Stability Analysis Of Linear Generalized Time-delay Systems

Time-delay is widespread in all kinds of social engineering systems and actual life,and it is often influence the stability of systems.It has also aroused extensive concern by many scholars.Singular systems compared with those of standard systems can better describe systems.Therefore,the study of linear singular time-delay system is of great practical significance.In this paper,the following work is discussed for the research of linear singular systems.Stability analysis of linear systems with constant time delays is studied.Firstly,based on the Lyapunov stability theory,the Lyapunov-Krasovskii functional derivation integral item by using Park's double integral inequality and Wirtinger integral inequality method,a sufficient stability criterion is obtained.Meanwhile the conditions are in terms of linear matrix inequalities(LMIs)and a example is given for illustration.The effectiveness and superiority of the results are further illustrated.Stability analysis of the linear singular systems with time-varying delays is also investigated.Based on Lyapunov stability theory,the Lyapunov-Krasovskii functional derivation integral item by using newly proposed double integral inequality,a sufficient stability criterion is obtained.The results are shown less conservative than the existing ones.The present method is of great significance for stability analysis of time-varying delay systems.Finally,the paper summarizes the work and points out the direction of the future research.