메뉴 건너뛰기




Volumn 41, Issue 1, 2003, Pages 89-112

Stability of planar switched systems: The linear single input case

Author keywords

Planar; Random switching function; Stability; Switched systems

Indexed keywords

FUNCTIONS; LINEAR SYSTEMS; MATRIX ALGEBRA; PROBLEM SOLVING; VECTORS;

EID: 0037225457     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012900382837     Document Type: Article
Times cited : (101)

References (12)
  • 1
    • 0036209055 scopus 로고    scopus 로고
    • Lie-algebraic stability criteria for switched systems
    • A. A. Agrachev and D. Liberzon, Lie-algebraic stability criteria for switched systems, SIAM J. Control Optim., 40 (2001), pp. 253-269.
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 253-269
    • Agrachev, A.A.1    Liberzon, D.2
  • 2
    • 1542312943 scopus 로고    scopus 로고
    • A note on stability of arbitrarily switched homogeneous systems
    • to appear
    • D. Angeli, A note on stability of arbitrarily switched homogeneous systems, Systems Control Lett., to appear.
    • Systems Control Lett.
    • Angeli, D.1
  • 3
    • 4243809265 scopus 로고    scopus 로고
    • Extremal synthesis and morse property for minimum time
    • Ph.D. Thesis, SISSA Trieste, Italy
    • U. Boscain, Extremal Synthesis and Morse Property for Minimum Time, Ph.D. Thesis, SISSA Trieste, Italy, 2000.
    • (2000)
    • Boscain, U.1
  • 4
    • 0035323824 scopus 로고    scopus 로고
    • Extremal syntheses for generic planar systems
    • U. Boscain and B. Piccoli, Extremal syntheses for generic planar systems, J. Dynam. Control Systems, 7 (2001), pp. 209-258.
    • (2001) J. Dynam. Control Systems , vol.7 , pp. 209-258
    • Boscain, U.1    Piccoli, B.2
  • 5
    • 0035412738 scopus 로고    scopus 로고
    • Morse properties for the minimum time function on 2-D manifolds
    • U. Boscain and B. Piccoli, Morse properties for the minimum time function on 2-D manifolds, J. Dynam. Control Systems, 7 (2001), pp. 385-423.
    • (2001) J. Dynam. Control Systems , vol.7 , pp. 385-423
    • Boscain, U.1    Piccoli, B.2
  • 6
    • 0032625112 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for a class of dynamical systems which undergo switching
    • W. P. Dayawansa and C. F. Martin, A converse Lyapunov theorem for a class of dynamical systems which undergo switching, IEEE Trans. Automat. Control, 44 (1999) pp. 751-760.
    • (1999) IEEE Trans. Automat. Control , vol.44 , pp. 751-760
    • Dayawansa, W.P.1    Martin, C.F.2
  • 7
    • 0000914485 scopus 로고    scopus 로고
    • Stability of switched systems: A lie-algebraic condition
    • D. Liberzon, J. P. Hespanha, and A. S. Morse, Stability of switched systems: A Lie-algebraic condition, Systems Control Lett., 37 (1999), pp. 117-122.
    • (1999) Systems Control Lett. , vol.37 , pp. 117-122
    • Liberzon, D.1    Hespanha, J.P.2    Morse, A.S.3
  • 8
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • D. Liberzon and A. S. Morse, Basic problems in stability and design of switched systems, IEEE Control Systems Magazine, 19 (1999), pp. 59-70.
    • (1999) IEEE Control Systems Magazine , vol.19 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 9
    • 0030289481 scopus 로고    scopus 로고
    • Classification of generic singularities for the planar time-optimal synthesis
    • B. Piccoli, Classification of generic singularities for the planar time-optimal synthesis, SIAM J. Control Optim., 34 (1996), pp. 1914-1946.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1914-1946
    • Piccoli, B.1
  • 10
    • 0023383491 scopus 로고
    • The structure of time-optimal trajectories for single-input systems in the plane: The general real-analytic case
    • H. J. Sussmann, The structure of time-optimal trajectories for single-input systems in the plane: The general real-analytic case, SIAM J. Control Optim., 25 (1987), pp. 868-904.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 868-904
    • Sussmann, H.J.1
  • 11
    • 0033283375 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for two stable second order linear time-invariant systems
    • R. Shorten and K. Narendra, Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for two stable second order linear time-invariant systems. in Proceedings of the American Control Conference, San Diego, 1999, pp. 1410-1414.
    • Proceedings of the American Control Conference, San Diego, 1999 , pp. 1410-1414
    • Shorten, R.1    Narendra, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.