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

Content Provider	IET Digital Library
Author	Peng, Dan Hua, Changchun
Abstract	Two recent Lyapunov-based methods: free weighting matrix approach and Jensen inequality approach, have reduced the conservatism and the complexity of the stability result for one-dimensional (1D) time-delay systems, respectively. In this study, the authors further concern the analysis of delay-dependent stability and stabilisation for two-dimensional (2D) discrete systems with interval time-varying delays. By applying a new Lyapunov functional combining with the approaches of 2D Jensen inequalities and free weighting matrices, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). Compared with the existing result, less decision variables are involved in the stability condition, so the burden of numerical computation is reduced greatly. It is also rigorously proved that the author's result is less conservative than some recent ones. On the basis of the stability criterion, state feedback is considered to realise the stability control and the state feedback gain can be solved by LMIs. Numerical examples show the effectiveness and advantage of their results.
Starting Page	1839
Ending Page	1845
Page Count	7
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 12, Aug (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.0886
Journal	IET Control Theory & Applications
Publisher Date	2015-05-22
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	1D Time-delay Systems 2D Discrete Systems Delay Delay-dependent Stability Criteria Discrete Control System Discrete Time System Distributed Parameter Control System Free Weighting Matrix Approach Interval Time-varying Delay Jensen Inequality Approach Linear Algebra Linear Matrix Inequalities LMI Lyapunov Functional Lyapunov Method Lyapunov-based Method Multidimensional System Numerical Analysis One-dimensional Time-delay System Stability Stability Control Stability Criteria Stability in Control Theory State Feedback State Feedback Gain Time Varying Control System Time Varying System Two-dimensional Discrete-time 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

LMI-based criteria for robust finite-time stabilisation of switched systems with interval time-varying delay

Comment on ‘Criteria for robust finite-time stabilisation of linear singular systems with interval time-varying delay’

Delay and data packet dropout separately related stability and state feedback stabilisation of networked control systems

Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay

Criteria for robust finite-time stabilisation of linear singular systems with interval time-varying delay

Further improvement in stability criteria for linear systems with interval time-varying delay

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

Improved Free-Weighting Matrix Approach for Stability Analysis of Discrete-Time Recurrent Neural Networks With Time-Varying Delay

On improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

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

Similar Documents

LMI-based criteria for robust finite-time stabilisation of switched systems with interval time-varying delay

Comment on ‘Criteria for robust finite-time stabilisation of linear singular systems with interval time-varying delay’

Delay and data packet dropout separately related stability and state feedback stabilisation of networked control systems

Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay

Criteria for robust finite-time stabilisation of linear singular systems with interval time-varying delay

Further improvement in stability criteria for linear systems with interval time-varying delay

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

Improved Free-Weighting Matrix Approach for Stability Analysis of Discrete-Time Recurrent Neural Networks With Time-Varying Delay

On improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

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