Impulsive stabilization of high-order nonlinear retarded differential equations
Applications of Mathematics (2013)
- Volume: 58, Issue: 3, page 347-367
- ISSN: 0862-7940
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topLiu, Juan, and Li, Xiaodi. "Impulsive stabilization of high-order nonlinear retarded differential equations." Applications of Mathematics 58.3 (2013): 347-367. <http://eudml.org/doc/252523>.
@article{Liu2013,
abstract = {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.},
author = {Liu, Juan, Li, Xiaodi},
journal = {Applications of Mathematics},
keywords = {high-order nonlinear retarded differential equation; Lyapunov function; impulsive stabilization; exponential stability; higher-order nonlinear retarded differential equation; Lyapunov function; impulsive stabilization; exponential stability},
language = {eng},
number = {3},
pages = {347-367},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Impulsive stabilization of high-order nonlinear retarded differential equations},
url = {http://eudml.org/doc/252523},
volume = {58},
year = {2013},
}
TY - JOUR
AU - Liu, Juan
AU - Li, Xiaodi
TI - Impulsive stabilization of high-order nonlinear retarded differential equations
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 347
EP - 367
AB - 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.
LA - eng
KW - high-order nonlinear retarded differential equation; Lyapunov function; impulsive stabilization; exponential stability; higher-order nonlinear retarded differential equation; Lyapunov function; impulsive stabilization; exponential stability
UR - http://eudml.org/doc/252523
ER -
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