Liapunov functions and stability criteria for nonlinear systems with multiple critical eigenvalues

1994 ◽  
Vol 7 (3) ◽  
pp. 255-278 ◽  
Author(s):  
Jyun-Horng Fu
Keyword(s):  
Nonlinear Systems ◽  
Stability Criteria ◽  
Liapunov Functions

Stability and Relative Stability of Porous Journal Bearing System With Axes Skewed

1974 ◽  
Vol 96 (4) ◽  
pp. 621-630 ◽  
Author(s):  
D. V. Singh ◽  
R. Sinhasan
Keyword(s):  
Nonlinear Systems ◽  
Relative Stability ◽  
Journal Bearing ◽  
Stability Studies ◽  
Characteristic Equations ◽  
Liapunov Functions ◽  
Linearized System ◽  
The Stability ◽  
Bearing System

This paper presents an analysis of the stability and relative stability of porous journal bearing system with journal and bearing axes skewed. For linearized system the paper includes the stability studies by Routh’s criteria and relative stability from the characteristic equations. For nonlinear systems, Liapunov functions have been constructed.

Absolute Stability Criteria of Lurie-Type Nonlinear Systems With MIMO Bounded Time-Delays

2003 ◽  
Author(s):  
Shuli Guo ◽  
Shaoze Yan ◽  
Shizhu Wen
Keyword(s):  
Time Delay ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Time Delays ◽  
Absolute Stability ◽  
Sufficient Conditions ◽  
Stability Criteria

The time delay of Lurie nonlinear system is systems is estimated in which the origin of the nonlinear systems is absolute stability by using a Liapunov-Razumikhn function. Many sufficient conditions are obtained about absolute stability criteria of nonlinear systems. A example is presented to explain the strange time delay phenomena.

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