Extended Small Gain Theorem with application to time-delay switched linear systems

2012 ◽  
Author(s):  
Grace S. Deaecto ◽  
Jose C. Geromel ◽  
Luca Galbusera ◽  
Paolo Bolzern
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Switched Linear Systems ◽  
Small Gain Theorem ◽  
Small Gain

The Stabilization of Switched Time-Delay Linear Systems with Input Saturation

2014 ◽  
Vol 602-605 ◽  
pp. 2582-2585
Author(s):  
Li Jing ◽  
Li Liu
Keyword(s):  
Time Delay ◽  
Lyapunov Function ◽  
Linear Systems ◽  
Input Saturation ◽  
Switched System ◽  
New Method ◽  
System Stability ◽  
Sufficient Condition ◽  
Switched Linear Systems ◽  
System Controller

We focused on the stabilization of switched linear systems with time-delay and input saturation. First, the saturation part of each subsystem was dealt with by a new method and the system was transformed into a general switched system. Secondly, we proposed a sufficient condition for system stability based on Multi - Lyapunov Function. The sufficient condition is expressed into LMI and can be solved with MatLab. Further, we designed the system controller.

Stability of Time-Delay Feedback Switched Linear Systems

2010 ◽  
Vol 55 (10) ◽  
pp. 2385-2390 ◽  
Author(s):  
Linh Vu ◽  
Kristi A. Morgansen
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Switched Linear Systems
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