NDLI: Quasi-convex combination method and its application to the stability analysis of 2D discrete-time Roesser systems with time-varying delays

Content Provider	IET Digital Library
Author	Huang, Yi Bo An, Jianqi He, Yong Wu, Min
Abstract	This study is concerned with the problem of stability analysis of two-dimensional (2D) discrete-time Roesser systems with time-varying delays. First, based on an augmented Lyapunov–Krosovskii functional, a less conservative stability criterion incorporating time-varying terms is established by utilising a general free-matrix-based inequality. Next, in order to eliminate the time-varying terms without introducing redundant constraints, a quasi-convex combination method is proposed. Then, compared with the criteria derived via the other inequalities, the conservatism analysis is given to prove the proposed criterion can lead to a better result theoretically. Finally, a numerical example is presented to illustrate the advantage of the presented method.
Starting Page	718
Ending Page	727
Page Count	10
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 6, Apr (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0653
Journal	IET Control Theory & Applications
Publisher Date	2017-12-19
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	2D Discrete-time Roesser Systems Augmented Lyapunov-Krosovskii Functional Conservatism Analysis Delay Discrete Control System Discrete Time System Distributed Parameter Control System General Free-matrix-based Inequality Less Conservative Stability Criterion Linear Algebra Lyapunov Method Matrix Algebra Numerical Analysis Quasi-convex Combination Method Stability Stability Analysis Stability Criteria Stability in Control Theory Time Varying Control System Time Varying System Time-varying Delay Two-dimensional Discrete-time Roesser System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities

Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays

Improved approach to delay-dependent stability and stabilisation of two-dimensional discrete-time systems with interval time-varying delays

Overview of recent advances in stability of linear systems with time-varying delays

Delay dependent stability conditions of static recurrent neural networks: a non-linear convex combination method

New result on exponential stability for singular systems with two interval time-varying delays

Delay-dependent exponential stability for neutral stochastic system with multiple time-varying delays

Stability analysis of linear systems with time-varying delay via a quadratic function negative-definiteness determination method

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

Quasi-convex combination method and its application to the stability analysis of 2D discrete-time Roesser systems with time-varying delays

Similar Documents

Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities

Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays

Improved approach to delay-dependent stability and stabilisation of two-dimensional discrete-time systems with interval time-varying delays

Overview of recent advances in stability of linear systems with time-varying delays

Delay dependent stability conditions of static recurrent neural networks: a non-linear convex combination method

New result on exponential stability for singular systems with two interval time-varying delays

Delay-dependent exponential stability for neutral stochastic system with multiple time-varying delays

Stability analysis of linear systems with time-varying delay via a quadratic function negative-definiteness determination method

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

Quasi-convex combination method and its application to the stability analysis of 2D discrete-time Roesser systems with time-varying delays