On the quadratic stability of switched linear systems associated with symmetric transfer function matrices

Automatica ◽  
2014 ◽  
Vol 50 (11) ◽  
pp. 2872-2879 ◽  
Author(s):  
Yashar Kouhi ◽  
Naim Bajcinca ◽  
Jörg Raisch ◽  
Robert Shorten
Keyword(s):  
Transfer Function ◽  
Linear Systems ◽  
Switched Linear Systems ◽  
Quadratic Stability

SPR based design conditions for quadratic stability of multi-mode switched linear systems

Automatica ◽  
2020 ◽  
Vol 122 ◽  
pp. 109254
Author(s):  
Yashar Kouhi ◽  
Christopher King ◽  
Robert Shorten
Keyword(s):  
Linear Systems ◽  
Switched Linear Systems ◽  
Quadratic Stability ◽  
Multi Mode

Continuous-time Identification for a class of Switched Linear Systems

2020 ◽  
Author(s):  
Abdelhak Goudjil ◽  
Mathieu Pouliquen ◽  
Eric Pigeon ◽  
Olivier Gehan ◽  
Tristan Bonargent
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Switched Linear Systems

scholarly journals Determination of positive realizations with reduced numbers of delays or without delays for discrete-time linear systems

2012 ◽  
Vol 22 (4) ◽  
pp. 451-465 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Transfer Function ◽  
Linear Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Diagram Method ◽  
State Variable ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

A new modified state variable diagram method is proposed for determination of positive realizations with reduced numbers of delays and without delays of linear discrete-time systems for a given transfer function. Sufficient conditions for the existence of the positive realizations of given proper transfer function are established. It is shown that there exists a positive realization with reduced numbers of delays if there exists a positive realization without delays but with greater dimension. The proposed methods are demonstrated on a numerical example.

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