Asymptotic stability and generalized Gelfand spectral radius formula

Linear Algebra and Its Applications

Volumn 252, Issue 1-3, 1997, Pages 61-70

  Shih, Mau Hsiang ^a   Wu, Jinn Wen ^a   Pang, Chin Tzong ^b  

^a CHUNG YUAN CHRISTIAN UNIVERSITY   (Taiwan)

^b YUAN ZE UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040944392     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00592-7     Document Type: Article

References (8)

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2. I. Daubechies and J. C. Lagarias, Sets of matrices all infinite products of which converge, Linear Algebra Appl. 162:227-263 (1992).
3. M. A. Berger and Y. Wang, Bounded semigroups of matrices, Linear Algebra Appl. 166:21-27 (1992).
4. R. K. Brayton and C. H. Tong, Constructive stability and asymptotic stability of dynamical systems, IEEE Trans. Circuits Syst. Nov.:1121-1130 (1980).
5. R. K. Brayton and C. H. Tong, Stability of dynamical systems: A constructive approach, IEEE Trans. Circuits Syst. April:224-234 (1979).
6. J. C. Lagarias and Y. Wang, The finiteness conjecture for the generalized spectral radius of a set of matrices, Linear Algebra Appl. 214:17-42 (1995).
7. M.-H. Shih, J.-W. Wu, and C.-T. Pang, Euler's Linearization Method and Asymptotic Stability of Dynamical Systems, Preprint.
8. L. Elsner, The Generalized Spectral Radius Theorem, an Analytic-Geometric Proof, Preprint.