Polarity of stability and robust positive invariance

Automatica ◽  
2020 ◽  
Vol 118 ◽  
pp. 109010 ◽  
Author(s):  
Saša V. Raković
Keyword(s):  
Positive Invariance

scholarly journals Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems

2003 ◽  
Vol 14 (4) ◽  
pp. 339-347 ◽  
Author(s):  
Eugênio B. Castelan ◽  
Sophie Tarbouriech
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Initial Conditions ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Convex Polyhedra ◽  
Equivalent System ◽  
Positive Invariance ◽  
Regular Linear Systems ◽  
Necessary And Sufficient

In this paper, necessary and sufficient conditions for the positive invariance of convex polyhedra with respect to linear discrete-time singular systems subject to bounded additive disturbances are established. New notions of delta-invariance under different assumptions on the initial conditions are defined. Specifically, the notions of simple and weak delta-invariance are considered. They can be seen as extensions of the delta-positive invariance concept used for the regular linear systems with additive disturbances. The results are presented by considering classical equivalent system representations for linear singular systems.

scholarly journals Practical Robust Positive Invariance for Large–Scale Discrete Time Systems

2011 ◽  
Vol 44 (1) ◽  
pp. 6425-6430 ◽  
Author(s):  
Saša V. Raković ◽  
Benjamin Kern ◽  
Rolf Findeisen
Keyword(s):  
Discrete Time ◽  
Large Scale ◽  
Positive Invariance ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Distributed bounded-error state estimation based on practical robust positive invariance

2015 ◽  
Vol 88 (11) ◽  
pp. 2277-2290 ◽  
Author(s):  
Stefano Riverso ◽  
Daria Rubini ◽  
Giancarlo Ferrari-Trecate
Keyword(s):  
State Estimation ◽  
Positive Invariance ◽  
Bounded Error ◽  
Error State
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