caa a22 4500 445294930 CHVBK 20180317142539.0 cr unu---uuuuu 170323e20100901xx s 000 0 eng 10.1007/s11571-010-9113-1 doi (NATIONALLICENCE)springer-10.1007/s11571-010-9113-1 Unconditional global exponential stability in Lagrange sense of genetic regulatory networks with SUM regulatory logic [Elektronische Daten] [Qi Luo, Rubei Zhang, Xiaoxin Liao] In this paper, the global exponential stability in Lagrange sense for genetic regulatory networks (GRNs) with SUM regulatory logic is firstly studied. By constructing appropriate Lyapunov-like functions, several criteria are presented for the boundedness, ultimate boundedness and global exponential attractivity of GRNs. It can be obtained that GRNs with SUM regulatory logic are unconditionally globally exponentially stable in Lagrange sense. These results can be applied to analyze monostable as well as multistable networks. Furthermore, to analyze the stability for GRNs more comprehensively, the existence of equilibrium point of GRNs is proved, and some sufficient conditions of the global exponential stability in Lyapunov sense for GRNs are derived. Finally two numerical examples are given to illustrate the application of the obtained results. Springer Science+Business Media B.V., 2010 Genetic regulatory networks nationallicence Lagrange stability nationallicence Unconditional global exponential stability nationallicence Lyapunov function nationallicence Luo Qi College of Information and Control, Nanjing University of Information Science and Technology, 210044, Nanjing, China aut Zhang Rubei College of Information and Control, Nanjing University of Information Science and Technology, 210044, Nanjing, China aut Liao Xiaoxin Department of Control Science and Engineering, Huazhong University of Science and Technology, 430074, Wuhan, China aut Cognitive Neurodynamics Springer Netherlands 4/3(2010-09-01), 251-261 1871-4080 4:3<251 2010 4 11571 https://doi.org/10.1007/s11571-010-9113-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11571-010-9113-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Luo Qi College of Information and Control, Nanjing University of Information Science and Technology, 210044, Nanjing, China aut NATIONALLICENCE 700 1- Zhang Rubei College of Information and Control, Nanjing University of Information Science and Technology, 210044, Nanjing, China aut NATIONALLICENCE 700 1- Liao Xiaoxin Department of Control Science and Engineering, Huazhong University of Science and Technology, 430074, Wuhan, China aut NATIONALLICENCE 773 0- Cognitive Neurodynamics Springer Netherlands 4/3(2010-09-01), 251-261 1871-4080 4:3<251 2010 4 11571 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer