A New Approach To Asymptotic Diagonalization Of Linear Differential Systems
Journal Of Dynamics And Differential Equations
Mathematics and Computer Science
We study the asymptotic diagonalization of a system consisting of anLploc-matrix plus a finite number ofLmi-perturbations on an interval I 0=[t 0, ∞), where p, m i∈[1, ∞). Using linear skew-product flows and spectral theory, we show that if the unperturbed system has full spectrum over its omega-limit set, then the entire system is asymptotically diagonalizable almost everywhere.
Bodine, Sigrun, and Robert J. Sacker. 2000. "A new approach to asymptotic diagonalization of linear differential systems." Journal Of Dynamics And Differential Equations 12(1): 229-245.