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Stability analysis of PE systems via Steklov's averaging technique

Research paper by A. Yu. Pogromsky, A. S. Matveev

Indexed on: 20 May '16Published on: 19 May '16Published in: International Journal of Adaptive Control and Signal Processing



Abstract

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. © 2016 The Authors. International Journal of Adaptive Control and Signal Processing published by John Wiley & Sons, Ltd. © 2016 The Authors. International Journal of Adaptive Control and Signal Processing published by John Wiley & Sons, Ltd.