Stability analysis of PE systems via Steklov's averaging technique

A.Y. Pogromsky; A.S. Matveev

doi:10.1002/acs.2694

Stability analysis of PE systems via Steklov's averaging technique

A.Y. Pogromsky, A.S. Matveev

Dynamics and Control

Research output: Contribution to journal › Article › Academic › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	138-144
Number of pages	7
Journal	International Journal of Adaptive Control and Signal Processing
Volume	31
Issue number	1
DOIs	https://doi.org/10.1002/acs.2694
Publication status	Published - 1 Jan 2017

Keywords

direct Lyapunov method
persistency of excitation

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10.1002/acs.2694

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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.",

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AB - 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.

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Stability analysis of PE systems via Steklov's averaging technique

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Keywords

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