The purpose of this paper is to investigate and provide appropriate and required conditions for a certain order of linear differential equations to guarantee the stability characteristics of internal control systems. This refers to an exponentially stable global equilibrium (point or position) of a system with properties of input and output. The classical Liapunov theorem that allows us to reduce the study of stability to an algebraic problem (computation of the matrix's own values) is stated and proved. We also introduce the functions of the quadratic Lyapunov and matrix equations of Lyapunov that enhance the results of the given objective. Without proof, the Routh-Hurwitz criterion was given. Since the findings of this study vary from the results and methods obtained in the literature, the results of this study are fundamentally new.
Please see the link :- https://www.ikprress.org/index.php/JOBARI/article/view/5251
No comments:
Post a Comment