Asymptotic stability of solutions to a class of linear time-delay systems with periodic coefficients and a large parameter

作者：Demidenko Gennadii V^*; Matveeva Inessa I

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, 2015(1): 331.

DOI：10.1186/s13660-015-0853-7

• time-delay equations
• periodic coefficients
• asymptotic stability
• Lyapunov differential equation
• Riccati type matrix differential inequality

A class of linear time-delay systems with periodic coefficients and a large parameter is studied. We establish conditions under which the zero solution is asymptotically stable. This result allows us to study the asymptotic stability of the zero solution to the time-delay systems without spectral methods and Lyapunov-Krasovskii functionals.

• 出版日期2015-10-13