NDLI: A novel stability study on multiple time-delay systems (MTDS) using the root clustering paradigm

Content Provider	IEEE Xplore Digital Library
Author	Sipahi, R. Olgac, N.
Copyright Year	2004
Description	Author affiliation: Dept. of Mech. Eng., Connecticut Univ., Storrs, CT, USA (Sipahi, R.; Olgac, N.)
Abstract	A novel treatment is presented for the stability of linear time invariant (LTI) systems with rationally independent multiple time delays. The stability analysis of the time-delayed systems (TDS) is quite complex, because they are infinite dimensional. Multiplicity and 'rationally independent' feature of the delays makes the problem even more challenging compared to the TDS with commensurate time delays (where time delays are rationally related). Recently the authors introduced a new perspective, which brings a unique, exact and structured methodology for the stability analysis of commensurate time delayed cases. The transition from this class of TDS to those with multiple delays using a similar perspective motivates the present study. The new framework is described and the enabling propositions are proven. We show that this procedure reveals all possible stability regions exclusively in the space of independent multiple time delays. As an added strength, it does not require the MTDS under consideration to be stable for zero delays. We present an example numerical case study, which is considered prohibitively difficult to solve using the peer methodologies.
Sponsorship	American Automatic Control Council IFAC
Starting Page	5422
Ending Page	5427
File Size	434397
Page Count	6
File Format	PDF
ISBN	0780383354
ISSN	07431619
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Delay effects Equations Delay systems Stability analysis Damping Mechanical engineering Computed tomography Polynomials Switches Mathematics
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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

A novel stability study on multiple time-delay systems (MTDS) using the root clustering paradigm

The direct method for stability analysis of time delayed LTI systems

An improved procedure in detecting the stability robustness of systems with uncertain delay

Stability analysis of multiple time delayed systems using 'building block' concept

Stability Robustness Analysis of Multiple Time- Delayed Systems Using “Building Block” Concept

Stability Analysis of Cross Beam System with Two Time Delays

Advanced Clustering With Frequency Sweeping Methodology for the Stability Analysis of Multiple Time-Delay Systems

Root clustering of a real matrix in a sector

Stabilization of time delay systems

A novel stability study on multiple time-delay systems (MTDS) using the root clustering paradigm

Similar Documents

A novel stability study on multiple time-delay systems (MTDS) using the root clustering paradigm

The direct method for stability analysis of time delayed LTI systems

An improved procedure in detecting the stability robustness of systems with uncertain delay

Stability analysis of multiple time delayed systems using 'building block' concept

Stability Robustness Analysis of Multiple Time- Delayed Systems Using “Building Block” Concept

Stability Analysis of Cross Beam System with Two Time Delays

Advanced Clustering With Frequency Sweeping Methodology for the Stability Analysis of Multiple Time-Delay Systems

Root clustering of a real matrix in a sector

Stabilization of time delay systems

A novel stability study on multiple time-delay systems (MTDS) using the root clustering paradigm