Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays

Automatica ◽  
2017 ◽  
Vol 80 ◽  
pp. 218-224 ◽  
Author(s):  
Alexey V. Egorov ◽  
Carlos Cuvas ◽  
Sabine Mondié
Keyword(s):  
Linear Systems ◽  
Distributed Delays ◽  
Stability Conditions ◽  
Sufficient Stability ◽  
Necessary And Sufficient ◽  
Sufficient Stability Conditions

scholarly journals State Estimators for Uncertain Linear Systems with Different Disturbance/Noise Using Quadratic Boundedness

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Longge Zhang ◽  
Xiangjie Liu ◽  
Xiaobing Kong
Keyword(s):  
Linear Systems ◽  
Estimation Error ◽  
Measurement Noise ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
State Estimators ◽  
Sufficient Stability ◽  
Necessary And Sufficient ◽  
Uncertain Linear Systems ◽  
Sufficient Stability Conditions

This paper designs state estimators for uncertain linear systems with polytopic description, different state disturbance, and measurement noise. Necessary and sufficient stability conditions are derived followed with the upper bounding sequences on the estimation error. All the conditions can be expressed in the form of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the approach.

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