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Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations
2016
Applied Mathematics
This paper is concerned with the stability analysis of nonlinear third order ordinary differential equations of the form Lyapunov function for this purpose and show that it guarantees asymptotic stability. Our approach is to first consider the linear version of the above ODE, by taking ( ) g x bx = and study its Lyapunov stability. Exploiting the similarities between linear and nonlinear ODE, we construct a Lyapunov function for the stability analysis of the given nonlinear differential equation.
doi:10.4236/am.2016.716161
fatcat:qt4tc5hxqbd7bhgc33ikpmlk5e