Title :
Exponential Stability of Discrete-Time Genetic Regulatory Networks With Delays
Author :
Cao, Jinde ; Ren, Fengli
Author_Institution :
Southeast Univ., Nanjing
fDate :
3/1/2008 12:00:00 AM
Abstract :
Discrete-time versions of the continuous-time genetic regulatory networks (GRNs) with SUM regulatory functions are formulated and studied in this letter. Sufficient conditions are derived to ensure the global exponential stability of the discrete-time GRNs with delays. An illustrative example is given to demonstrate the effectiveness of the obtained results.
Keywords :
continuous time systems; delays; discrete time systems; stability; SUM regulatory functions; continuous-time genetic regulatory networks; delays; discrete-time genetic regulatory networks; discrete-time versions; global exponential stability; Exponential stability; genetic network; time delays; Animals; Gene Regulatory Networks; Humans; Neural Networks (Computer); Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2007.911748