Highly Influential

3 Excerpts

- Published 2016 in IEEE Trans. Automat. Contr.

We analyse the problem of stability of a continuous time linear switching system (LSS) versus the stability of its Euler discretization. In case of matrices with real spectrum, we obtain a lower bound for the Euler step size to decide stability. This leads to a method for computing the Lyapunov exponent with a given accuracy and with a guaranteed computational cost. Our approach is based on the analysis of Chebyshev systems of exponents.

@article{Protasov2016AnalysingTS,
title={Analysing the Stability of Linear Systems via Exponential Chebyshev Polynomials},
author={Vladimir Protasov and Rapha{\"{e}l M. Jungers},
journal={IEEE Trans. Automat. Contr.},
year={2016},
volume={61},
pages={795-798}
}