On Phase Change Rate Maximization with Practical Applications

TL;DR

This paper explores phase change rate maximization and demonstrates its practical utility in analyzing system instability and optimizing performance in applications like magnetic levitation and synthetic biology.

Contribution

It introduces the concept of phase change rate maximization and applies it to analyze and improve stability in multi-agent systems and real-world engineering problems.

Findings

Maximized phase change rate helps analyze system instability.

Application to magnetic levitation shows improved stability insights.

Application to repressilator demonstrates relevance in synthetic biology.

Abstract

We recapitulate the notion of phase change rate maximization and demonstrate the usefulness of its solution on analyzing the robust instability of a cyclic network of multi-agent systems subject to a homogenous multiplicative perturbation. Subsequently, we apply the phase change rate maximization result to two practical applications. The first is a magnetic levitation system, while the second is a repressilator with time-delay in synthetic biology.