Stability of Diffusion Time-Delayed Partial DifferentialEquations using Halanay’s Inequality and combiningKrasovsky and descriptive methods

This paper presents a method to evaluate the exponential stability of delayed diffusion partial differentialequations systems. First, using Halanay’s inequality, conditions independent of exponential stability delayare developed for this type of system, which makes it possible to study the stability of delayed systemsusing Lyapunov functions. Then, from the proposed stability criterion for the development of the method,the condition depends on the delay stability of the exponential stability for this type of systems bycombining the Krasovsky and descriptive methods for the delayed systems. The proposed design methodensures that the state paths reach the origin. The random stability conditions of the system are also presentedin the form of linear matrix inequalities. To show the efficiency of the results, its application in controllingthe blade angle of a variable speed wind turbine will be presented

کلیدواژه ها:

Delayed system ، Partial differential equations systems ، Linear Matrix inequalities ، Halanay’s inequality ، Wind turbine blade angle control.