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Volumn 55, Issue 9, 2006, Pages 746-754

Higher order numerical approximation of switching systems

Author keywords

Affine control systems; Commutative switching systems; Derivative free schemes; Multiple switching control integrals; Switching systems; Taylor numerical schemes

Indexed keywords

APPROXIMATION THEORY; NONLINEAR CONTROL SYSTEMS; NUMERICAL ANALYSIS;

EID: 33745612044     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2006.03.002     Document Type: Article
Times cited : (18)

References (12)
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    • Cyganowski S., Grüne L., and Kloeden P.E. MAPLE for stochastic differential equations. In: Blowey J.F., Coleman J.P., and Craig A.W. (Eds). Theory and Numerics of Differential Equations (2001), Springer, Berlin 127-178. http://www.math.uni-frankfurt.de/numerik/maplestoch/ See also www.math.uni-frankfurt.de/∼numerik/maplestoch/
    • (2001) Theory and Numerics of Differential Equations , pp. 127-178
    • Cyganowski, S.1    Grüne, L.2    Kloeden, P.E.3
  • 2
    • 0035597302 scopus 로고    scopus 로고
    • Higher order numerical schemes for affinely controlled nonlinear systems
    • Grüne L., and Kloeden P.E. Higher order numerical schemes for affinely controlled nonlinear systems. Numer. Math. 89 (2001) 669-690
    • (2001) Numer. Math. , vol.89 , pp. 669-690
    • Grüne, L.1    Kloeden, P.E.2
  • 4
    • 2442472068 scopus 로고    scopus 로고
    • Uniform stability of switched linear systems: extensions of LaSalle's invariance principle
    • Hespanha J.P. Uniform stability of switched linear systems: extensions of LaSalle's invariance principle. IEEE Trans. Auto. Control 49 (2004) 470-482
    • (2004) IEEE Trans. Auto. Control , vol.49 , pp. 470-482
    • Hespanha, J.P.1
  • 5
    • 33745625475 scopus 로고    scopus 로고
    • P.E. Kloeden, Nonautonomous attractors of switching systems, Dyn. Syst., to appear.
  • 6
    • 33744966729 scopus 로고    scopus 로고
    • Single parameter dissipativity and attractors in discrete time asynchronous systems
    • Kloeden P.E., and Kozyakin V.S. Single parameter dissipativity and attractors in discrete time asynchronous systems. J. Differ. Eqns. Appl. 7 (2001) 873-894
    • (2001) J. Differ. Eqns. Appl. , vol.7 , pp. 873-894
    • Kloeden, P.E.1    Kozyakin, V.S.2
  • 8
    • 34248156698 scopus 로고    scopus 로고
    • P.E. Kloeden, A. Rößler, Runge-Kutta methods for affinely controlled nonlinear systems, J. Comput. Appl. Math., to appear; doi: 10.1016/j.cam.2006.02.061.
  • 9
    • 0035548119 scopus 로고    scopus 로고
    • On the asymptotic stability of families of dynamical systems
    • Korovin S.K., and Bobylev N.A. On the asymptotic stability of families of dynamical systems. Dokl. Math. 379 3 (2001) 299-301
    • (2001) Dokl. Math. , vol.379 , Issue.3 , pp. 299-301
    • Korovin, S.K.1    Bobylev, N.A.2
  • 11
    • 8744267214 scopus 로고    scopus 로고
    • Issues on nonlinear digital control
    • Monaco S., and Normand-Cyrot D. Issues on nonlinear digital control. Eur. J. Control 7 (2001) 160-178
    • (2001) Eur. J. Control , vol.7 , pp. 160-178
    • Monaco, S.1    Normand-Cyrot, D.2
  • 12
    • 0037079771 scopus 로고    scopus 로고
    • Robust stability of perturbed switching systems by matrix measure
    • Yi Z.G., Soh Y.C., and Wen C.Y. Robust stability of perturbed switching systems by matrix measure. Syst. Control Lett. 45 (2002) 9-19
    • (2002) Syst. Control Lett. , vol.45 , pp. 9-19
    • Yi, Z.G.1    Soh, Y.C.2    Wen, C.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.