NDLI: Stability of single saturated-input linear systems with one zero eigenvalue

Content Provider	IEEE Xplore Digital Library
Author	Alvarez-Ramirez, J. Suarez, R. Alvarez, J.
Copyright Year	1993
Description	Author affiliation: Div. de Ciencias Basicas e Ingenieria, Univ. Autonoma Metropolitana, Mexico City, Mexico (Alvarez-Ramirez, J.; Suarez, R.; Alvarez, J.)
Abstract	In this work we address the stability properties of single saturated input linear systems with one zero open-loop eigenvalue. These systems arise naturally in hyperbolic linear systems with a proportional-integral feedback, or with input rate saturation. We prove that, if the eigenvalues of the open-loop hyperbolic subsystem have negative real part, all the trajectories of the closed-loop system are bounded. Similarly, if such eigenvalues have positive real part, it is proved that the asymptotic stability region of the closed-loop system is contained in a cylinder homeomorphic to R/spl times/D/sub n-1/, where D/sub n-1/ is the open (n-1)-dimensional disk.<>
Starting Page	1822
Ending Page	1823
File Size	164721
Page Count	2
File Format	PDF
ISBN	0780312988
DOI	10.1109/CDC.1993.325506
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1993-12-15
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems Eigenvalues and eigenfunctions Asymptotic stability Linear feedback control systems Control systems Vectors Automatic speech recognition State feedback H infinity control Geometry
Content Type	Text
Resource Type	Article

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

Linear systems with single saturated input: stability analysis

On the continuity and incremental-gain properties of certain saturated linear feedback loops

Guaranteed Asymptotic Stability for Systems with Constant Disturbances

H/sub infinity / state estimation for linear periodic systems

Stability of discrete-time hyperbolic linear systems with a saturated feedback

Simultaneous stabilization of systems with zeros at infinity or zero

H/sub /spl infin//-almost disturbance decoupling with internal stability for linear systems subject to input saturation

State Feed Back H-infinity Control of Discrete Singular Systems with State and Input Delays

Control of linear systems with input saturation and non-input-additive sustained disturbances — Discrete-time systems

Stability of single saturated-input linear systems with one zero eigenvalue

Similar Documents

Linear systems with single saturated input: stability analysis

On the continuity and incremental-gain properties of certain saturated linear feedback loops

Guaranteed Asymptotic Stability for Systems with Constant Disturbances

H/sub infinity / state estimation for linear periodic systems

Stability of discrete-time hyperbolic linear systems with a saturated feedback

Simultaneous stabilization of systems with zeros at infinity or zero

H/sub /spl infin//-almost disturbance decoupling with internal stability for linear systems subject to input saturation

State Feed Back H-infinity Control of Discrete Singular Systems with State and Input Delays

Control of linear systems with input saturation and non-input-additive sustained disturbances — Discrete-time systems

Stability of single saturated-input linear systems with one zero eigenvalue