In this paper, we investigate the absolute stability of the general Lurie control systems. The necessary and sufficient conditions for absolute stability are obtained. These conditions can be readily checked and are c...In this paper, we investigate the absolute stability of the general Lurie control systems. The necessary and sufficient conditions for absolute stability are obtained. These conditions can be readily checked and are convenient in application.展开更多
The robust absolute stability of general Lurie interval direct control system with multiple nonlinearities, with respect to model variations, is considered. Some sufficient conditions of absolute stability for the sys...The robust absolute stability of general Lurie interval direct control system with multiple nonlinearities, with respect to model variations, is considered. Some sufficient conditions of absolute stability for the system are obtained, which generalize and improve the previous results.展开更多
In this paper, the problenl of absohlte stability for general Lurie control systems with multi- nonlinear feedback terms is investigated. From the Lyapunov function approach. new necessary and sufficient conditious an...In this paper, the problenl of absohlte stability for general Lurie control systems with multi- nonlinear feedback terms is investigated. From the Lyapunov function approach. new necessary and sufficient conditious and some practical sufficient conditions of absolute stability are derived. which improve the absolute stability for the set. A numerical examplc illustrates the effectiveness of the proposed results.展开更多
In this paper, the absolute stability of general Lurie type robust control system has been discussed by using the method of Lyapunov function. Some more practical sufficient conditions of absolute stability for the a...In this paper, the absolute stability of general Lurie type robust control system has been discussed by using the method of Lyapunov function. Some more practical sufficient conditions of absolute stability for the above system are obtained by adjusting the coefficients of Lyapunov functions and parameters of S-procedure. Examples are given to illustrate the method of this paper and the application of new algebraic criteria for absolute stability.展开更多
In this paper, by introducing a new concept of absolute stability for a certain argument, necessary and sufficient conditions for absolute stability of general Lurie indirect control systems are obtained, and some pra...In this paper, by introducing a new concept of absolute stability for a certain argument, necessary and sufficient conditions for absolute stability of general Lurie indirect control systems are obtained, and some practical sufficient conditions are also given.展开更多
In this paper, by using the method of Lyapunov function we generalize the theorem of La Salle from Lurie control system to general Lurie control system. Our result is concise and is easy to be tested. Hence, we improv...In this paper, by using the method of Lyapunov function we generalize the theorem of La Salle from Lurie control system to general Lurie control system. Our result is concise and is easy to be tested. Hence, we improve the proof and extend the applied range of La Salle's Theorem.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘In this paper, we investigate the absolute stability of the general Lurie control systems. The necessary and sufficient conditions for absolute stability are obtained. These conditions can be readily checked and are convenient in application.
文摘The robust absolute stability of general Lurie interval direct control system with multiple nonlinearities, with respect to model variations, is considered. Some sufficient conditions of absolute stability for the system are obtained, which generalize and improve the previous results.
基金The project is supported by the National Natural Science Foundation of China (No. 19871005)the Foundation of Doctoral Programme of the Educational Ministry of China (No. 1999000722)
文摘In this paper, the problenl of absohlte stability for general Lurie control systems with multi- nonlinear feedback terms is investigated. From the Lyapunov function approach. new necessary and sufficient conditious and some practical sufficient conditions of absolute stability are derived. which improve the absolute stability for the set. A numerical examplc illustrates the effectiveness of the proposed results.
基金The Project is supported by National Natural Science Foundation of China(No.19871005)
文摘In this paper, the absolute stability of general Lurie type robust control system has been discussed by using the method of Lyapunov function. Some more practical sufficient conditions of absolute stability for the above system are obtained by adjusting the coefficients of Lyapunov functions and parameters of S-procedure. Examples are given to illustrate the method of this paper and the application of new algebraic criteria for absolute stability.
基金This project is supported by the National Natural Science Foundation of China (No. 19871005).
文摘In this paper, by introducing a new concept of absolute stability for a certain argument, necessary and sufficient conditions for absolute stability of general Lurie indirect control systems are obtained, and some practical sufficient conditions are also given.
基金Natural Science Foundation of China (No.19871005).
文摘In this paper, by using the method of Lyapunov function we generalize the theorem of La Salle from Lurie control system to general Lurie control system. Our result is concise and is easy to be tested. Hence, we improve the proof and extend the applied range of La Salle's Theorem.
