3 papers
eess.SY2021
A Note on Order and Index Reduction for Descriptor Systems
Martin Corless, Robert Shorten
We present order reduction results for linear time invariant descriptor systems. Results are given for both forced and unforced systems as well methods for constructing the reduced…
math.OC2018
Observer-Based Controllers for Incrementally Quadratic Nonlinear Systems with Disturbances
Xiangru Xu, Behcet Acikmese, Martin J. Corless
Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based sta…
math.OC2017
Stability tests for a class of switched descriptor systems with non-homogenous indices
Shravan Sajja, Martin Corless, Ezra Zeheb +1
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…