Linear dynamical systems with continuous weight functions
Research output: Contribution to book/Conference proceedings/Anthology/Report › Conference contribution › Contributed › peer-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 language | English |
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Title of host publication | HSCC 2024 - Proceedings of the 27th ACM International Conference on Hybrid Systems |
Publisher | Association for Computing Machinery, Inc |
Pages | 22:1-22:11 |
Number of pages | 11 |
ISBN (electronic) | 9798400705229 |
Publication status | Published - 14 May 2024 |
Peer-reviewed | Yes |
Publication series
Series | CPSWeek: Cyber-physical Systems |
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Conference
Title | 27th ACM International Conference on Hybrid Systems: Computation and Control |
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Abbreviated title | HSCC 2024 |
Conference number | 27 |
Duration | 14 - 16 May 2024 |
Website | |
Location | Hong Kong Science Park |
City | Hong Kong |
Country | China |
External IDs
ORCID | /0000-0002-5321-9343/work/160951232 |
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dblp | conf/hybrid/AghamovBKOP24 |
ORCID | /0000-0003-4829-0476/work/165453942 |
Keywords
ASJC Scopus subject areas
Keywords
- discounted reward, linear dynamical systems, mean payoff, total reward