Berger, GO and Forni, F and Jungers, RM *Path-complete $p$-dominant switching linear systems.* In: IEEE Conference on Decision and Control, 2018-12-16 to --. (Unpublished)

## Abstract

The notion of path-complete $p$-dominance for switching linear systems (in short, path-dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI systems. Path-dominance is characterized by the contraction property of a set of quadratic cones in the state space. We show that path-dominant systems have a low-dimensional dominant behavior, and hence allow for a simplified analysis of their dynamics. An algorithm for deciding the path-dominance of a given system is presented.

Item Type: | Conference or Workshop Item (UNSPECIFIED) |
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Uncontrolled Keywords: | math.OC math.OC 93C30, 93C05, 93C83 |

Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 12 Sep 2018 20:18 |

Last Modified: | 12 Nov 2019 04:00 |

DOI: |