On the simultaneous diagonal stability of a pair of positive linear systems

By Oliver Mason, Robert N. Shorten. 2006

75 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/0b064f1e7e32208cd6474a6df6a4796c7f93b693

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In Control and Systems Engineering

1. Elena Virnik
2. Oliver Mason
3. Robert N. Shorten
4. Z. Xiang
5. Shilong Liu
6. Xingwen Liu
7. Lixian Zhang

Citations in the corpus

• Stability analysis of positive descriptor systems (2008, background): “Stability properties and also many other control theoretical issues such as model reduction methods or the quadratic optimal control problem are, furthermore, closely related to the solution of Lyapunov equations, see. e.g., [3,23,24,29,34].”
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems (2007, result): “It is interesting to compare this with the recent result in [7], which established that the nonexistence of a common diagonal Lyapunov function for a pair of positive LTI systems implied the existence of a diagonal D > 0 such that A1+DA2D is singular.”