Title :
Controllability of delay-differential systems in the behavioral approach
Author :
Vettori, Paolo ; Zampieri, Sandro
Author_Institution :
Dipartimento di Elettronica e Inf., Padova Univ., Italy
fDate :
6/21/1905 12:00:00 AM
Abstract :
Linear time-invariant systems described by distributed delay-differential equations are studied from the behavioral point of view. This framework permits a clear comparison of different algebraic and analytical controllability notions, which are equivalent for systems with commensurate delays. An example is given showing that this result is false as soon as there are two noncommensurate delays. A characterization of spectral controllability for a system whose trajectories satisfy a homogeneous system of independent equations is presented, thus extends an analogous result which was known to hold for linear differential systems
Keywords :
controllability; delay-differential systems; linear systems; analytical controllability; behavioral approach; commensurate delays; delay-differential systems; distributed delay-differential equations; homogeneous system; independent equations; linear differential systems; linear time-invariant systems; noncommensurate delays; spectral controllability; Continuous time systems; Control system analysis; Control systems; Controllability; Delay systems; Differential algebraic equations; Image representation; Linear systems; Polynomials; State-space methods;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832781