On L2 error bounds between systems
Salinas-Varela A. A. and Papachristodoulou A. and Goncalves J. M.
17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006), July 2006Abstract
In this paper two systems described by nonlinear ordinary differential equations will be considered. They will be assumed to be operating independently and to be time-invariant, unforced, and equidimensional. Dissipativity theory is used to provide a sufficient condition for the componentwise
difference that exists between their state vectors to be a finite-energy signal. The related set of storage functions will be used to provide a bound for its L2-norm. For a special class of switched models, a heuristic methodology to construct such storage functions is presented. Special emphasis
will be placed upon piecewise linear (PWL) models.
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BibTex Entry
- @InProceedings{,
- author = {Salinas-Varela A. A. and Papachristodoulou A. and Goncalves J. M.},
- title = {On L2 error bounds between systems},
- address = {Kyoto, Japan},
- booktitle = {17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006)},
- month = {July},
- year = {2006}
- }
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