On the dissipativity of uncontrollable systems
Citation
CAMLIBEL, 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. https://dx.doi.org/10.1109/CDC.2003.1272848Abstract
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.