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Volumn 30, Issue 1, 2011, Pages 169-186

Upper and lower estimates for invariance entropy

Author keywords

Bilinear control systems; Invariance entropy; Nonlinear control systems

Indexed keywords


EID: 79954538791     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2011.30.169     Document Type: Article
Times cited : (21)

References (12)
  • 1
    • 54749127416 scopus 로고    scopus 로고
    • Lyapunov's Direct Method in Estimates of Topological Entropy
    • V. A. Boichenko and G. A. Leonov, The direct Lyapunov method in estimates for topological entropy, J. Math. Sci., 91 (1998), 3370-3379 (English. Russian original) (Pubitemid 128163571)
    • (1998) Journal of mathematical sciences , vol.91 , Issue.6 , pp. 3370-3379
    • Boichenko, V.A.1    Leonov, G.A.2
  • 2
    • 79954496514 scopus 로고
    • translation from
    • translation from Zap. Nauchn. Semin. POMI, 231 (1995), 62-75.
    • (1995) Zap. Nauchn. Semin. POMI , vol.231 , pp. 62-75
  • 4
    • 67649256139 scopus 로고    scopus 로고
    • Invariance entropy for control systems
    • F. Colonius and C. Kawan, Invariance entropy for control systems, SIAM J. Control Optim., 48 (2009), 1701-1721.
    • (2009) SIAM J. Control Optim. , vol.48 , pp. 1701-1721
    • Colonius, F.1    Kawan, C.2
  • 7
    • 0002175610 scopus 로고
    • Global controllability by nice controls in "nonlinear Controllability and Optimal Control"
    • (H. J. Sussmann ed.), Marcel Dekker Inc., New York
    • K. A. Grasse and H. J. Sussmann, Global controllability by nice controls, in "Nonlinear Controllability and Optimal Control" (H. J. Sussmann ed.), Monographs and Textbooks in Pure and Applied Mathematics 133, Marcel Dekker Inc., New York (1990), 33-79.
    • (1990) Monographs and Textbooks in Pure and Applied Mathematics , vol.133 , pp. 33-79
    • Grasse, K.A.1    Sussmann, H.J.2
  • 8
    • 54749109017 scopus 로고
    • 1- diffeomorphism
    • 1- diffeomorphism, Proc. Japan Acad., 46 (1970), 226-230.
    • (1970) Proc. Japan Acad. , vol.46 , pp. 226-230
    • Ito, F.1
  • 9
    • 79954541218 scopus 로고    scopus 로고
    • Ph.D thesis, Institut für Mathematik, Universität Augsburg, available at
    • C. Kawan, "Invariance Entropy for Control Systems," Ph.D thesis, Institut für Mathematik, Universität Augsburg, 2009, available at http://opus.bibliothek.uni-augsburg.de/ volltexte/2010/1506/.
    • (2009) Invariance Entropy for Control Systems
    • Kawan, C.1
  • 10
    • 79957505764 scopus 로고    scopus 로고
    • Invariance entropy of control sets
    • preprint available at
    • C. Kawan, Invariance entropy of control sets, to appear in SIAM J. Control Optim., preprint available at http://opus.bibliothek.uni-augsburg.de/ volltexte/2010/1510/.
    • SIAM J. Control Optim.
    • Kawan, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.