Control Science and Engineering
Volume 3, Issue 2, December 2019, Pages: 20-28
Received: Sep. 27, 2019;
Accepted: Oct. 22, 2019;
Published: Oct. 28, 2019
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Yuan He, Deparment of Automation, Beijing Institute of Petro-chemical Technology, Beijing, China
Jintian Hu, Deparment of Automation, Beijing Institute of Petro-chemical Technology, Beijing, China
Shuxia Wang, Deparment of Mathematics and Physics, Beijing Institute of Petro-chemical Technology, Beijing, China
Liansheng Zhang, Deparment of Mathematics and Physics, Beijing Institute of Petro-chemical Technology, Beijing, China
It is well known that the phenomena of time delays are frequently encountered in many process and various control systems. The presence of delays can have an effect on system stability and performance, so ignoring them may lead to design flaws and incorrect analysis conclusions. Hence, the stability problem for time-delayed systems has received considerable attention in recent years. This brief focuses on the stability analysis for a class of delayed linear systems. Firstly, we construct a novel augmented Lyapunov-Krasovskii functional (LKF) which includes the lower, the upper bounds of the delay and the delay itself. Secondly, utilizing some integral inequalities and the reciprocally convex combination lemma, we obtain less conservative stability criteria formulated in form of linear matrix inequalities (LMIs). Finally, numerical examples are provided to show the effectiveness of the proposed method.
On Delay-Range-Dependent and Delay-Rate-Dependent Stability for Delayed Systems, Control Science and Engineering.
Vol. 3, No. 2,
2019, pp. 20-28.
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