scholarly journals Strongly Absolute Stability Problem of Descriptor Systems

Informatica ◽  
2007 ◽  
Vol 18 (2) ◽  
pp. 305-320 ◽  
Author(s):  
Chunyu Yang ◽  
Qingling Zhang ◽  
Linna Zhou
Keyword(s):  
Stability Problem ◽  
Absolute Stability ◽  
Descriptor Systems ◽  
Absolute Stability Problem

Regions of exponential stability for the problem of Lur’e / Bereiche der exponentiellen Stabilität beim Problem von Lurje

1969 ◽  
Vol 17 (1) ◽  
Author(s):  
D. Siljak ◽  
S. Weissenberger
Keyword(s):  
Differential Equations ◽  
Exponential Stability ◽  
Stability Problem ◽  
Absolute Stability ◽  
Nonlinear Characteristics ◽  
Forcing Function ◽  
Nonautonomous Differential Equations ◽  
The Absolute ◽  
Absolute Stability Problem

This paper proposes a method for computing finite regions of exponential stability from solutions of the absolute stability problem. A best quadratic estimate of the regions is found for a class of nonlinear characteristics which belong to a modified Lur’e sector. For a class of nonautonomous differential equations, a bound on the forcing function is found which guarantees that all the corresponding solutions remain inside the computed region.

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