions on Automatic Control, 17, 474-483.
    • (1972) IEEE Transactions on Automatic Control , vol.17 , pp. 474-483
    • Chang, S.S.L.1    Peng T. K., C.2
  • 7
    • 0001615805 scopus 로고    scopus 로고
    • Stability tests for constrained linear systems
    • S. O. Reza Moheimani (ed.), (New York: Springer)
    • De Oliveira, M. C., and Skelton, R. E., 2001, Stability tests for constrained linear systems. In S. O. Reza Moheimani (ed.), Perspectives in Robust Control (New York: Springer), pp. 241-257.
    • (2001) Perspectives in Robust Control , pp. 241-257
    • De Oliveira M., C.1    Skelton R., E.2
  • 9
    • 0032255609 scopus 로고    scopus 로고
    • Robust stability analysis for parameter-dependent systems using full block S-procedure
    • Tampa, FL, December
    • Dettori, M., and Scherer C. W., 1998, Robust stability analysis for parameter-dependent systems using full block S-procedure. In Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL, December, pp. 2798-2799.
    • (1998) Proceedings of the 37th IEEE Conference on Decision and Control , pp. 2798-2799
    • Dettori, M.1    Scherer C., W.2
  • 11
    • 0030195747 scopus 로고    scopus 로고
    • Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
    • Feron, E., Apkarian, P., and Gahinet, P., 1996, Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions, IEEE Transactions on Automatic Control, 41, 1041-1046.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , pp. 1041-1046
    • Feron, E.1    Apkarian, P.2    Gahinet, P.3
  • 12
    • 0030106702 scopus 로고    scopus 로고
    • Affine parameter-dependent Lyapunov functions and real parametric uncertainty
    • Gahinet, P., Apkarian, P., and Chilali, M., 1996, Affine parameter-dependent Lyapunov functions and real parametric uncertainty. IEEE Transactions of Automatic Control, 41, 436-442.
    • (1996) IEEE Transactions of Automatic Control , vol.41 , pp. 436-442
    • Gahinet, P.1    Apkarian, P.2    Chilali, M.3
  • 18
    • 0025430798 scopus 로고
    • Necessary and sufficient conditions of quadratic stability of uncertain linear systems
    • Gu, K., Zohdy, M. A., and Loh, N. K., 1990, Necessary and sufficient conditions of quadratic stability of uncertain linear systems. IEEE Transactions on Automatic Control, 35, 601-604.
    • (1990) IEEE Transactions on Automatic Control , vol.35 , pp. 601-604
    • Gu, K.1    Zohdy M., A.2    Loh N., K.3
  • 19
    • 3142750670 scopus 로고    scopus 로고
    • Parameter-dependent Lyapunov functions based on linear fractional transformations
    • Beijing, P. R. China, July, pp
    • Helmerson, A., 1999, Parameter-dependent Lyapunov functions based on linear fractional transformations. In Proceedings of the 14th IFAC World Congress, Beijing, P. R. China, July, pp. 537-542.
    • (1999) Proceedings of the 14th IFAC World Congress , pp. 537-542
    • Helmerson, A.1
  • 20
  • 21
    • 0032072577 scopus 로고    scopus 로고
    • Well-posedness of feedback systems: Insights into exact robustness analysis and approximative computations
    • Iwasaki, T., and Hara, S., 1998, Well-posedness of feedback systems: insights into exact robustness analysis and approximative computations. IEEE Transactions on Automatic Control, 43, 619-930.
    • (1998) IEEE Transactions on Automatic Control , vol.43 , pp. 619-930
    • Iwasaki, T.1    Hara, S.2
  • 22
    • 0035418306 scopus 로고    scopus 로고
    • LPV system analysis with quadratic separator for uncertain implicit systems
    • Iwasaki, T., and Shibata, G., 2001, LPV system analysis with quadratic separator for uncertain implicit systems. IEEE Transactions on Automatic Control, 46, 1195-1208.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 1195-1208
    • Iwasaki, T.1    Shibata, G.2
  • 26
    • 0030128938 scopus 로고    scopus 로고
    • Optimal guaranteed cost control of uncertain systems via static and dynamic output feedback
    • Moheimani, S. O. R., and Petersen, I. R., 1996a, Optimal guaranteed cost control of uncertain systems via static and dynamic output feedback. Automatica, 32, 575-579.
    • (1996) Automatica , vol.32 , pp. 575-579
    • Moheimani S. O., R.1    Petersen I., R.2
  • 29
    • 0035308212 scopus 로고    scopus 로고
    • Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions
    • Peaucelle, D., and Arzelier, D., 2001, Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions. IEEE Transactions on Automatic Control, 46, 624-630.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 624-630
    • Peaucelle, D.1    Arzelier, D.2
  • 32
    • 0027558629 scopus 로고
    • Quadratic stabilizability of linear uncertain systems in convex-bounded domains
    • Peres, P. L. D., Geromel, J. C., and Bernussou, J., 1993, Quadratic stabilizability of linear uncertain systems in convex-bounded domains. Automatica, 29, 491-493.
    • (1993) Automatica , vol.29 , pp. 491-493
    • Peres P. L., D.1    Geromel J., C.2    Bernussou, J.3
  • 34
    • 0034925745 scopus 로고    scopus 로고
    • A less conservative LMI condition for the robust stability of discrete-time uncertain systems
    • Ramos, D. C. W., and Peres, P. L. D., 2001, A less conservative LMI condition for the robust stability of discrete-time uncertain systems. Systems and Control Letters, 43, 371-378.
    • (2001) Systems and Control Letters , vol.43 , pp. 371-378
    • Ramos D. C., W.1    Peres P. L., D.2
  • 35
    • 0036531228 scopus 로고    scopus 로고
    • An LMI condition for the robust stability of uncertain continuous-time linear systems
    • Ramos, D. C. W., and Peres, P. L. D., 2002, An LMI condition for the robust stability of uncertain continuous-time linear systems. IEEE Transactions on Automatic Control, 47, 675-678.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , pp. 675-678
    • Ramos D. C., W.1    Peres P. L., D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.