Displaying similar documents to “On some qualitative behaviors of solutions to a kind of third order nonlinear delay differential equations.”

An application of the second Lyapunov method to stability investigation of differential equations with deviations

Denis Khusainov (1998)

Archivum Mathematicum

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The paper presents overview of applications of A. M. Lyapunov’s direct method to stability investigation of systems with argument delay. Methods of building Lyapunov-Krasovskiy funcionals for linear systems with constant coefficients are considered. Lyapunov quadratic forms are used to obtain applicable methods for stability investigation and estimation of solution convergence for linear stationary systems, as well as non-linear control systems and systems with quadratic and rational...

Stability analysis for neutral stochastic systems with mixed delays

Huabin Chen, Peng Hu (2013)

Kybernetika

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This paper is concerned with the problem of the exponential stability in mean square moment for neutral stochastic systems with mixed delays, which are composed of the retarded one and the neutral one, respectively. Based on an integral inequality, a delay-dependent stability criterion for such systems is obtained in terms of linear matrix inequality (LMI) to ensure a large upper bounds of the neutral delay and the retarded delay by dividing the neutral delay interval into multiple segments....