Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices

Details Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices Stability Analysis of Linear Uncertain Systems via Checking Positivity of Forms on Simplices

2010-03-16

arxiv.org/abs/1003.3181v1

Computer Science

Symbolic Computation

8 pages.

Scientific paper

In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions of uncertain parameters which are varying in intervals. we present a method which can check the robust Hurwitz stability of such uncertain systems in finite steps. Examples show the efficiency of our approach.

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