메뉴 건너뛰기




Volumn 7, Issue 3, 2001, Pages 327-338

Exponential stability via the averaged system

Author keywords

Averaging; Uniform exponential stability

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; SPURIOUS SIGNAL NOISE; THEOREM PROVING; VECTORS;

EID: 0035412735     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013043712417     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0033148910 scopus 로고    scopus 로고
    • On exponential stability of nonlinear time-varying differential equations
    • D. Aeyels and J. Peuteman, On exponential stability of nonlinear time-varying differential equations. Automatica J. IFAC 35 (1999), 1091-1100.
    • (1999) Automatica J. IFAC , vol.35 , pp. 1091-1100
    • Aeyels, D.1    Peuteman, J.2
  • 2
    • 0032326261 scopus 로고    scopus 로고
    • Stability in the presence of singular perturbations
    • Z. Artstein, Stability in the presence of singular perturbations. Nonlinear Anal. 34 (1998), 817-827.
    • (1998) Nonlinear Anal. , vol.34 , pp. 817-827
    • Artstein, Z.1
  • 3
    • 0002274670 scopus 로고    scopus 로고
    • An averaging theorem for time-periodic degree zero homogeneous differential equations
    • R. T. M'closkey, An averaging theorem for time-periodic degree zero homogeneous differential equations. Systems Control Lett. 32 (1997), 179-183.
    • (1997) Systems Control Lett. , vol.32 , pp. 179-183
    • M'Closkey, R.T.1
  • 4
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
    • V. Gaitsgory, Suboptimization of singularly perturbed control systems. SIAM J. Control Optim. 30 (1992), 1228-1249.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1228-1249
    • Gaitsgory, V.1
  • 5
    • 0027606741 scopus 로고
    • Suboptimal control of singularly perturbed systems and periodic control
    • _, Suboptimal control of singularly perturbed systems and periodic control. IEEE Trans. Automat. Control 38 (1993), 888-903.
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 888-903
  • 6
    • 0031168753 scopus 로고    scopus 로고
    • Averaging of singularly perturbed systems
    • G. Grammel, Averaging of singularly perturbed systems. Nonlinear Anal. 28 (1997), 1851-1865.
    • (1997) Nonlinear Anal. , vol.28 , pp. 1851-1865
    • Grammel, G.1
  • 7
    • 0001110622 scopus 로고    scopus 로고
    • Singularly perturbed differential inclusions: An averaging approach
    • _, Singularly perturbed differential inclusions: An averaging approach. Set-Valued Anal. 4 (1996), 361-374.
    • (1996) Set-Valued Anal. , vol.4 , pp. 361-374
  • 8
    • 0011766860 scopus 로고
    • Averaging of differential inclusions with slow and fast variables
    • Russian
    • O.P. Filatov and M. M. Khapaev, Averaging of differential inclusions with slow and fast variables. (Russian) Mat. Zametki 47 (1990), 102-109.
    • (1990) Mat. Zametki , vol.47 , pp. 102-109
    • Filatov, O.P.1    Khapaev, M.M.2
  • 10
    • 0022012587 scopus 로고
    • A maximum principle for generalized control systems
    • B. Kaskosz and S. Lojasievicz, A maximum principle for generalized control systems. Nonlinear Anal. 9 (1985), 109-130.
    • (1985) Nonlinear Anal. , vol.9 , pp. 109-130
    • Kaskosz, B.1    Lojasievicz, S.2
  • 11
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Y. Lin, E. D. Sontag, and Y. Wang, A smooth converse Lyapunov theorem for robust stability. SIAM J. Control Optim. 34 (1996), 124-160.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 12
    • 0001471520 scopus 로고
    • Averaging method for differential inclusions and its application to optimal control problems
    • V. A. Plotnikov, Averaging method for differential inclusions and its application to optimal control problems. Differential Equations 15 (1979), 1013-1018.
    • (1979) Differential Equations , vol.15 , pp. 1013-1018
    • Plotnikov, V.A.1
  • 13
    • 0001552979 scopus 로고
    • Averaging of differential inclusions
    • Russian
    • _, Averaging of differential inclusions. (Russian) Ukrain. Mat. Zh. 31 (1979) 573-576.
    • (1979) Ukrain. Mat. Zh. , vol.31 , pp. 573-576
  • 15
    • 0000591882 scopus 로고    scopus 로고
    • Semi-global practical asymptotic stability and averaging
    • A. R. Teel, J. Peuteman, and D. Aeyels, Semi-global practical asymptotic stability and averaging. Systems Control Lett. 37 (1999), 329-334.
    • (1999) Systems Control Lett. , vol.37 , pp. 329-334
    • Teel, A.R.1    Peuteman, J.2    Aeyels, D.3
  • 17
    • 0030826053 scopus 로고    scopus 로고
    • Limits of singularly perturbed control problems with statistical dynamics of fast motion
    • A. Vigodner, Limits of singularly perturbed control problems with statistical dynamics of fast motion. 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.