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Volumn 248, Issue 1, 2000, Pages 124-144

Periodic near optimal control

Author keywords

Averaging; Controllability; Near optimality; Nonlinear control system; Periodic control; Singular perturbation

Indexed keywords


EID: 0034238659     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6874     Document Type: Article
Times cited : (1)

References (20)
  • 1
    • 0033095583 scopus 로고    scopus 로고
    • Invariant measures of differential inclusions applied to singular perturbations
    • Artstein Z. Invariant measures of differential inclusions applied to singular perturbations. J. Differential Equations. 152:1999;289-307.
    • (1999) J. Differential Equations , vol.152 , pp. 289-307
    • Artstein, Z.1
  • 2
    • 0032204231 scopus 로고    scopus 로고
    • Singular perturbation of a finite horizon problem with state-space constraints
    • Bagagiolo F., Bardi M. Singular perturbation of a finite horizon problem with state-space constraints. SIAM J. Control Optim. 36:1998;2040-2060.
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 2040-2060
    • Bagagiolo, F.1    Bardi, M.2
  • 5
    • 0001599139 scopus 로고
    • Infinite time optimal control and periodicity
    • Colonius F., Kleimann W. Infinite time optimal control and periodicity. Appl. Math. Optim. 20:1989;113-130.
    • (1989) Appl. Math. Optim. , vol.20 , pp. 113-130
    • Colonius, F.1    Kleimann, W.2
  • 6
    • 0002329331 scopus 로고
    • Limit behaviour and genericity for nonlinear control systems
    • Colonius F., Kleimann W. Limit behaviour and genericity for nonlinear control systems. J. Differential Equations. 109:1994;8-41.
    • (1994) J. Differential Equations , vol.109 , pp. 8-41
    • Colonius, F.1    Kleimann, W.2
  • 8
    • 0033141127 scopus 로고    scopus 로고
    • Averaging method for one-sided Lipschitz differential inclusions with generalized solutions
    • Donchev T., Slavov I. Averaging method for one-sided Lipschitz differential inclusions with generalized solutions. SIAM J. Control Optim. 37:1999;1600-1613.
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 1600-1613
    • Donchev, T.1    Slavov, I.2
  • 9
    • 0031322931 scopus 로고    scopus 로고
    • The averaging method for perturbations of mixing flows
    • Dumas H. S., Golse F. The averaging method for perturbations of mixing flows. Ergodic Theory Dynam. Syst. 17:1997;1339-1358.
    • (1997) Ergodic Theory Dynam. Syst. , vol.17 , pp. 1339-1358
    • Dumas, H.S.1    Golse, F.2
  • 10
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
    • Gaitsgory V. G. 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.G.1
  • 11
    • 0027606741 scopus 로고
    • Suboptimal control of singularly perturbed systems and periodic control
    • Gaitsgory V. G. Suboptimal control of singularly perturbed systems and periodic control. IEEE Trans. Automatic Control. 38:1993;888-903.
    • (1993) IEEE Trans. Automatic Control , vol.38 , pp. 888-903
    • Gaitsgory, V.G.1
  • 12
    • 0029292416 scopus 로고
    • A new reduction technique for a class of singularly perturbed optimal control problems
    • Gaitsgory V. G. A new reduction technique for a class of singularly perturbed optimal control problems. IEEE Trans. Automat. Control. 40:1995;721-724.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 721-724
    • Gaitsgory, V.G.1
  • 13
    • 0001208122 scopus 로고
    • Controllability of differential inclusions
    • Grammel G. Controllability of differential inclusions. J. Dynam. Control Systems. 1:1995;581-595.
    • (1995) J. Dynam. Control Systems , vol.1 , pp. 581-595
    • Grammel, G.1
  • 14
    • 0031168753 scopus 로고    scopus 로고
    • Averaging of singularly perturbed systems
    • Grammel G. Averaging of singularly perturbed systems. Nonlinear Anal. 28:1997;1851-1865.
    • (1997) Nonlinear Anal. , vol.28 , pp. 1851-1865
    • Grammel, G.1
  • 15
    • 10344231008 scopus 로고    scopus 로고
    • Estimate of periodic suboptimal controls
    • Grammel G. Estimate of periodic suboptimal controls. J. Optim. Theory Appl. 99:1998;681-689.
    • (1998) J. Optim. Theory Appl. , vol.99 , pp. 681-689
    • Grammel, G.1
  • 17
    • 0001633088 scopus 로고
    • Recurrence and invariant measures for degenerate diffusions
    • Kliemann W. Recurrence and invariant measures for degenerate diffusions. Ann. Probab. 15:1986;690-707.
    • (1986) Ann. Probab. , vol.15 , pp. 690-707
    • Kliemann, W.1
  • 20
    • 0000890993 scopus 로고
    • Convergence of the value functions of discounted infinite horizon optimal control problems with low discount rates
    • Wirth F. Convergence of the value functions of discounted infinite horizon optimal control problems with low discount rates. Math. Oper. Res. 18:1993;1006-1013.
    • (1993) Math. Oper. Res. , vol.18 , pp. 1006-1013
    • Wirth, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.