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Volumn 9, Issue , 2003, Pages 207-216

Controllability for systems with slowly varying parameters

Author keywords

Control bundles; Control sets; Singular perturbations

Indexed keywords

CONTROLLABILITY; NUMERICAL METHODS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; SET THEORY; SYSTEMS ANALYSIS;

EID: 14244262735     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2003010     Document Type: Article
Times cited : (8)

References (16)
  • 1
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    • Stability in the presence of singular perturbations
    • Z. Artstein, Stability in the presence of singular perturbations. Nonlinear Anal. TMA 34 (1998) 817-827.
    • (1998) Nonlinear Anal. TMA , vol.34 , pp. 817-827
    • Artstein, Z.1
  • 2
    • 0031236995 scopus 로고    scopus 로고
    • Tracking fast trajectories along a slow dynamics: A singular perturbations approach
    • Z. Artstein and V. Gaitsgory, Tracking fast trajectories along a slow dynamics: A singular perturbations approach. SIAM J. Control Optim. 35 (1997) 1487-1507.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1487-1507
    • Artstein, Z.1    Gaitsgory, V.2
  • 7
    • 0031168753 scopus 로고    scopus 로고
    • Averaging of singularly perturbed systems
    • G. Grammel, Averaging of singularly perturbed systems. Nonlinear Anal. TMA 28 (1997) 1855-1865.
    • (1997) Nonlinear Anal. TMA , vol.28 , pp. 1855-1865
    • Grammel, G.1
  • 8
    • 0033690246 scopus 로고    scopus 로고
    • On the asymptotics of the Lyapunov spectrum under singular perturbations
    • G. Grammel and P. Shi, On the asymptotics of the Lyapunov spectrum under singular perturbations. IEEE Trans. Automat. Control 45 (2000) 565-568.
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 565-568
    • Grammel, G.1    Shi, P.2
  • 9
    • 0013170183 scopus 로고    scopus 로고
    • Dissertation Universitat Augsburg. Augsburger Mathematische Schriften, Wißner Verlag, Augsburg
    • S.M. Grünvogel, Lyapunov Spectrum and Control Sets, Dissertation Universitat Augsburg. Augsburger Mathematische Schriften No. 34, Wißner Verlag, Augsburg (2000).
    • (2000) Lyapunov Spectrum and Control Sets , vol.34
    • Grünvogel, S.M.1
  • 10
    • 33845273732 scopus 로고    scopus 로고
    • Lyapunov exponents and control sets near singular points
    • to appear
    • S.M. Grünvogel, Lyapunov exponents and control sets near singular points. J. Differential Equations (to appear).
    • J. Differential Equations
    • Grünvogel, S.M.1
  • 13
    • 0025530956 scopus 로고
    • Stochastic penetration of smooth and fractal basin boundaries under noise excitation
    • M.S. Soliman and J.M.T. Thompson, Stochastic penetration of smooth and fractal basin boundaries under noise excitation. Dynam. Stability Systems 5 (1990) 281-298.
    • (1990) Dynam. Stability Systems , vol.5 , pp. 281-298
    • Soliman, M.S.1    Thompson, J.M.T.2
  • 14
    • 0041628234 scopus 로고    scopus 로고
    • Dissertation. Institut für Mathematik, Universitat Augsburg, Augsburg
    • D. Szolnoki, Algorithms for Reachability Problems, Dissertation. Institut für Mathematik, Universitat Augsburg, Augsburg (2001).
    • (2001) Algorithms for Reachability Problems
    • Szolnoki, D.1
  • 15
    • 33845275030 scopus 로고    scopus 로고
    • Set oriented methods for computing reachable sets and control sets
    • submitted
    • D. Szolnoki, Set oriented methods for computing reachable sets and control sets. Discrete Contin. Dynam. Systems Ser. B (submitted).
    • Contin. Dynam. Systems Ser. B
    • Szolnoki, D.1
  • 16
    • 0030826053 scopus 로고    scopus 로고
    • Limits of singularly perturbed control problems with statistical dynamics of fast motions
    • A. Vigodner, Limits of singularly perturbed control problems with statistical dynamics of fast motions. SIAM J. Control Optim. 35 (1997) 1-28.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1-28
    • Vigodner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.