The paper presents a novel approach to justification of asymptotic stability of linear time-varying systems with persistently excited right-hand side. This approach combines the direct Lyapunov method with the Steklov averaging technique; its distinguishing feature is closed-form construction of the Lyapunov functional, along with resultant explicit estimates of the rate of convergency.
|Number of pages||7|
|Journal||International Journal of Adaptive Control and Signal Processing|
|Publication status||Published - 1 Jan 2017|
- direct Lyapunov method
- persistency of excitation