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Volumn 58, Issue 4, 1997, Pages 351-364

High-order approximations of linear control systems via Runge-Kutta schemes

Author keywords

Discrete time approximations; Reachable sets; Runge Kutta schemes

Indexed keywords

APPROXIMATION THEORY; CONTROL; CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; MATRIX ALGEBRA; TIME VARYING SYSTEMS;

EID: 0031375029     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02684347     Document Type: Article
Times cited : (23)

References (15)
  • 2
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    • Dontchev, A.1    Lempio, F.2
  • 3
    • 4143130280 scopus 로고
    • Parametrization of integrals of set-valued mappings and applications
    • Doitchinov, B. D., Veliov, V.: Parametrization of integrals of set-valued mappings and applications. J. Math. Anal. Appl. 779, 483-499 (1993).
    • (1993) J. Math. Anal. Appl. , vol.779 , pp. 483-499
    • Doitchinov, B.D.1    Veliov, V.2
  • 4
    • 6244243268 scopus 로고
    • Ricerche sui momentt di una funzione limitata compresa tra limiti assegnati
    • Ghizzetti, A.: Ricerche sui momentt di una funzione limitata compresa tra limiti assegnati. Atti della Reale Accademia d'Italia 13, 1165-1199 (1942).
    • (1942) Atti della Reale Accademia d'Italia , vol.13 , pp. 1165-1199
    • Ghizzetti, A.1
  • 5
    • 0000654914 scopus 로고
    • Momentprobleme für ein endliches Intervall
    • Hausdorff, F.: Momentprobleme für ein endliches Intervall. Math. Z. 16, 220-248 (1923).
    • (1923) Math. Z. , vol.16 , pp. 220-248
    • Hausdorff, F.1
  • 7
    • 0025249659 scopus 로고
    • Controllability of nonlinear discrete-time systems: A Lie-algebraic approach
    • Jakubczyk, B., Sontag, E. D.: Controllability of nonlinear discrete-time systems: a Lie-algebraic approach. SIAM J. Contr. Opt. 28, 1-33 (1990).
    • (1990) SIAM J. Contr. Opt. , vol.28 , pp. 1-33
    • Jakubczyk, B.1    Sontag, E.D.2
  • 8
    • 0018152524 scopus 로고
    • The existence and uniqueness of Volterra series for nonlinear systems
    • Lesiak, C., Krener, A. J.: The existence and uniqueness of Volterra series for nonlinear systems. IEEE Trans. Aut. Contr. 23, 1090-1095 (1978).
    • (1978) IEEE Trans. Aut. Contr. , vol.23 , pp. 1090-1095
    • Lesiak, C.1    Krener, A.J.2
  • 10
    • 0025385215 scopus 로고
    • Equations of attainable set dynamics, Part 1: Integral funnel equations
    • Panasyuk, A. I.: Equations of attainable set dynamics, Part 1: Integral funnel equations. J. Optim. Theory Appl. 64, 349-366 (1990).
    • (1990) J. Optim. Theory Appl. , vol.64 , pp. 349-366
    • Panasyuk, A.I.1
  • 12
    • 0024738934 scopus 로고
    • Second-order discrete approximations to strongly convex differential inclusions
    • Veliov, V.: Second-order discrete approximations to strongly convex differential inclusions. Syst. Control Lett. 13, 263-269 (1989).
    • (1989) Syst. Control Lett. , vol.13 , pp. 263-269
    • Veliov, V.1
  • 13
    • 0026842736 scopus 로고
    • Second-order discrete approximation to linear differential inclusions
    • Veliov, V.: Second-order discrete approximation to linear differential inclusions. SIAM J. Numer Anal. 29, 439-451 (1992).
    • (1992) SIAM J. Numer Anal. , vol.29 , pp. 439-451
    • Veliov, V.1
  • 15
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    • The exponential formula for the reachable set of a Lipschitz differential inclusion
    • Wolensky, P. R.: The exponential formula for the reachable set of a Lipschitz differential inclusion. SIAM J. Contr. Opt. 28, 1148-1161 (1990).
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    • Wolensky, P.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.