Open AccessNew Criterion of Robust Hܣ Stabilization for Uncertain Neutral Systems
Author(s) -
Jiyong Lu
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i630304
Subject(s) - control theory (sociology) , disturbance (geology) , stability theory , stability (learning theory) , linear matrix inequality , lyapunov function , mathematics , lyapunov stability , class (philosophy) , exponential stability , state (computer science) , closed loop , robust control , computer science , control (management) , control system , mathematical optimization , nonlinear system , control engineering , physics , engineering , paleontology , algorithm , quantum mechanics , artificial intelligence , machine learning , biology , electrical engineering
The problems of delay-dependent robust stability and stabilization for a class of uncertain neutral systems are investigated in this paper. At first, by constructing a new Lyapunov functional and using the Lyapunov stability theory, a new delay-dependent condition which renders the system with no external disturbance and input to be asymptotically stable is obtained and given by a linear matrix inequality. Then, based on the obtained condition, a state feedback stabilize law is designed, which guarantees closed-loop neutral systems are asymptotically stable for all the permitted uncertainties when the external disturbance is naught, and it can also guarantee the closed-loop systems have performance under the external disturbance. The model of neutral systems with both the uncertainty and the disturbance discussed in this paper has rarely been considered before.