q-Difference linear control systems

We propose q-difference versions of some basic results of complete controllability and observability of linear systems such as criterions of controllability and observability, controllability and observability canonical forms, the q-duality theorem, the interconnection between these concepts and tha...

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Bibliographic Details
Published in:Journal of difference equations and applications 2011-09, Vol.17 (9), p.1229-1249
Main Author: Bangerezako, Gaspard
Format: Article
Language:English
Subjects:
39A 18
Computation
Control systems
Controllability
Criteria
Difference equations
Differential equations
Interconnection
Linear control
Linear systems
Polynomials
q-controllability
q-difference calculus
q-observability
Time constant
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Summary:We propose q-difference versions of some basic results of complete controllability and observability of linear systems such as criterions of controllability and observability, controllability and observability canonical forms, the q-duality theorem, the interconnection between these concepts and that of polynomials without common zeros. As an appendix, is given a simple but computationally meaningful Maple Procedure for the controllability criterion for time constant systems.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190902899115