The Lyapunov spectrum of blockdiagonal semilinear control systems
The Lyapunov spectrum of a semilinear control system is approximated via its Floquet and Morse spectra. If the semilinear control system possesses a singular (i.e. invariant) subspace then the analysis of the Floquet and the Morse spectra can be reduced to the lower-dimensional systems generated by the singular subspaces. In particular, it is shown that all Lyapunov exponents are attained on the singular subspaces.
scientific article; zbMATH DE number 1431858