ISSN:
1435-568X
Keywords:
Simultaneous stabilization
;
Decidability
;
Rationally decidable question
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
,
Mathematics
,
Technology
Notes:
Abstract We show that the simultaneous stabilizability of three linear systems, that is the question of knowing whether three linear systems are simultaneously stabilizable, is rationally undecidable. By this we mean that it is not possible to find necessary and sufficient conditions for simultaneous stabilization of the three systems in terms of expressions involving the coefficients of the three systems and combinations of arithmetical operations (additions, subtractions, multiplications, and divisions), logical operations (“and” and “or”), and sign test operations (equal to, greater than, greater than or equal to,...).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01211744
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