Bounded Stability in Networked Systems with Parameter Mismatch and Adaptive Decentralized Estimation

TL;DR

This paper investigates the bounded stability of mismatched networked systems using Lyapunov methods, deriving error bounds and analyzing adaptive decentralized control, with verification on Lorenz oscillator networks.

Contribution

It introduces a novel analysis of bounded stability and adaptive compensation in mismatched networked systems, supported by analytical derivations and simulations.

Findings

Error bounds for mismatched oscillators are derived.

Adaptive decentralized control improves network stability.

Analytical results are validated with Lorenz oscillator networks.

Abstract

Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. The upper bound on the error of oscillators from the center of the neighborhood is derived. Then the performance of an adaptive compensation via decentralized control is analyzed. Finally, the analytical results for a network of globally connected Lorenz oscillators are verified.