arXiv subjects

Ezra Zeheb

Publications and source records attributed to Ezra Zeheb.

2 recordsLinked to original sources

arXiv2017

Stability tests for a class of switched descriptor systems with non-homogenous indices

In this paper we derive stability conditions for a switched system where switching occurs between linear descriptor systems of different indices. In particular, our results can be used to analyse the stability of the important case when switching between a standard system and an index one descriptor system, and systems where switching occurs between an index one and and an index two descriptor system. Examples are given to illustrate the use of our results.

math.OC↗

arXiv2017

On the SPRification of linear descriptor systems via output feedback

We consider input-output systems in descriptor form and ask when such systems can be rendered SPR (strictly positive real) via output feedback. Time and frequency domain conditions are given to determine when and how this is possible. In addition, a synthesis procedure for controller design is also derived. Together, the results provide a complete answer to when a linear descriptor system can be made SPR via output feedback, and give a recipe for design of the feedback controller when it exists. Simple examples are given to illustrate our results and to demonstrate their efficacy.

math.DS↗