On the dissipativity of uncontrollable systems
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KünyeCAMLIBEL, M.K., WILLEMS, J.C., BELUR, M.N. (2003). On the dissipativity of uncontrollable systems. 42nd IEEE Conference on Decision and Control, 2003: Proceedings., Volume 2, pp.1645-1650. http://dx.doi.org/10.1109/CDC.2003.1272848
This paper deals with dissipativity of uncontrollable linear time-invariant systems with quadratic supply rates and storage functions. A definition of dissipativity appropriate for this class of systems is given. We present a necessary and sufficient condition for dissipativeness in the single input/single output case.