Geodesic
Impulsive stabilization of high-order nonlinear retarded differential equations
Applications of Mathematics, Tome 58 (2013) no. 3, pp. 347-367

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In this paper, impulsive stabilization of high-order nonlinear retarded differential equations is investigated by using Lyapunov functions and some analysis methods. Our results show that several non-impulsive unstable systems can be stabilized by imposition of impulsive controls. Some recent results are extended and improved. An example is given to demonstrate the effectiveness of the proposed control and stabilization methods.
DOI : 10.1007/s10492-013-0017-3
Classification : 34A37, 34H15, 34K20, 34K45
Keywords: high-order nonlinear retarded differential equation; Lyapunov function; impulsive stabilization; exponential stability 
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Liu, Juan; Li, Xiaodi. Impulsive stabilization of high-order nonlinear retarded differential equations. Applications of Mathematics, Tome 58 (2013) no. 3, pp. 347-367. doi: 10.1007/s10492-013-0017-3

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