메뉴 건너뛰기




Volumn 35, Issue 5, 1997, Pages 1487-1507

Tracking fast trajectories along a slow dynamics: A singular perturbations approach

Author keywords

Chattering systems; Invariant measures; Singular perturbations; Tracking

Indexed keywords

OPTIMAL CONTROL SYSTEMS; PERTURBATION TECHNIQUES; SYSTEM STABILITY;

EID: 0031236995     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S036301299528458X     Document Type: Article
Times cited : (52)

References (23)
  • 1
    • 0041889984 scopus 로고
    • Chattering variational limits of control systems
    • Z. ARTSTEIN, Chattering variational limits of control systems, Forum Math., 5 (1993), pp. 369-403.
    • (1993) Forum Math. , vol.5 , pp. 369-403
    • Artstein, Z.1
  • 2
    • 0022150485 scopus 로고
    • Tracking periodic signals with the overtaking criterion
    • Z. ARTSTEIN AND A. LEIZAROWITZ, Tracking periodic signals with the overtaking criterion, IEEE Trans. Automat. Control, AC-30 (1985), pp. 1123-1126.
    • (1985) IEEE Trans. Automat. Control , vol.AC-30 , pp. 1123-1126
    • Artstein, Z.1    Leizarowitz, A.2
  • 3
    • 0012227045 scopus 로고    scopus 로고
    • Singularly perturbed ordinary differential equations with dynamic limits
    • Z. ARTSTEIN AND A. VIGODNER, Singularly perturbed ordinary differential equations with dynamic limits, Proc. Royal Soc. Edinburgh Sect. A, 126 (1996), pp. 541-569.
    • (1996) Proc. Royal Soc. Edinburgh Sect. A , vol.126 , pp. 541-569
    • Artstein, Z.1    Vigodner, A.2
  • 6
    • 0004137986 scopus 로고
    • Herman, Paris, chapter 6
    • N. BOURBAKI, Integration, Herman, Paris, 1959, chapter 6.
    • (1959) Integration
    • Bourbaki, N.1
  • 8
    • 0017012825 scopus 로고
    • Decomposition of near-optimum regulators for systems with slow and fast modes
    • J. H. CHOW AND P. V. KOKOTOVIC, Decomposition of near-optimum regulators for systems with slow and fast modes, IEEE Trans. Automat. Control, AC-21 (1976), pp. 701-705; reprinted in [12].
    • (1976) IEEE Trans. Automat. Control , vol.AC-21 , pp. 701-705
    • Chow, J.H.1    Kokotovic, P.V.2
  • 9
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
    • V. GAITSGORY, Suboptimization of singularly perturbed control systems, SIAM J. Control Optim., 30 (1992), pp. 1228-1249.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1228-1249
    • Gaitsgory, V.1
  • 10
    • 0027606741 scopus 로고
    • Suboptimal control of singularly perturbed systems and periodic optimization
    • V. GAITSGORY, Suboptimal control of singularly perturbed systems and periodic optimization, IEEE Trans. Automat. Control, 38 (1993), pp. 888-903.
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 888-903
    • Gaitsgory, V.1
  • 11
    • 0021501125 scopus 로고
    • Applications of singular perturbations techniques to control problems
    • P. V. KOKOTOVIC, Applications of singular perturbations techniques to control problems, SIAM Rev., 26 (1984), pp. 501-550.
    • (1984) SIAM Rev. , vol.26 , pp. 501-550
    • Kokotovic, P.V.1
  • 14
    • 3342935522 scopus 로고
    • Singular perturbations and order reduction in control theory - An overview
    • P. V. KOKOTOVIC, R. E. O'MALLEY, AND P. SANNUTI, Singular perturbations and order reduction in control theory - An overview, Automatica, 12 (1976), pp. 123-132; reprinted in [12].
    • (1976) Automatica , vol.12 , pp. 123-132
    • Kokotovic, P.V.1    O'Malley, R.E.2    Sannuti, P.3
  • 15
    • 0001098633 scopus 로고
    • Singular perturbation method for reducing the model order in optimal control design
    • P. V. KOKOTOVIC AND P. SANNUTI, Singular perturbation method for reducing the model order in optimal control design, IEEE Trans. Automat. Control, AC-13 (1968), 377-384; reprinted in [12].
    • (1968) IEEE Trans. Automat. Control , vol.AC-13 , pp. 377-384
    • Kokotovic, P.V.1    Sannuti, P.2
  • 16
    • 0015300755 scopus 로고
    • Singular perturbations of linear regulators: Basic theorems
    • P. V. KOKOTOVIC AND R. A. YACKEL, Singular perturbations of linear regulators: Basic theorems, IEEE Trans. Automat. Control, AC-17 (1972), pp. 29-37; reprinted in [12].
    • (1972) IEEE Trans. Automat. Control , vol.AC-17 , pp. 29-37
    • Kokotovic, P.V.1    Yackel, R.A.2
  • 19
    • 0006846264 scopus 로고
    • The singularly perturbed linear state regulator problem
    • R. E. O'MALLEY, The singularly perturbed linear state regulator problem, SIAM J. Control, 10 (1972), pp. 399-413; reprinted in [12].
    • (1972) SIAM J. Control , vol.10 , pp. 399-413
    • O'Malley, R.E.1
  • 20
    • 0021425563 scopus 로고
    • Singular perturbations and timescale methods in control theory: Survey 1976-1983
    • V. R. SAKSENA, J. O'REILLY, AND P. V. KOKOTOVIC, Singular perturbations and timescale methods in control theory: Survey 1976-1983, Automatica, 20 (1984), pp. 273-293; reprinted in [12].
    • (1984) Automatica , vol.20 , pp. 273-293
    • Saksena, V.R.1    O'Reilly, J.2    Kokotovic, P.V.3
  • 21
    • 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), pp. 1-28.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 1-28
    • Vigodner, A.1
  • 23
    • 0001664812 scopus 로고
    • Optimal programs on infinite horizon 1
    • A. ZASLAVSKI, Optimal programs on infinite horizon 1, SIAM J. Control Optim., 33 (1995), pp. 1643-1660.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1643-1660
    • Zaslavski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.