• MANJEEL KUMAR

The main aim of this paper is to review the approach used for stability criteria using direct and indirect Lypunov’s methods for linear and nonlinear system. There are various techniques rather computational techniques for stability analysis of linear or nonlinear dynamical system but Lyapunov’s method are still highly useful for stability analysis. Although stability of linear time invariant (LTV) system can be examined by lyapunov direct or indirect method both but as far as concern of nonlinear system lyapunov indirect or first method is not feasible to check the stability. For direct Lyapunov method we require proper lyapunov function to check the stability so there are various techniques used by the researcher to construct lyapunov function like Krasovskii approach, Positive Dimensional Polynomial System approach, Variable gradient method etc.

Autonomous linear differential equation, Lyapunov function, Nonlinear time invariant systems, Stability

"REVIEW OF LYAPUNOV’S CRITERIA: A WAY TO ANALYZE THESTABILITY OF LINEAR AND NONLINEAR SYSEMS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 9, page no.107-109, September-2018, Available :http://www.jetir.org/papers/JETIR1809320.pdf

"REVIEW OF LYAPUNOV’S CRITERIA: A WAY TO ANALYZE THESTABILITY OF LINEAR AND NONLINEAR SYSEMS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 9, page no. pp107-109, September-2018, Available at : http://www.jetir.org/papers/JETIR1809320.pdf