Sensitivity of Hurwitz Stability of Linear Differential Equation Systems with Periodic Coefficients

Authors : Ayşegül KETEN, Ahmet DUMAN, Kemal AYDIN

Pages : 423-428

View : 15 | Download : 5

Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :By using Hurwitz stability of a linear differential equation system insert ignore into journalissuearticles values(in short, LDES); with constant coefficients, and using Schur stability of a linear difference equation system insert ignore into journalissuearticles values(in short, LDIES); with constant coefficients, we have obtained two new continuity theorems for sensitivity of Hurwitz stability of a LDES with periodic coefficients. Our approach to the theorems is based on Floquet theory. Also, we have determined stability regions and supported the obtained results by a numerical example.
Keywords : differential equations, Floquet theory, Hurwitz stability, sensitivity, Schur stability