A stability criterion for switching Lur’e systems with switching-path restrictions

Automatica ◽  
2018 ◽  
Vol 96 ◽  
pp. 337-341 ◽  
Author(s):  
Johannes Nygren ◽  
Kristiaan Pelckmans
Keyword(s):  
Stability Criterion ◽  
Lur’E Systems ◽  
Switching Path

An Improved Delay-Dependent Stability Criterion for a Class of Lur’e Systems of Neutral Type

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
K. Ramakrishnan ◽  
G. Ray
Keyword(s):  
Stability Analysis ◽  
Stability Criterion ◽  
Time Derivative ◽  
Neutral Type ◽  
Linear Matrix ◽  
Lur’E Systems ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Nonlinearity ◽  
Delay Dependent Stability

In this paper, we consider the problem of delay-dependent stability of a class of Lur’e systems of neutral type with time-varying delays and sector-bounded nonlinearity using Lyapunov–Krasovskii (LK) functional approach. By using a candidate LK functional in the stability analysis, a less conservative absolute stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional, conservatism in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional without neglecting any useful terms using minimal number of slack matrix variables. The proposed analysis, subsequently, yields a stability criterion in convex LMI framework, and is solved nonconservatively at boundary conditions using standard LMI solvers. The effectiveness of the proposed criterion is demonstrated through a standard numerical example and Chua’s circuit.

scholarly journals On Lyapunov-Lur’e functional based stability criterion for discrete-time Lur’e systems

2020 ◽  
Vol 53 (2) ◽  
pp. 6364-6369
Author(s):  
Jingfan Zhang ◽  
Joaquin Carrasco ◽  
William P. Heath
Keyword(s):  
Discrete Time ◽  
Stability Criterion ◽  
Lur’E Systems
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