Polynomial convolutions in max-plus algebra
Sign Up to like & getrecommendations! 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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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
Observer Construction for Polynomially Ambiguous Max-Plus Automata
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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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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
Analysis and Design of Robust Max Consensus for Wireless Sensor Networks
Sign Up to like & getrecommendations! 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
Object Oriented Design of Software Tool for Finite Abstractions of Max-Plus-Linear Systems using Unified Modeling Language
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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
The Aplication of Max-Plus Algebra to Determine The Optimal Time of Ikat Kupang Woven Production
Sign Up to like & getrecommendations! 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
An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra
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DOI: 10.3390/sym11060738
Abstract: The eigenproblem for matrices in max-plus algebra describes the steady state of the system, and therefore it has been intensively studied by many authors. In this paper, we propose an algorithm to compute the eigenvalue… read more here.
Keywords: algorithm nontrivial; max plus; eigenvectors max; efficient algorithm ... See more keywords
An Efficient Algorithm for Eigenvalue Problem of Latin Squares in a Bipartite Min-Max-Plus System
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DOI: 10.3390/sym12020311
Abstract: In this paper, we consider the eigenproblems for Latin squares in a bipartite min-max-plus system. The focus is upon developing a new algorithm to compute the eigenvalue and eigenvectors (trivial and non-trivial) for Latin squares… read more here.
Keywords: min max; squares bipartite; plus system; bipartite min ... See more keywords
Trivial and Nontrivial Eigenvectors for Latin Squares in Max-Plus Algebra
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14061101
Abstract: A square array whose all rows and columns are different permutations of the same length over the same symbol set is known as a Latin square. A Latin square may or may not be symmetric.… read more here.
Keywords: latin square; latin squares; trivial nontrivial; nontrivial eigenvectors ... See more keywords