A convex approach to the absolute stability problem

1994 ◽  
Vol 39 (9) ◽  
pp. 1929-1932 ◽  
Author(s):  
P.B. Gapski ◽  
J.C. Geromel
Keyword(s):  
Stability Problem ◽  
Absolute Stability ◽  
The Absolute ◽  
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.

The Problem of Absolute Stability of a Class of Lurie Switched Time-Delay Systems

2012 ◽  
Vol 433-440 ◽  
pp. 2641-2644
Author(s):  
Bei Xing Mao ◽  
Dong Xiao Wang
Keyword(s):  
Switched Systems ◽  
Lyapunov Functions ◽  
Stability Problem ◽  
Time Delays ◽  
Absolute Stability ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Delay Systems ◽  
The Absolute ◽  
Absolute Stability Problem

The absolute stability problem of Lurie time-delays switched systems is investigated. All the subsystems are Lurie systems. Lyapunov functions is used to derive the sufficient conditions for the absolute stability of systems

Sign in / Sign up

Export Citation Format

Share Document