We analyze 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.
|Titolo:||Analysing the Stability of Linear Systems via Exponential Chebyshev Polynomials|
|Autori interni:||PROTASOV, Vladimir|
|Data di pubblicazione:||2016|
|Rivista:||IEEE TRANSACTIONS ON AUTOMATIC CONTROL|
|Appare nelle tipologie:||1.1 Articolo in rivista|