Exponential Stability and Decentralized Control for Nonlinear Singular Large-scale Systems
Guoping Lü · Journal of Nanjing University of Science and Technology · 2009
This paper discusses the exponential stability and decentralized control for the nonlinear singular large-scale systems.The nonlinearities are functions of time and system state that satisfy Lipschitz constraint straint.A decentralized controller is designed.Based on the fixed-point theorem and linear matrix inequality(LMI),the existence and uniqueness of the solution for the systems are given.A sufficient condition is proposed by Lyapunov function approach,which guarantees the exponential stability for the singular large-scale systems.Furthermore,a parameterized representation of decentralized controller based on state feedback is obtained in terms of the feasible solutions to the LMI.