Stability of periodic motions of quasilinear systems. (Russian, English) Zbl 1199.34262
Prikl. Mekh., Kiev 44, No. 10, 101-113 (2008); translation in Int. Appl. Mech. 44, No. 10, 1161-1172 (2008).
A stability problem of linear and quasilinear systems with periodic coefficients is investigated. Stability properties are established in terms of matrix-valued Lyapunov functions. For linear systems with quasiperiodic coefficients an algorithm for the construction of matrix-valued Lyapunov functions is developed. The application of the proposed approach is demonstrated by a numerical example.
Reviewer: E. Ya. Smirnov (St. Petersburg)
MSC:
| 34D20 | Stability of solutions to ordinary differential equations |
| 34C46 | Multifrequency systems of ordinary differential equations |
