@inproceedings{
kin04,
   Author = {King, Christopher and Shorten, Robert},
   Title = {A singularity test for the existence of common quadratic Lyapunov functions for pairs of stable LTI systems},
   BookTitle = {Amer. Control Conf.},
   Series= {Proceedings of the American Control Conference},
   Address= {Boston, MA, United states},
   Publisher = {Institute of Electrical and Electronics Engineers Inc.},
   Volume = {4},
   Pages = {3881-3884},
   Note  = {Compilation and indexing terms, Copyright 2009 Elsevier Inc.
2004498700360
Common quadratic Lyapunov functions (CQLF)
Finite numbers
Linear time-invariant (LTI) systems
Lyapunov functions},
   Abstract = {In this paper we derive algebraic conditions that are both necessary and sufficient for a pair of stable third order linear time-invariant (LIT) systems to have a common quadratic Lyapunov function (CQLF). We also show how these results can be extended to derive necessary and sufficient conditions for the existence of a CQLF for pairs of LTI systems of arbitrary order.},
   Keywords = {Linear control systems
Algebra
Asymptotic stability
Feedback
Frequency domain analysis
Functions
Lyapunov methods
Theorem proving
Vectors},
   Year = {2004} }