Forni, F and Sepulchre, R (2018) *A dissipativity theorem for p-dominant systems.* In: 56th IEEE Conference on Decision and Control, 2017-12-12 to -- pp. 3467-3472..

## Abstract

© 2017 IEEE. We revisit the classical dissipativity theorem of linear-quadratic theory in a generalized framework where the quadratic storage is negative definite in a p-dimensional subspace and positive definite in a complementary subspace. The classical theory assumes p = 0 and provides an interconnection theory for stability analysis, i.e. convergence to a zero dimensional attractor. The generalized theory is shown to provide an interconnection theory for p-dominance analysis, i.e. convergence to a p-dimensional dominant subspace. In turn, this property is the differential characterization of a generalized contraction property for nonlinear systems. The proposed generalization opens a novel avenue for the analysis of interconnected systems with low-dimensional attractors.

Item Type: | Conference or Workshop Item (UNSPECIFIED) |
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Uncontrolled Keywords: | cs.SY cs.SY math.DS math.OC |

Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 15 Sep 2017 20:09 |

Last Modified: | 12 Nov 2019 03:57 |

DOI: | 10.1109/CDC.2017.8264167 |