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Volumn 55, Issue 8, 2010, Pages 1923-1927

Uniting two control lyapunov functions for affine systems

Author keywords

Lyapunov stabilization; nonlinear systems; optimal control; uniting problems

Indexed keywords

COUPLINGS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; STATE FEEDBACK;

EID: 77955365226     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2049689     Document Type: Article
Times cited : (44)

References (17)
  • 1
    • 0141869049 scopus 로고    scopus 로고
    • Flow stability of patchy vector fields and robust feedback stabilization
    • F. Ancona and A. Bressan, "Flow stability of patchy vector fields and robust feedback stabilization," SIAM J. Control Optimiz., vol.41, no.5, pp. 1455-1476, 2003.
    • (2003) SIAM J. Control Optimiz. , vol.41 , Issue.5 , pp. 1455-1476
    • Ancona, F.1    Bressan, A.2
  • 2
    • 55549084229 scopus 로고    scopus 로고
    • Homogeneous approximation, recursive observer design and output feedback
    • V. Andrieu, L. Praly, and A. Astolfi, "Homogeneous approximation, recursive observer design and output feedback," SIAM J. Control Optimiz., vol.47, no.4, pp. 1814-1850, 2008.
    • (2008) SIAM J. Control Optimiz. , vol.47 , Issue.4 , pp. 1814-1850
    • Andrieu, V.1    Praly, L.2    Astolfi, A.3
  • 4
    • 0020848962 scopus 로고
    • Stabilization with relaxed controls
    • Z. Arststein, "Stabilization with relaxed controls," Nonlin. Anal., vol.7, no.11, pp. 1163-1173, 1983.
    • (1983) Nonlin. Anal. , vol.7 , Issue.11 , pp. 1163-1173
    • Arststein, Z.1
  • 5
    • 0030191874 scopus 로고    scopus 로고
    • Inverse optimality in robust stabilization
    • R. A. Freeman and P. V. Kokotovic, "Inverse optimality in robust stabilization," SIAM J. Control Optimiz., vol.34, no.4, pp. 1365-1391, 1996.
    • (1996) SIAM J. Control Optimiz. , vol.34 , Issue.4 , pp. 1365-1391
    • Freeman, R.A.1    Kokotovic, P.V.2
  • 7
    • 0026170903 scopus 로고
    • A universal formula for stabilization with bounded controls
    • Y. Lin and E. D. Sontag, "A universal formula for stabilization with bounded controls," Syst. Control Lett., vol.16, no.6, pp. 393-397, 1991.
    • (1991) Syst. Control Lett. , vol.16 , Issue.6 , pp. 393-397
    • Lin, Y.1    Sontag, E.D.2
  • 8
    • 20344396845 scopus 로고    scopus 로고
    • Yalmip: A toolbox for modeling and optimization in MATLAB
    • Taipei, Taiwan
    • J. Löfberg, "Yalmip: A toolbox for modeling and optimization in MATLAB," in Proc. CACSD Conf., Taipei, Taiwan, 2004.
    • (2004) Proc. CACSD Conf.
    • Löfberg, J.1
  • 9
    • 0030287289 scopus 로고    scopus 로고
    • Adding integrations, saturated controls, and stabilization for feedforward systems
    • Nov.
    • F. Mazenc and L. Praly, "Adding integrations, saturated controls, and stabilization for feedforward systems," IEEE Trans. Autom. Control, vol.41, no.11, pp. 1559-1578, Nov. 1996.
    • (1996) IEEE Trans. Autom. Control , vol.41 , Issue.11 , pp. 1559-1578
    • Mazenc, F.1    Praly, L.2
  • 10
    • 0035390924 scopus 로고    scopus 로고
    • Backstepping design with local optimality matching
    • Z. Pan, K. Ezal, A. J. Krener, and P. V. Kokotovic, "Backstepping design with local optimality matching," IEEE Trans. Autom. Control, vol.46, no.7, pp. 1014-1027, 2001.
    • (2001) IEEE Trans. Autom. Control , vol.46 , Issue.7 , pp. 1014-1027
    • Pan, Z.1    Ezal, K.2    Krener, A.J.3    Kokotovic, P.V.4
  • 11
    • 0034855185 scopus 로고    scopus 로고
    • Uniting local and global controllers with robustness to vanishing noise
    • C. Prieur, "Uniting local and global controllers with robustness to vanishing noise," Mathemat. Control, Signals, and Syst., vol.14, no.2, pp. 143-172, 2001.
    • (2001) Mathemat. Control, Signals, and Syst. , vol.14 , Issue.2 , pp. 143-172
    • Prieur, C.1
  • 12
    • 34248993252 scopus 로고    scopus 로고
    • Quasi-optimal robust stabilization of control systems
    • C. Prieur and E. Trélat, "Quasi-optimal robust stabilization of control systems," SIAM J. Control Optimiz., vol.45, no.5, pp. 1875-1897, 2006.
    • (2006) SIAM J. Control Optimiz. , vol.45 , Issue.5 , pp. 1875-1897
    • Prieur, C.1    Trélat, E.2
  • 13
    • 62949210712 scopus 로고    scopus 로고
    • Supervising a family of hybrid controllers for robust global asymptotic stabilization
    • Cancun, Mexico
    • R. G. Sanfelice, A. R. Teel, and R. Goebel, "Supervising a family of hybrid controllers for robust global asymptotic stabilization," in Proc. 47th IEEE Conf. Decision and Control, Cancun, Mexico, 2008, pp. 4700-4705.
    • (2008) Proc. 47th IEEE Conf. Decision and Control , pp. 4700-4705
    • Sanfelice, R.G.1    Teel, A.R.2    Goebel, R.3
  • 15
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, aMATLAB toolbox for optimization over symmetric cones
    • [Online]. Available:
    • J. F. Sturm, "Using SeDuMi 1.02, aMATLAB toolbox for optimization over symmetric cones," Optimiz. Methods and Softw. vol.11-12, pp. 625-653, 1999 [Online]. Available: http://sedumi.mcmaster.ca/
    • (1999) Optimiz. Methods and Softw. , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 16
    • 0030703345 scopus 로고    scopus 로고
    • Uniting local and global controllers for the Caltech ducted fan
    • Albuquerque, NM
    • A. R. Teel, O. E. Kaiser, and R. M. Murray, "Uniting local and global controllers for the Caltech ducted fan," in Proc. 16th American Control Conf., Albuquerque, NM, 1997, pp. 1539-1543.
    • (1997) Proc. 16th American Control Conf. , pp. 1539-1543
    • Teel, A.R.1    Kaiser, O.E.2    Murray, R.M.3
  • 17
    • 62749138478 scopus 로고    scopus 로고
    • Improving nonlinear control performance with a hybrid control strategy
    • New Orleans, LA
    • Q. Zheng and F. Wu, "Improving nonlinear control performance with a hybrid control strategy," in Proc. 46th IEEE Conf. Decision and Control, New Orleans, LA, 2007, pp. 3208-3213.
    • (2007) Proc. 46th IEEE Conf. Decision and Control , pp. 3208-3213
    • Zheng, Q.1    Wu, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.