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The Algebra of Open and Interconnected Systems
[article]
2016
arXiv
pre-print
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To illustrate these principles, the second part of this thesis details applications to linear time-invariant dynamical systems and passive linear networks. ...
The first part of this thesis develops the theory of hypergraph categories. In particular, we introduce the tools of decorated cospans and corelations. ...
In this thesis, we study an algebraic structure called a hypergraph category, and argue that this is the relevant algebraic structure for modelling interconnection of open systems. ...
arXiv:1609.05382v1
fatcat:rxuhgb2ub5c67otn5ij2y7g6iq
Constrained probability
2012
2012 IEEE International Symposium on Information Theory Proceedings
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A stochastic system is defined as a probability triple. Models often require a coarse event sigma-algebra. ...
The SCD-SISTA research of the KU Leuven is supported by the projects. ...
INTRODUCTION By an 'open' system we mean a model that explicitly incorporates the influence of the environment, but as an unmodeled feature. Open systems can be interconnected with other systems. ...
doi:10.1109/isit.2012.6283011
dblp:conf/isit/Willems12
fatcat:pubmu4dea5ftzeshhtgcgsqx3m
LTI Stochastic Processes: a Behavioral Perspective
[article]
2017
arXiv
pre-print
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This paper revisits the definition of linear time-invariant (LTI) stochastic process within a behavioral systems framework. ...
Building on [Willems, 2013], we derive a canonical representation of an LTI stochastic process and a physically grounded notion of interconnection between independent stochastic processes. ...
In this setting, a theory of open systems is de facto a theory of interconnected systems. ...
arXiv:1704.02154v1
fatcat:rqza7p4qqffjfiuoylrqnjljdq
Quantum behaviors and networks
2008
2008 47th IEEE Conference on Decision and Control
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A simple framework for modeling open quantum systems and networks of such systems is described; this framework provides tools for determining quantum behaviors. ...
This evolution is determined by parameters that specify the internal energy of the system, and any interfaces to other systems or fields. ...
The authors wish to thank Ian Petersen and Jochen Trumpf for helpful discussions. ...
doi:10.1109/cdc.2008.4738928
dblp:conf/cdc/JamesG08
fatcat:ojk56pgz6zcalhqhga4apnpgum
Camouflaging electrical $1$-networks as graphs
1962
Quarterly of Applied Mathematics
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The latter also were endowed with variable connectedness ("tearing and interconnecting"), in order to allow all possible types of network manipulations and operations. ...
This paper points out that the proper stage of an electrically excited e, i, z system is not a graph, nor a planar polyhedron, but a 1-network,-a configuration that contains branches only and no nodes, ...
algebraic peculiarities of the superimposed electrical e, i, z system. ...
doi:10.1090/qam/148347
fatcat:xcteywu52vbhdnok5kfhe3kbgm
Open Stochastic Systems
2013
IEEE Transactions on Automatic Control
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laws of a system from the laws of the environment? ...
B is called the behavior of the deterministic system. ...
Assume that the interconnection Σ 1 ∧ Σ 2 is a classical random vector. Sampling ; the mean and covariance of Σ 1 ∧ Σ 2 . Assume that the covariance is nonsingular. ...
doi:10.1109/tac.2012.2210836
fatcat:cnq5ee2ikffozpxtlyjspsykay
Open stochastic systems
2011
IEEE Conference on Decision and Control and European Control Conference
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laws of a system from the laws of the environment? ...
B is called the behavior of the deterministic system. ...
Assume that the interconnection Σ 1 ∧ Σ 2 is a classical random vector. Sampling ; the mean and covariance of Σ 1 ∧ Σ 2 . Assume that the covariance is nonsingular. ...
doi:10.1109/cdc.2011.6160329
dblp:conf/cdc/Willems11
fatcat:knh6rv4garfcnl2gluyagqhspi
Specification architecture
1997
Computer networks and ISDN systems
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The editors also extend their thanks to the reviewers for their careful reading of the papers. The advice and involvement of H. Rudin, a senior editor of the journal, was much appreciated. ...
Acknowledgements The guest editors are grateful to the contributors for their enthusiasm in elaborating the topic of this special issue. ...
The papers deal with mes-
sage switching, ODP (Open Distributed Processing
[6]), OS1 (Open Systems Interconnection [3]), multi-
media communication and telephony. ...
doi:10.1016/s0169-7552(96)00124-9
fatcat:3nu2a45g3ncl3pkarlrg2oqmty
Obvious and Hidden Symmetries of Mathematical Objects
2018
Proceedings (MDPI)
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One of the core concepts essential to understanding natural phenomena and the dynamics of social systems is the concept of "relation". ...
Social and interconnection networks, traffic systems, chemical structures, etc. can be expressed as relational structures. ...
Abstract: One of the core concepts essential to understanding natural phenomena and the dynamics of social systems is the concept of "relation". ...
doi:10.3390/proceedings2010084
fatcat:4axfck7765es7c2zwgqmurmtt4
Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams
[article]
2015
arXiv
pre-print
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In this paper, we use the language of operads to study open dynamical systems. ...
As an example, we use these algebras to formalize the classical problem of systems of tanks interconnected by pipes, and hence make explicit the algebraic relationships among systems at different levels ...
The algebra we present here, that of open systems, is distinct from the algebras of relations and of propagators studied in earlier works. ...
arXiv:1408.1598v2
fatcat:nkghr5xf3vejfgud6yvhavdm5q
Physiological Model Creation and Sharing
2011
European Journal for Biomedical Informatics
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Jan Šilar Conclusions: New tools will simplify model creation and interconnection. They will also improve collaboration of model developers. ...
The editor for models written in Modelica is being developed. It will run in browser and will be interconnected with web based model repository. ...
Acknowledgments The paper was supported by the project SVV-2011-262514 of Charles University in Prague. ...
doi:10.24105/ejbi.2011.07.1.10
fatcat:pluc7rrlazhrrmjeujw5sopg34
Simple Robust Controllers for Delayed Systems
2010
IFAC Proceedings Volumes
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A simple controller is derived via algebraic theory and the structured singular value, which treats uncertain time delay in both the numerator and denominator of an anisochronic system. ...
A way for treating general delayed systems with uncertain delays in both the numerator and denominator is shown. The proposed procedure is demonstrated by an example. ...
It is apparent that the D-K iteration has a non-zero steady state error for both 1DOF and 2DOF interconnection, which is not the case of the algebraic approach. ...
doi:10.3182/20100607-3-cz-4010.00067
fatcat:ny6si5lrn5dejkuyauyb7tewwm
Engineering distributed software
2005
Proceedings of the 10th European software engineering conference held jointly with 13th ACM SIGSOFT international symposium on Foundations of software engineering - ESEC/FSE-13
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The role of structure in specifying, designing, analysing, constructing and evolving software has been the central theme of our research in Distributed Software Engineering. ...
This structural discipline dictates formalisms and techniques that are compositional, components that are context independent and systems that can be constructed and evolved incrementally. ...
Much of the research has been supported by the Engineering and Physical Sciences Research Council and is currently partly supported by EPSRC grant READS GR/S03270/01. ...
doi:10.1145/1081706.1081709
dblp:conf/sigsoft/KramerM05
fatcat:zphixjuienfsvgedtahlyx3sne
Engineering distributed software
2005
Software engineering notes
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The role of structure in specifying, designing, analysing, constructing and evolving software has been the central theme of our research in Distributed Software Engineering. ...
This structural discipline dictates formalisms and techniques that are compositional, components that are context independent and systems that can be constructed and evolved incrementally. ...
Much of the research has been supported by the Engineering and Physical Sciences Research Council and is currently partly supported by EPSRC grant READS GR/S03270/01. ...
doi:10.1145/1095430.1081709
fatcat:qerjq63yqbbaliopvnvfwkrwla
SimuPy: A Python framework for modeling and simulating dynamical systems
2017
Journal of Open Source Software
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SimuPy is a framework for simulating interconnected dynamical system models and provides an open source, python-based tool that can be used in model-and system-based design and simulation workflows. ...
The examples and tests show that the block diagram algebra and timing formulations agree with the mathematical definitions. ...
doi:10.21105/joss.00396
fatcat:wdmj3l3ssrfpdcbozfxwxnw7zi
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