Open AccessStability and Controllability of Nonlinear Systems
Author(s) -
S. T. Cotterell,
Iyai Davies,
Lino Abraham
Publication year - 2020
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i230175
Subject(s) - controllability , nonlinear system , control theory (sociology) , linearization , stability (learning theory) , lyapunov function , mathematics , rank (graph theory) , computer science , control (management) , artificial intelligence , physics , quantum mechanics , machine learning , combinatorics
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.