- Konuralp Journal of Mathematics
- Vol: 8 Issue: 2
- Sensitivity of Hurwitz Stability of Linear Differential Equation Systems with Periodic Coefficients
Sensitivity of Hurwitz Stability of Linear Differential Equation Systems with Periodic Coefficients
Authors : Ayşegül Keten, Ahmet Duman, Kemal Aydin
Pages : 423-428
View : 27 | Download : 14
Publication Date : 2020-10-27
Article Type : Research
Abstract :By using Hurwitz stability of a linear differential equation system (in short, LDES) with constant coefficients, and using Schur stability of a linear difference equation system (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