Title :
Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays
Author :
Chen, Tianping ; Wang, Lili
Author_Institution :
Fudan Univ., Shanghai
Abstract :
In this brief, dynamical systems with unbounded time-varying delays are investigated. Two approaches are developed to derive sufficient conditions ensuring the existence, uniqueness of the equilibrium and its global stability. Moreover, different from globally asymptotical stability and globally exponential stability, a new concept of stability, global power stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally power stable.
Keywords :
asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; artificial neural network; dynamical systems; globally asymptotical stability; globally exponential stability; linear matrix inequality; power-rate global stability; unbounded time-varying delays; Artificial neural networks; Asymptotic stability; Delay effects; Delay systems; Linear matrix inequalities; Neural networks; Power system modeling; Stability criteria; Sufficient conditions; Time varying systems; Equilibrium point; globally power stability; linear matrix inequality (LMI); unbounded time-varying delays;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.898476
