<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we propose an approach to obtain first order perturbation bounds for the discrete-time Linear Matrix Inequalities (LMI) based H∞ quadratic stability problem for descriptor systems. Applying the considered approach we are able to compute tight first order perturbation bounds for the LMIs’ solutions to the H∞ quadratic stability problem for discrete-time descriptor systems. In the paper we present an approach to compute the estimates of the individual condition numbers of the considered LMIs. To illustrate the performance and applicability of the results obtained we present a numerical example</p></abstract>

In this paper we propose an approach to obtain first order perturbation bounds for the discrete-time Linear Matrix Inequalities (LMI) based H∞ quadratic stability problem for descriptor systems. Applying the considered approach we are able to compute tight first order perturbation bounds for the LMIs’ solutions to the H∞ quadratic stability problem for discrete-time descriptor systems. In the paper we present an approach to compute the estimates of the individual condition numbers of the considered LMIs. To illustrate the performance and applicability of the results obtained we present a numerical example

First Order Perturbation Bounds of the Discrete-Time LMI-Based H∞ Quadratic Stability Problem for Descriptor Systems

Faculty of Automatics, Department of Systems and Control, Technical University of Sofia,1000 Sofia

Cybernetics and Information Technologies

In this paper we propose an approach to obtain first order perturbation bounds for the discrete-time Linear Matrix Inequalities (LMI) based H∞ quadratic...

First Order Perturbation Bounds of the Discrete-Time LMI-Based H∞ Quadratic Stability Problem for Descriptor Systems

Published Online: Mar 13, 2013

Page range: 3 - 12

DOI: https://doi.org/10.2478/cait-2012-0001

Keywords
Discrete-time descriptor systems, first order perturbation bounds, H∞ Quadratic Stability Problem, LMI based design

This content is open access.

First Order Perturbation Bounds of the Discrete-Time LMI-Based H∞ Quadratic Stability Problem for Descriptor Systems

Published Online: Mar 13, 2013

Page range: 3 - 12

DOI: https://doi.org/10.2478/cait-2012-0001

KeywordsDiscrete-time descriptor systems, first order perturbation bounds, H∞ Quadratic Stability Problem, LMI based design

This content is open access.

Keywords
Discrete-time descriptor systems, first order perturbation bounds, H∞ Quadratic Stability Problem, LMI based design