Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays

Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays

This paper investigates the problem of delay-dependent stability for discrete-time systems with time-varying delays. A novel augmented Lyapunov-Krasovskii functional is proposed in deriving stability criteria in which the feasible region is enhanced. Also, an improved summation inequality is develop...

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Main Authors: Myeong-Jin Park, Seung-Hoon Lee, Oh-Min Kwon, Ji-Hyoung Ryu
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Stability analysis
Lyapunov method
discrete time systems
delay systems
Online Access:https://ieeexplore.ieee.org/document/8089341/
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spelling doaj-b25b1f12ceec4437a24946049f32d3772021-03-29T19:57:56ZengIEEEIEEE Access2169-35362017-01-015243892440010.1109/ACCESS.2017.27675648089341Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying DelaysMyeong-Jin Park0Seung-Hoon Lee1Oh-Min Kwon2https://orcid.org/0000-0002-4777-7912Ji-Hyoung Ryu3Center for Global Converging Humanities, Kyung Hee University, Yongin, South KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju, South KoreaSchool of Electrical Engineering, Chungbuk National University, Cheongju, South KoreaElectronics and Telecommunications Research Institute, Gwangju, South KoreaThis paper investigates the problem of delay-dependent stability for discrete-time systems with time-varying delays. A novel augmented Lyapunov-Krasovskii functional is proposed in deriving stability criteria in which the feasible region is enhanced. Also, an improved summation inequality is developed and applied to find the lower bound of summation inequalities. Via two numerical examples, improved results will be shown by comparing with maximum delay bounds.https://ieeexplore.ieee.org/document/8089341/Stability analysisLyapunov methoddiscrete time systemsdelay systems
collection DOAJ
language English
format Article
sources DOAJ
author Myeong-Jin Park
Seung-Hoon Lee
Oh-Min Kwon
Ji-Hyoung Ryu
spellingShingle Myeong-Jin Park
Seung-Hoon Lee
Oh-Min Kwon
Ji-Hyoung Ryu
Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
IEEE Access
Stability analysis
Lyapunov method
discrete time systems
delay systems
author_facet Myeong-Jin Park
Seung-Hoon Lee
Oh-Min Kwon
Ji-Hyoung Ryu
author_sort Myeong-Jin Park
title Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
title_short Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
title_full Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
title_fullStr Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
title_full_unstemmed Augmented Lyapunov-Krasovskii Functional Approach to Stability of Discrete Systems With Time-Varying Delays
title_sort augmented lyapunov-krasovskii functional approach to stability of discrete systems with time-varying delays
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2017-01-01
description This paper investigates the problem of delay-dependent stability for discrete-time systems with time-varying delays. A novel augmented Lyapunov-Krasovskii functional is proposed in deriving stability criteria in which the feasible region is enhanced. Also, an improved summation inequality is developed and applied to find the lower bound of summation inequalities. Via two numerical examples, improved results will be shown by comparing with maximum delay bounds.
topic Stability analysis
Lyapunov method
discrete time systems
delay systems
url https://ieeexplore.ieee.org/document/8089341/
work_keys_str_mv AT myeongjinpark augmentedlyapunovkrasovskiifunctionalapproachtostabilityofdiscretesystemswithtimevaryingdelays
AT seunghoonlee augmentedlyapunovkrasovskiifunctionalapproachtostabilityofdiscretesystemswithtimevaryingdelays
AT ohminkwon augmentedlyapunovkrasovskiifunctionalapproachtostabilityofdiscretesystemswithtimevaryingdelays
AT jihyoungryu augmentedlyapunovkrasovskiifunctionalapproachtostabilityofdiscretesystemswithtimevaryingdelays
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