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Volumn 430, Issue 1, 2009, Pages 34-40

An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions

Author keywords

Common quadratic Lyapunov functions; Copositive diagonal Lyapunov functions; Diagonal stability

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; LINEAR ALGEBRA; LYAPUNOV FUNCTIONS; PROBABILITY DENSITY FUNCTION; QUADRATIC PROGRAMMING; SCHRODINGER EQUATION; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS;

EID: 54149100503     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2008.06.037     Document Type: Article
Times cited : (64)

References (15)
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    • Kamenetskiy V.A., and Pyatnitski Y.S. An iterative method of Lyapunov function construction for differential inclusions. Syst. Control Lett. 8 (1987) 445-451
    • (1987) Syst. Control Lett. , vol.8 , pp. 445-451
    • Kamenetskiy, V.A.1    Pyatnitski, Y.S.2
  • 8
    • 33748908863 scopus 로고    scopus 로고
    • On the existence of a common quadratic Lyapunov function for a rank one difference
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    • (2006) Linear Algebra Appl. , vol.419 , pp. 400-416
    • King, C.1    Nathanson, M.2
  • 9
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    • A characterisation of Lyapunov diagonal stability using Hadamard products
    • Kraaijvanger J. A characterisation of Lyapunov diagonal stability using Hadamard products. Linear Algebra Appl. 151 (1991) 245-255
    • (1991) Linear Algebra Appl. , vol.151 , pp. 245-255
    • Kraaijvanger, J.1
  • 14
    • 54149097540 scopus 로고    scopus 로고
    • R. Shorten, K.S. Narendra, Diagonal stability and strict positive realness, in: Proceedings of IEEE Conference on Decision and Control, 2006.
    • R. Shorten, K.S. Narendra, Diagonal stability and strict positive realness, in: Proceedings of IEEE Conference on Decision and Control, 2006.
  • 15
    • 33244465200 scopus 로고    scopus 로고
    • The α diagonal stability of block matrices
    • Wanat M. The α diagonal stability of block matrices. Linear Algebra Appl. 414 (2006) 304-309
    • (2006) Linear Algebra Appl. , vol.414 , pp. 304-309
    • Wanat, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.