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Lyapunov function construction by linear programming. (English) Zbl 0885.93050
The paper deals with quadratic Liapunov functions of the form $V(x)= |Wx |_\infty$ where $$W$$ is a $$m\times n$$ full rank matrix $$(m\geq n)$$ and $$|\cdot |_\infty$$ is the infinity norm on $$\mathbb{R}^m$$. This function is applied to obtain stability of time-varying linear systems. Some examples show that such Liapunov functions, with $$W$$ suitably chosen, via linear programming methods, may improve known results.

##### MSC:
 93D30 Lyapunov and storage functions 90C05 Linear programming 93C99 Model systems in control theory 93B40 Computational methods in systems theory (MSC2010)
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