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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de la Sen, M., Ibeas, A. (2008)
Mathematical Problems in Engineering
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Li, Jun, Wu, Weigen, Yuan, Jimin, Tan, Qianrong, Yin, Xing (2010)
Discrete Dynamics in Nature and Society
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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.
Ratchagit, K., Phat, Vu N. (2010)
Journal of Inequalities and Applications [electronic only]
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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...
de la Sen, M. (2009)
Abstract and Applied Analysis
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de la Sen, M., Luo, Ningsu (2004)
International Journal of Mathematics and Mathematical Sciences
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Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion, Jesús de León (2009)
Kybernetika
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This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust...
Mehdi, D., Boukas, E.K. (2003)
Mathematical Problems in Engineering
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