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Volumn 16, Issue 3, 2006, Pages 689-703

The continuous matching of two stable linear systems can be unstable

Author keywords

Invariant manifolds; Piecewise linear systems; Stability

Indexed keywords


EID: 33845767382     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2006.16.689     Document Type: Article
Times cited : (40)

References (13)
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    • Multiple lyapunov functions and other analysis tools for switched and hybrid systems
    • M. Branicky, Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems. IEEE Trans. Automat. Contr., vol. 43, No. 4 (1998), 475-482.
    • (1998) IEEE Trans. Automat. Contr. , vol.43 , Issue.4 , pp. 475-482
    • Branicky, M.1
  • 6
    • 1642455815 scopus 로고    scopus 로고
    • Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems
    • V. Carmona, E. Freire, E. Ponce and F. Torres, Invariant manifolds of Periodic Orbits for piecewise linear three-dimensional systems, IMA Journal of Applied Mathematics 69 (2004), 71-91.
    • (2004) IMA Journal of Applied Mathematics , vol.69 , pp. 71-91
    • Carmona, V.1    Freire, E.2    Ponce, E.3    Torres, F.4
  • 8
    • 9144246964 scopus 로고    scopus 로고
    • Global analysis of piecewise linear systems using impact maps and surface lyapunov functions
    • J. Goncalves, A. Megretski and M. Dahleh Global Analysis of Piecewise Linear Systems Using Impact Maps and Surface Lyapunov Functions, IEEE Trans. Automat. Contr. (12) 48 (2003), 2089-2105.
    • (2003) IEEE Trans. Automat. Contr. (12) , vol.48 , pp. 2089-2105
    • Goncalves, J.1    Megretski, A.2    Dahleh, M.3
  • 9
    • 38249014637 scopus 로고
    • Periodic solutions of homogeneous equations
    • K.P. Hadeler, Periodic Solutions of Homogeneous Equations, Journal of Differential Equations 95 (1992), 183-202.
    • (1992) Journal of Differential Equations , vol.95 , pp. 183-202
    • Hadeler, K.P.1
  • 10
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic lyapunov functions for hybrid systems
    • M. Johansson and A. Rantzer, Computation of Piecewise Quadratic Lyapunov Functions for Hybrid Systems, IEEE Trans. Automat. Contr. (4) 43 (1998), 555-559.
    • (1998) IEEE Trans. Automat. Contr. (4) , vol.43 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 11
    • 0003489485 scopus 로고    scopus 로고
    • Non-smooth dynamical systems
    • Springer-Verlag
    • M. Kunze, "Non-Smooth Dynamical Systems," Lecture Notes in Mathematics, Springer-Verlag, 2000.
    • (2000) Lecture Notes in Mathematics
    • Kunze, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.