Extension of solution properties and stability concepts in nonlinear systems by using of measure functions, By Valiollah Ghaffari

Research

Title	Extension of solution properties and stability concepts in nonlinear systems by using of measure functions
Type	Article
Keywords	—
Journal	Nonlinear Studies
DOI	—
Researchers	Vahid Meigoli (First researcher) , Valiollah Ghaffari (Second researcher)

Abstract

‎The Lyapunov stability theory has been a well-known and powerful method for justifying the solution property and also stability analysis of an equilibrium point in the nonlinear systems‎. ‎The stability notions may usually be expressed in terms of some norm functions in the conventional Lyapunov stability theory‎. ‎In this paper‎, ‎the boundedness and stability concepts would been investigated within a defined set instead of the equilibrium point‎. ‎Then‎, ‎based on the measure functions concept‎, ‎the boundedness and also stability properties of the solution will be extended to develop a modified stability theory in the nonlinear systems‎.