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Every storage function is a state function |
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| Authors: | H.L. Trentelman J.C. Willems |
| Affiliation: | Institute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700 AV, Groningen, Netherlands |
| Abstract: | It is shown that for linear dynamical systems with quadratic supply rates, a storage function can always be written as a quadratic function of the state of an associated linear dynamical system. This dynamical system is obtained by combining the dynamics of the original system with the dynamics of the supply rate. |
| Keywords: | Dissipative dynamical systems State Storage function Quadratic differential forms Two-variable polynomial matrices |
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