Feedbacks for non-autonomous regular linear systems

2003 ◽  
Author(s):  
Roland Schnaubelt
Keyword(s):  
Linear Systems ◽  
Regular Linear Systems

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 The regulator equations for regular linear systems

2014 ◽  
Vol 47 (3) ◽  
pp. 5187-5192
Author(s):  
Vivek Natarajan ◽  
David S. Gilliam ◽  
George Weiss
Keyword(s):  
Linear Systems ◽  
Regular Linear Systems
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