Abstract
In this paper, the problem of exponential stability for neutral system with time-varying delay and nonlinear perturbations is investigated. By using the technology of model transformations, based on a linear matrix inequality (LMI) and a generalized Lyapunov-Krasovskii function, a new criterion for exponential stability with delay dependence is obtained. Due to a new integral inequality, the result is less conservative. Finally, some numerical examples are presented to illustrate the effectiveness of the method.
Highlights
Time delay is frequently viewed as a source of instability, and it is encountered in various engineering systems such as electrical circuits, chemical processes, networked control systems power systems, and other areas [, ]
In [ ] the stability conditions are developed by a descriptor model transformation technique, and the nonlinear uncertainties are handled by the S-procedure
Some numerical examples are presented to illustrate the effectiveness of the method
Summary
Time delay is frequently viewed as a source of instability, and it is encountered in various engineering systems such as electrical circuits, chemical processes, networked control systems power systems, and other areas [ , ]. In [ ] the stability conditions are developed by a descriptor model transformation technique, and the nonlinear uncertainties are handled by the S-procedure. Considering those, many researchers have studied the exponential stability analysis for neutral systems with time-varying and nonlinear perturbations [ – ]. Chen et al [ ] presented a new criterion for exponential stability for uncertain neutral systems with nonlinear perturbations by employing an integral inequality. Ali [ ] investigated the exponential stability for a neutral delay differential system with nonlinear uncertainties by following a generalized eigenvalue problem approach. The exponential stability of neutral system with nonlinear uncertainties is discussed in this paper, and by employing a Lyapunov-Krasovskii function, the LMI method, and a new integral inequality, a sufficient condition for exponential stability of the system is provided.
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