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Research Article Open access CC BY 4.0

Stability and Controllability of Nonlinear Systems

S. T. Cotterell, I. Davies, L. C. Abraham

Asian Research Journal of Mathematics · pp. 51–60 · Published 20 Feb 2020

10.9734/arjom/2020/v16i230175

Abstract

This paper is aimed at establishing new stability and controllability results for nonlinear systems. The approach is to use the Lyapunov indirect method to obtain the stability of the equilibrium solution of the uncontrolled nonlinear system by applying the Jacobi’s linearization method and the controllability of the controlled system obtained by the rank criterion for properness. Example is given with a real-life application to illustrate the effectiveness of the theoretical results.

Stability Lyapunov indirect method controllability mass-spring-damper non-linear system.

Cited by 1

Enhanced Stability Analysis of Nonlinear Dynamic Systems Through Hessian Methodologies

· Journal on Electronic and Automation Engineering · 2025

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