메뉴 건너뛰기




Volumn 55, Issue 1, 2010, Pages 137-142

Robust region-of-attraction estimation

Author keywords

Branch and bound; Parameter uncertainty; Region of attraction (ROA)

Indexed keywords

AIRCRAFT DYNAMICS; ASYMPTOTICALLY STABLE EQUILIBRIUM; BRANCH AND BOUNDS; PARAMETER UNCERTAINTY; PARAMETRIC UNCERTAINTIES; POLYNOMIAL DYNAMICAL SYSTEMS;

EID: 75449107347     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2033751     Document Type: Article
Times cited : (122)

References (22)
  • 1
    • 33947677997 scopus 로고
    • Polytopic coverings and robust stability analysis via Lyapunov quadratic forms
    • Springer-Verlag
    • F. Amato, F. Garofalo, and L. Glielmo, "Polytopic coverings and robust stability analysis via Lyapunov quadratic forms," in Variable Structure and Lyapunov Control. : Springer-Verlag, 1994, pp. 269-288.
    • (1994) Variable Structure and Lyapunov Control. , pp. 269-288
    • Amato, F.1    Garofalo, F.2    Glielmo, L.3
  • 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. of Robust and Nonlinear Control, vol.1, no.4, pp. 295-317, 1991.
    • (1991) Int. J. of Robust and Nonlinear Control , vol.1 , Issue.4 , pp. 295-317
    • Balakrishnan, V.1    Boyd, S.2    Balemi, S.3
  • 3
    • 0022111023 scopus 로고
    • Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
    • B. R. Barmish, "Necessary and sufficient conditions for quadratic stabilizability of an uncertain system," Journal of Optimization Theory and Applications, vol.46, no.4, pp. 399-408, 1985.
    • (1985) Journal of Optimization Theory and Applications , vol.46 , Issue.4 , pp. 399-408
    • Barmish, B.R.1
  • 4
    • 0036105218 scopus 로고    scopus 로고
    • A generalization of Zubov's method to perturbed systems
    • F. Camilli, L. Grune, and F. Wirth, "A generalization of Zubov's method to perturbed systems," SIAM Journal on Control and Optimization, vol.40, no.2, pp. 496-515, 2001.
    • (2001) SIAM Journal on Control and Optimization , vol.40 , Issue.2 , pp. 496-515
    • Camilli, F.1    Grune, L.2    Wirth, F.3
  • 5
    • 4444352916 scopus 로고    scopus 로고
    • Estimating the domain of attraction of uncertain poynomial systems
    • G. Chesi, "Estimating the domain of attraction of uncertain poynomial systems," Automatica, vol.40, pp. 1981-1986, 2004.
    • (2004) Automatica , vol.40 , pp. 1981-1986
    • Chesi, G.1
  • 6
    • 14344253993 scopus 로고    scopus 로고
    • On the estimation of the domain of attraction for uncertain polynomial systems via lmis
    • Bahamas
    • G. Chesi, "On the estimation of the domain of attraction for uncertain polynomial systems via lmis," in Proc. Conf. on Decision and Control, Bahamas, 2004, pp. 881-886.
    • (2004) Proc. Conf. on Decision and Control , pp. 881-886
    • Chesi, G.1
  • 7
    • 10844286528 scopus 로고    scopus 로고
    • LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems," Int. J. Robust Nonlinear Control, vol.15, pp. 35-49, 2005.
    • (2005) Int. J. Robust Nonlinear Control , vol.15 , pp. 35-49
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 8
    • 0015125878 scopus 로고
    • A computational method for determining quadratic Lyapunov functions for nonlinear systems
    • E. J. Davison and E. M. Kurak, "A computational method for determining quadratic Lyapunov functions for nonlinear systems," Automatica, vol.7, pp. 627-636, 1971.
    • (1971) Automatica , vol.7 , pp. 627-636
    • Davison, E.J.1    Kurak, E.M.2
  • 9
    • 0022105529 scopus 로고
    • On the estimation of asymptotic stability regions: State of the art and new proposals
    • R. Genesio, M. Tartaglia, and A. Vicino, "On the estimation of asymptotic stability regions: State of the art and new proposals," IEEE Transaction on Automatic Control, vol.30, no.8, pp. 747-755, 1985.
    • (1985) IEEE Transaction on Automatic Control , vol.30 , Issue.8 , pp. 747-755
    • Genesio, R.1    Tartaglia, M.2    Vicino, A.3
  • 10
    • 0000988422 scopus 로고
    • Branch-and-bound methods: A survey
    • E. L. Lawler and D. E.Wood, "Branch-and-bound methods: A survey," Operations Research, vol.14, no.4, pp. 679-719, 1966.
    • (1966) Operations Research , vol.14 , Issue.4 , pp. 679-719
    • Lawler, E.L.1    Wood, D.E.2
  • 12
    • 1542266056 scopus 로고    scopus 로고
    • Semidefinite programming relaxations for semialgebraic problems
    • DOI 10.1007/s10107-003-0387-5
    • P. Parrilo, "Semidefinite programming relaxations for semialgebraic problems," Mathematical Programming Series B, vol.96, no.2, pp. 293-320, 2003. (Pubitemid 44757842)
    • (2003) Mathematical Programming, Series B , vol.96 , Issue.2 , pp. 293-320
    • Parrilo, P.A.1
  • 14
    • 41849116003 scopus 로고    scopus 로고
    • Stability region analysis using polynomial and composite polynomial Lyapunov functions and sum-of-squares programming
    • W. Tan and A. Packard, "Stability region analysis using polynomial and composite polynomial Lyapunov functions and sum-of-squares programming," IEEE Transactions on Automatic Control, vol.53, pp. 565-571, 2008.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , pp. 565-571
    • Tan, W.1    Packard, A.2
  • 15
    • 34047236597 scopus 로고    scopus 로고
    • Computing the domain of attraction for polynomial systems via BMI optimization methods
    • Minneapolis, MN
    • B. Tibken and Y. Fan, "Computing the domain of attraction for polynomial systems via BMI optimization methods," in Proc. American Control Conf., Minneapolis, MN, 2006, pp. 117-122.
    • (2006) Proc. American Control Conf. , pp. 117-122
    • Tibken, B.1    Fan, Y.2
  • 17
    • 52949089284 scopus 로고    scopus 로고
    • Local stability analysis using simulations and sum-of-squares programming
    • U. Topcu, A. Packard, and P. Seiler, "Local stability analysis using simulations and sum-of-squares programming," Automatica, vol.44, pp. 2669-2675, 2008.
    • (2008) Automatica , vol.44 , pp. 2669-2675
    • Topcu, U.1    Packard, A.2    Seiler, P.3
  • 18
    • 0034539694 scopus 로고    scopus 로고
    • Robust stability and domain of attraction of uncertain nonlinear systems
    • Chicago, IL
    • A. Trofino, "Robust stability and domain of attraction of uncertain nonlinear systems," in Proc. American Control Conf., Chicago, IL, 2000, pp. 3707-3711.
    • (2000) Proc. American Control Conf. , pp. 3707-3711
    • Trofino, A.1
  • 19
    • 0021817154 scopus 로고
    • Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
    • A. Vannelli and M. Vidyasagar, "Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems," Automatica, vol.21, no.1, pp. 69-80, 1985.
    • (1985) Automatica , vol.21 , Issue.1 , pp. 69-80
    • Vannelli, A.1    Vidyasagar, M.2
  • 21
    • 84962076535 scopus 로고    scopus 로고
    • Polynomial level-set methods for nonlinear dynamical systems analysis
    • Allerton, IL, [Online]. Available
    • T.-C. Wang, S. Lall, and M. West, "Polynomial level-set methods for nonlinear dynamical systems analysis," in Proc. Allerton Conf. Commun., Control, Comput., Allerton, IL, 2005 [Online]. Available: http://cslgreenhouse. csl.illinois.edu/allerton/archives/allerton05/ PDFs/Papers/II-C-6.pdf
    • (2005) Proc. Allerton Conf. Commun., Control, Comput.
    • Wang, T.-C.1    Lall, S.2    West, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.