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Volumn 28, Issue 11, 1997, Pages 1851-1865

Averaging of singularly perturbed systems

Author keywords

Asymptotic stability; Averaging method; Controllability; Differential inclusion; Nonlinear control system; Singular perturbation; Unique ergodicity

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FUNCTIONS; PERTURBATION TECHNIQUES;

EID: 0031168753     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(95)00243-O     Document Type: Article
Times cited : (59)

References (11)
  • 1
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    • Systems of differential equations containing small parameters in the derivatives
    • TYCHONOV A. N., Systems of differential equations containing small parameters in the derivatives, Mat. Sb. 31, 575-586 (1952).
    • (1952) Mat. Sb. , vol.31 , pp. 575-586
    • Tychonov, A.N.1
  • 2
    • 34250627892 scopus 로고
    • Geometric singular perturbation theory for ordinary differential equations
    • FENICHEL N., Geometric singular perturbation theory for ordinary differential equations, J. diff. Eqns 31, 53-93 (1979).
    • (1979) J. Diff. Eqns , vol.31 , pp. 53-93
    • Fenichel, N.1
  • 3
    • 0001039469 scopus 로고
    • Oscillations in systems of ODE with rapidly oscillating solutions
    • ANOSOV D. V., Oscillations in systems of ODE with rapidly oscillating solutions, Izv. Akad. Nauk. SSSR Ser. Math. 24(5), 721-742 (1960).
    • (1960) Izv. Akad. Nauk. SSSR Ser. Math. , vol.24 , Issue.5 , pp. 721-742
    • Anosov, D.V.1
  • 6
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
    • GAITSGORY V. G., Suboptimization of singularly perturbed control systems, SIAM J. Control Optim. 30, 1228-1249 (1992).
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1228-1249
    • Gaitsgory, V.G.1
  • 9
    • 0000067126 scopus 로고
    • Use of the averaging method in control problems
    • GAITSGORY V. G., Use of the averaging method in control problems, Differential Equations 22, 1290-1299 (1986).
    • (1986) Differential Equations , vol.22 , pp. 1290-1299
    • Gaitsgory, V.G.1
  • 10
    • 0001599139 scopus 로고
    • Infinite time optimal control and periodicity
    • COLONIUS F. & KLIEMANN W., Infinite time optimal control and periodicity, Appl. Math. Optim. 20, 113-130 (1989).
    • (1989) Appl. Math. Optim. , vol.20 , pp. 113-130
    • Colonius, F.1    Kliemann, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.