Linear dynamical systems with continuous weight functions

Research output: Contribution to book/conference proceedings/anthology/reportConference contributionContributedpeer-review

Contributors

Abstract

In discrete-time linear dynamical systems (LDSs), a linear map is repeatedly applied to an initial vector yielding a sequence of vectors called the orbit of the system. A weight function assigning weights to the points in the orbit can be used to model quantitative aspects, such as resource consumption, of a system modelled by an LDS. This paper addresses the problems to compute the mean payoff, the total accumulated weight, and the discounted accumulated weight of the orbit under continuous weight functions and polynomial weight functions as a special case. Besides general LDSs, the special cases of stochastic LDSs and of LDSs with bounded orbits are considered. Furthermore, the problem of deciding whether an energy constraint is satisfied by the weighted orbit, i.e., whether the accumulated weight never drops below a given bound, is analysed.

Details

Original languageEnglish
Title of host publicationHSCC 2024 - Proceedings of the 27th ACM International Conference on Hybrid Systems
PublisherAssociation for Computing Machinery, Inc
Pages22:1-22:11
Number of pages11
ISBN (electronic)9798400705229
Publication statusPublished - 14 May 2024
Peer-reviewedYes

Publication series

SeriesHSCC 2024 - Proceedings of the 27th ACM International Conference on Hybrid Systems: Computation and Control, HSCC 2024, part of CPS-IoT Week

Conference

Title27th ACM International Conference on Hybrid Systems: Computation and Control
Abbreviated titleHSCC 2024
Conference number27
Duration14 - 16 May 2024
Website
LocationHong Kong Science Park
CityHong Kong
CountryChina

External IDs

ORCID /0000-0002-5321-9343/work/160951232
dblp conf/hybrid/AghamovBKOP24

Keywords

Keywords

  • discounted reward, linear dynamical systems, mean payoff, total reward