Title of Article |
Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls |
Date of Acceptance |
19 November 2018 |
Journal |
Title of Journal |
Advances in Difference Equations |
Standard |
ISI |
Institute of Journal |
SpringerOpen |
ISBN/ISSN |
1687-1847 |
Volume |
2018 |
Issue |
435 |
Month |
November |
Year of Publication |
2019 |
Page |
1-23 |
Abstract |
This paper presents a new guaranteed cost control for exponential stability of a nonlinear system with mixed time-delays in state and feedback control. The considered mixed time-delays are both discrete and distributed time-varying delays, but not necessarily differentiable. The proposed conditions allow us to design the state feedback controllers which stabilize the closed-loop system. By constructing an appropriate Lyapunov–Krasovskii functional, new delay-dependent sufficient conditions for the existence of guaranteed cost control are given in terms of linear matrix inequalities (LMIs). Moreover, we design new quadratic cost functions and minimize their upper bound. Finally, numerical examples are given to illustrate the effectiveness and improvement over some existing results in the literature. |
Keyword |
Guaranteed cost control; Exponential stability; Mixed time-varying delays; Feedback control |
Author |
|
Reviewing Status |
ไม่มีผู้ประเมินอิสระ |
Status |
ตีพิมพ์แล้ว |
Level of Publication |
นานาชาติ |
citation |
false |
Part of thesis |
true |
ใช้สำหรับสำเร็จการศึกษา |
ไม่เป็น |
Attach file |
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Citation |
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