1) Chapter three : The absolute stability of the general non-linear control system with delay.

2) We have evaluated the absolute stability criterion and have obtained, by the aid of computer, the boundary lines between the stable and unstable regions.

3) It mainly introduces the definition of absolute stability, M - matrix and Burton T. A. theorem.

4) Consequently, N(s) does not affect absolute stability or the number or nature of the transient modes.

5) The results showed that the absolute stability regions of the new methods are greater than that of EBDF.

6) They all have the characteristics of absolute stability or subabsolute stability.

7) This paper deals with the problem of robust absolute stability for uncertain nonlinear Lurie control systems with time-delay.

8) In this paper absolute stability of a class of nonlinear control system with critical case.

9) The absolute stability of a system is determined by the location of the closed loop eigenvalues.

10) Results of numerical simulation show clearly the advantages of simple computation, high precision,(http:///absolute stability.html) absolute stability and etc.

11) Via the constructive Lyapunuov function, the case independent of delay and dependent of delay is investigated respectively, and the sufficient conditions of robust absolute stability are gained.

12) We can choose parameter S to improve ab- solute stability, i. e. to extend the region of absolute stability.

13) This paper is concerned with the problem of robust absolute stability of nonlinear systems under both plant and controller perturbations.

14) The method has not only the explicit integral scheme, but also the absolute stability and high precision, which avoids the computational fatalness of stiff equation.

15) A circle-like criterion will be given)it says that some frequency-domain conditions of all vertex or edge systems guarantee the absolute stability of the whole uncertain system.

16) The conditions obtained in this paper can be used to test the absolute stability of this kind of systems directly and to estimate the corresponding delay bounds.

17) The traditional methods for anchorage control are difficult to provide absolute stability, and lack of anchorage is an important factor of restrictions in orthodontic treatment.

18) By using these conditions, one can estimate the robust absolute stability bound and the delay bound of uncertain nonlinear Lurie control systems with time-delay directly.

19) Conditions for strict passivity of feedback systems and a new criterion for absolute stability are given in this paper.

20) Based on the establishment of time delay dynamics equation to force telepresence teleoperation system, the absolute stability of system is analyzed by using the differential equation.