DocumentCode :
3169737
Title :
Characterization of strong structural controllability of uncertain linear time-varying discrete-time systems
Author :
Hartung, Christoph ; Reissig, Gunther ; Svaricek, Ferdinand
Author_Institution :
Dept. Aerosp. Eng., Univ. of the Fed. Armed Forces Munich, Neubiberg, Germany
fYear :
2012
fDate :
10-13 Dec. 2012
Firstpage :
2189
Lastpage :
2194
Abstract :
We extend earlier characterizations of strong structural controllability of linear systems depending on parameters to the time-varying case x(t+1) = At·x(t)+Bt·u(t). Our main result is that the time-varying system is strongly structurally controllable iff the corresponding time-invariant system (whose matrices have the same zero-nonzero structure) is so. We also establish that every strongly structurally controllable time-varying system is controllable on every time interval of the form {t, t + 1, ..., t + n}, where n is the dimension of the state space, a property which is not, in general, valid for linear time-varying systems that are merely controllable. Finally, we present an algorithm for verifying the property of strong structural controllability. Our results cover the single- and multi-input cases and apply without any assumptions on the systems´ structure or the time-varying entries of A and B.
Keywords :
controllability; discrete time systems; linear systems; matrix algebra; state-space methods; time-varying systems; uncertain systems; state space dimension; strong structural controllability; time-invariant system; uncertain linear time-varying discrete-time system; zero-nonzero structure matrices; Aerospace electronics; Controllability; Eigenvalues and eigenfunctions; Testing; Time varying systems; Uncertain systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
ISSN :
0743-1546
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2012.6426326
Filename :
6426326
Link To Document :
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