Abstract
We present a result on the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems. We show that this result characterizes, generalizes and provides new perspectives on several well-known stability results.
Acknowledgements
This work was partially supported by the European Union funded research training network Multi-Agent Control, HPRN-CT-1999-00107† and by the Enterprise Ireland grant SC/2000/084/Y. Neither the European Union or Enterprise Ireland is responsible for any use of data appearing in this publication.