Stability of planar switched systems: The nondiagonalizable case

@inproceedings{Balde2006StabilityOP,
  title={Stability of planar switched systems: The nondiagonalizable case},
  author={Moussa Balde and Ugo Boscain},
  year={2006}
}
Consider the planar linear switched system $\dot x(t)=u(t)Ax(t)+(1-u(t))Bx(t),$ where $A$ and $B$ are two $2\times 2$ real matrices, $x\in \mathbb R^2$, and $u(.):[0,\infty[\to$ {$0,1$} is a measurable function. In this paper we consider the problem of finding a (coordinate-invariant) necessary and sufficient condition on $A$ and $B$ under which the system is asymptotically stable for arbitrary switching functions $u(.)$. This problem was solved in previous works under the assumption… CONTINUE READING

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A note on stability conditions for planar switched systems

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