Glasnik Matematicki, Vol. 40, No.1 (2005), 121-132.

GLOBAL DEPENDENT STABILITY CRITERION FOR TIME DISCRETE LINEAR SYSTEMS

X. H. Tang and S. S. Cheng

Department of Applied Mathematics, Central South University, Changsha, Hunan 410083, P.R. China
e-mail: tangxh@mail.csu.edu.cn

Department of Mathematics, Tsing Hua University, Hsinchu 30043, Taiwan, ROC

Abstract.   It is shown that every solution of the linear difference system with constant coefficients and delays tends to zero if a certain matrix derived from the coefficient matrix is a M-matrix and the diagonal delays satisfy delay dependent conditions.

2000 Mathematics Subject Classification.   39A10, 39A11.

Key words and phrases.   M-matrix, delay, stability.

Full text (PDF) (free access)

DOI: 10.3336/gm.40.1.11

References:

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  2. J. W. Wu and K. S. Hong, Delay-independent exponential stability criteria for time varying discrete delay systems, IEEE Trans. Automatic Control 39 (1994), 811-814.
    CrossRef

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