Title :
New Global Exponential Stability Criteria for Genetic Regulatory Networks with Mixed Delays
Author :
Yin Lizi ; Liu Yungang
Author_Institution :
Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China
Abstract :
In this paper, the global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovkii functional, new conditions of delay-dependent stability are obtained in form of linear matrix inequality (LMI). Bounded below of the derivatives of time-varying delay is taken into account for the first time in genetic networks stability analysis, and the main results with less conservatism are established by adopting interactive convex combination method to estimate the upper bound of derivative function of Lyapunov-Krasovkii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.
Keywords :
Lyapunov methods; asymptotic stability; delays; genetics; linear matrix inequalities; molecular biophysics; LMI; Lyapunov-Krasovkii functional; continuous distributed delays; delay-dependent stability conditions; derivative function; genetic networks stability analysis; genetic regulatory networks; global exponential stability criteria; interactive convex combination method; linear matrix inequality; mixed delays; time-varying delays; Asymptotic stability; Control theory; Delays; Genetics; Numerical stability; Stability analysis; Symmetric matrices; Genetic regulatory network; Linear matrix inequality; Lyapunov-Krasovkii functional; continuous distributed delays; global exponential stability; time-varying delays;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
