Explicit Conditions of Exponential Stability for a Linear Impulsive Delay Differential Equation
نویسندگان
چکیده
منابع مشابه
International Conference on Pure and Applied Mathematics (ICPAM 2015) INEQUALITIES AND EXPONENTIAL DECAY OF CERTAIN DIFFERENTIAL EQUATIONS OF FIRST ORDER IN TIME VARYING DELAY
In this paper, we give sufficient conditions to guarantee exponential decay of solutions to zero of the time varying delay differential equation of first order. By using the Lyapunov-Krasovskii functional approach, we establish new results on the exponential decay of solutions, which include and improve some related results in the literature. of linear impulsive differential equations with dist...
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Corresponding author: Elena Braverman Technion Israel Institute of Technology, Department of Mathematics, 32000, Haifa, Israel e-mail : [email protected] Abstract For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0,∞) together with its derivative for each bounded right-hand side t...
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