The robustness of strong stability of positive homogeneous difference equations.
Bui, The Anh, Duong, Dang Xuan Thanh (2008)
Journal of Applied Mathematics
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Displaying similar documents to “A Perron-Frobenius theorem for positive quasipolynomial matrices associated with homogeneous difference equations.”
The robustness of strong stability of positive homogeneous difference equations.
Stability results for switched linear systems with constant discrete delays.
de la Sen, M., Ibeas, A. (2008)
Mathematical Problems in Engineering
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Solution estimates for semilinear difference-delay equations with continuous time.
Gil', Michael, Cheng, Sui Sun (2007)
Discrete Dynamics in Nature and Society
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Exponential stability of difference equations with several delays: recursive approach.
Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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Stability analysis of linear neutral systems with multiple time delays.
Zhang, Keyue (2005)
Mathematical Problems in Engineering
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A sufficient condition for asymptotic stability of discrete-time interval system with delay.
Zhu, Wei (2008)
Discrete Dynamics in Nature and Society
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On robust stability of neutral systems
Silviu-Iulian Niculescu (2001)
Kybernetika
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This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.
Stability in linear neutral difference equations with variable delays
Abdelouaheb Ardjouni, Ahcene Djoudi (2013)
Mathematica Bohemica
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In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
New qualitative methods for stability of delay systems
Erik I. Verriest (2001)
Kybernetika
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A qualitative method is explored for analyzing the stability of systems. The approach is a generalization of the celebrated Lyapunov method. Whereas classically, the Lyapunov method is based on the simple comparison theorem, deriving suitable candidate Lyapunov functions remains mostly an art. As a result, in the realm of delay equations, such Lyapunov methods can be quite conservative. The generalization is here in using the comparison theorem directly with a different scalar equation...