Equivalent conditions for exponential stability for a special class of conservative linear systems

2003 ◽  
Author(s):  
G. Weiss ◽  
M. Tucsnak
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Special Class ◽  
Equivalent Conditions

Positivity of descriptor linear systems with regular pencils

2012 ◽  
Vol 61 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Positive Systems ◽  
Electrical Circuits ◽  
Numerical Examples ◽  
Standard Linear ◽  
Descriptor Linear Systems ◽  
The Relationship ◽  
Equivalent Conditions ◽  
Time Linear

Positivity of descriptor linear systems with regular pencilsThe positivity of descriptor continuous-time and discrete-time linear systems with regular pencils are addressed. Such systems can be reduced to standard linear systems and can be decomposed into dynamical and static parts. Two definitions of the positive systems are proposed. It is shown that the definitions are not equivalent. Conditions for the positivity of the systems and the relationship between two classes of positive systems are established. The considerations are illustrated by examples of electrical circuits and numerical examples.

scholarly journals Exponential Stability of Linear Systems with Multiple Time Delays

2016 ◽  
Vol 2 (1) ◽  
pp. 69-78
Author(s):  
Y Ordokhani ◽  
E Taghizadeh ◽  
D Behmardi ◽  
M Matin Far ◽  
◽  
...  
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Time Delays ◽  
Multiple Time ◽  
Multiple Time Delays
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