This paper studies the set of time-invariant linear discrete-time systems in which each system has a diagonal quadratic Lyapunov function. First, it is shown that there is generally no common diagonal quadratic Lyapunov function for such a set of systems even if the set is assumed to be commutative.
On the simultaneous diagonal stability of a pair of positive linear systems
β Scribed by Oliver Mason; Robert Shorten
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 132 KB
- Volume
- 413
- Category
- Article
- ISSN
- 0024-3795
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