Stability and Controllability of Nonlinear Systems

Main Article Content

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

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.

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

Article Details

How to Cite
Cotterell, S. T., Davies, I., & Abraham, L. C. (2020). Stability and Controllability of Nonlinear Systems. Asian Research Journal of Mathematics, 16(2), 51-60. https://doi.org/10.9734/arjom/2020/v16i230175
Section
Original Research Article

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