Articles with "max plus" as a keyword



Polynomial convolutions in max-plus algebra

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Published in 2019 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2019.05.020

Abstract: Abstract Recently, in a work that grew out of their exploration of interlacing polynomials, Marcus, Spielman and Srivastava [21] and Marcus [20] studied certain combinatorial polynomial convolutions. These convolutions preserve real-rootedness and capture expectations of… read more here.

Keywords: convolutions max; plus algebra; polynomial convolutions; max plus ... See more keywords

Interval max-plus fault-tolerant control under resource conflicts and redundancies: application to the seat assembly

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Published in 2020 at "International Journal of Control"

DOI: 10.1080/00207179.2019.1630749

Abstract: This paper reports the development and application of an interval max-plus fault-tolerant control to a seat assembly system. Such systems will undergo a profound change because novel seats for autonomous driving contain expanded safety systems… read more here.

Keywords: interval max; fault tolerant; plus fault; control ... See more keywords

On the Existence of Simulations for Max-Plus Automata

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Published in 2024 at "IEEE Control Systems Letters"

DOI: 10.1109/lcsys.2024.3401415

Abstract: The concept of weighted simulation has recently been defined for max-plus automata. This paper contributes to identifying the structural conditions for which a weighted simulation might exist. In particular, it provides verifiable sufficient conditions for… read more here.

Keywords: max plus; existence simulations; weighted simulation; simulations max ... See more keywords

Feedback Regulation for Irreducible Max-Plus Linear Systems

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Published in 2024 at "IEEE Control Systems Letters"

DOI: 10.1109/lcsys.2025.3540947

Abstract: This letter proposes the feedback regulation of max-plus linear systems, and designs the regulator for irreducible systems that ensures the system can directly enter a uniform periodic steady state, regardless of the initial input. The… read more here.

Keywords: max plus; linear systems; plus linear; regulation ... See more keywords

Observer Construction for Polynomially Ambiguous Max-Plus Automata

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Published in 2022 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2021.3069899

Abstract: In this article, we deal with state estimation of timed discrete event systems that are modeled by max-plus automata (MPAs), where only some events are observable. For a given MPA, a formal procedure is first… read more here.

Keywords: observer construction; plus automata; construction polynomially; states set ... See more keywords

Stochastic Filtering Scheme of Implicit Forms of Uncertain Max-Plus Linear Systems

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Published in 2022 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2022.3176841

Abstract: This article aims to improve the stochastic filtering algorithm with bounded disturbances, proposed in 1. This filter is efficient for max-plus linear systems in explicit form, i.e., the timed event graph (TEG) described by this… read more here.

Keywords: max plus; scheme implicit; filtering scheme; stochastic filtering ... See more keywords

The Model Matching Problem for Max-Plus Linear Systems: A Geometric Approach

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Published in 2023 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2022.3191362

Abstract: Linear systems over the max-plus algebra provide a suitable formalism to model discrete-event systems where synchronization, without competition, is involved. In this article, we consider a formulation of the model matching problem for systems of… read more here.

Keywords: model; model matching; linear systems; max plus ... See more keywords

Switching Model Predictive Control for Perturbed Max-Plus Linear Systems via Minimum Dwell-Time

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Published in 2025 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2024.3503474

Abstract: In this article, switching model predictive control (MPC) is proposed for a perturbed max-plus linear system with a reference signal. The lack of stability guarantee for MPC brings difficulties in reducing tracking errors caused by… read more here.

Keywords: max plus; linear system; perturbed max; control ... See more keywords

Analysis and Design of Robust Max Consensus for Wireless Sensor Networks

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Published in 2019 at "IEEE Transactions on Signal and Information Processing over Networks"

DOI: 10.1109/tsipn.2019.2945639

Abstract: A novel distributed algorithm for estimating the maximum of the node initial state values in a network, in the presence of additive communication noise is proposed. Conventionally, the maximum is estimated locally at each node… read more here.

Keywords: max plus; networks analysis; max; state values ... See more keywords
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Object Oriented Design of Software Tool for Finite Abstractions of Max-Plus-Linear Systems using Unified Modeling Language

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Published in 2017 at "International Journal of Computing"

DOI: 10.12962/j24775401.v3i1.2119

Abstract: Max-Plus-Linear (MPL) systems are a class of discrete-event systems with a continuous state space characterizing the timing of the underlying sequential discrete events. There is a formal approach to analyze these systems based on finite… read more here.

Keywords: plus linear; finite abstractions; object oriented; oriented design ... See more keywords
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The Aplication of Max-Plus Algebra to Determine The Optimal Time of Ikat Kupang Woven Production

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Published in 2017 at "International Journal of Computing"

DOI: 10.12962/j24775401.v3i2.2317

Abstract: The problem of scheduling is a problem that becomes part of project management that aims to plan the implementation of activities in a project in a structured manner with a clear time limit. Kupang ikat… read more here.

Keywords: kupang ikat; time; optimal time; plus algebra ... See more keywords