scholarly journals Probabilistic Message Passing for Decentralized Control of Stochastic Complex Systems

2020 ◽  
Author(s):  
Randa Herzallah
Keyword(s):  
Complex System ◽  
Dynamical Systems ◽  
Complex Systems ◽  
Decentralized Control ◽  
Message Passing ◽  
Density Functions ◽  
Additional Contribution ◽  
Probabilistic Framework ◽  
Marginal Density ◽  
Theoretical Developments

<pre>This paper proposes a novel probabilistic framework for the design of probabilistic message passing mechanism for complex and large dynamical systems that are operating and governing under a decentralized way. The proposed framework considers the evaluation of probabilistic messages that can be passed between mutually interacting quasi-independent subsystems that will not be restricted by the assumption of homogeneity or conformability of the subsystems components. The proposed message passing scheme is based on the evaluation of the marginal density functions of the states that need to be passed from one subsystem to another. An additional contribution is the development of stochastic controllability analysis of the controlled subsystems that constitute a complex system. To facilitate the understanding and the analytical analysis of the proposed message passing mechanism and the controllability analysis, theoretical developments are demonstrated on linear stochastic Gaussian systems. </pre>

scholarly journals Probabilistic Message Passing for Decentralized Control of Stochastic Complex Systems

2020 ◽  
Author(s):  
Randa Herzallah
Keyword(s):  
Complex System ◽  
Dynamical Systems ◽  
Complex Systems ◽  
Decentralized Control ◽  
Message Passing ◽  
Density Functions ◽  
Additional Contribution ◽  
Probabilistic Framework ◽  
Marginal Density ◽  
Theoretical Developments

<pre>This paper proposes a novel probabilistic framework for the design of probabilistic message passing mechanism for complex and large dynamical systems that are operating and governing under a decentralized way. The proposed framework considers the evaluation of probabilistic messages that can be passed between mutually interacting quasi-independent subsystems that will not be restricted by the assumption of homogeneity or conformability of the subsystems components. The proposed message passing scheme is based on the evaluation of the marginal density functions of the states that need to be passed from one subsystem to another. An additional contribution is the development of stochastic controllability analysis of the controlled subsystems that constitute a complex system. To facilitate the understanding and the analytical analysis of the proposed message passing mechanism and the controllability analysis, theoretical developments are demonstrated on linear stochastic Gaussian systems. </pre>

Scaling

2018 ◽  
Author(s):  
Stefan Thurner ◽  
Rudolf Hanel ◽  
Peter Klimekl
Keyword(s):  
Distribution Function ◽  
Dynamical Systems ◽  
Complex Systems ◽  
Power Law ◽  
Scaling Laws ◽  
Power Laws ◽  
Distribution Functions ◽  
Temporal Process ◽  
Approximate Power

Scaling appears practically everywhere in science; it basically quantifies how the properties or shapes of an object change with the scale of the object. Scaling laws are always associated with power laws. The scaling object can be a function, a structure, a physical law, or a distribution function that describes the statistics of a system or a temporal process. We focus on scaling laws that appear in the statistical description of stochastic complex systems, where scaling appears in the distribution functions of observable quantities of dynamical systems or processes. The distribution functions exhibit power laws, approximate power laws, or fat-tailed distributions. Understanding their origin and how power law exponents can be related to the particular nature of a system, is one of the aims of the book.We comment on fitting power laws.

In-Between and Through: Architecture and Complexity

2005 ◽  
Vol 3 (3) ◽  
pp. 335-354 ◽  
Author(s):  
Clarissa Ribeiro Pereira de Almeida ◽  
Anja Pratschke ◽  
Renata La Rocca
Keyword(s):  
Complex System ◽  
Software Engineering ◽  
Complex Systems ◽  
Design Process ◽  
Three Dimensional ◽  
Self Organization ◽  
Three Dimensional Modeling ◽  
Dimensional Modeling ◽  
Complex Thought ◽  
Basic Characteristics

This paper draws on current research on complexity and design process in architecture and offers a proposal for how architects might bring complex thought to bear on the understanding of design process as a complex system, to understand architecture as a way of organizing events, and of organizing interaction. Our intention is to explore the hypothesis that the basic characteristics of complex systems – emergence, nonlinearity, self-organization, hologramaticity, and so forth – can function as effective tools for conceptualization that can usefully extend the understanding of the way architects think and act throughout the design process. To illustrate the discussions, we show how architects might bring complex thought inside a transdisciplinary design process by using models such as software engineering diagrams, and three-dimensional modeling network environments such as media to integrate, connect and ‘trans–act’.

scholarly journals Toward Reverse Engineering to Economic Analysis: An Overview of Tools and Methodology

2021 ◽  
Author(s):  
Marisa Faggini ◽  
Bruna Bruno ◽  
Anna Parziale
Keyword(s):  
Complex System ◽  
Nonlinear Dynamics ◽  
Economic Analysis ◽  
Complex Systems ◽  
Reverse Engineering ◽  
Underlying Mechanism ◽  
Economic Data ◽  
Agent Based ◽  
Economic Agents ◽  
Advantages And Disadvantages

AbstractFollowing the reverse engineering (RE) approach to analyse an economic complex system is to infer how its underlying mechanism works. The main factors that condition the difficulty of RE are the number of variable components in the system and, most importantly, the interdependence of components on one another and nonlinear dynamics. All those aspects characterize the economic complex systems within which economic agents make their choices. Economic complex systems are adopted in RE science, and they could be used to understand, predict and model the dynamics of the complex systems that enable to define and to control the economic environment. With the RE approach, economic data could be used to peek into the internal workings of the economic complex system, providing information about its underling nonlinear dynamics. The idea of this paper arises from the aim to deepen the comprehension of this approach and to highlight the potential implementation of tools and methodologies based on it to treat economic complex systems. An overview of the literature about the RE is presented, by focusing on the definition and on the state of the art of the research, and then we consider two potential tools that could translate the methodological issues of RE by evidencing advantages and disadvantages for economic analysis: the recurrence analysis and the agent-based model (ABM).

scholarly journals Detection of Emergent Situations in Complex Systems by Structural Invariant (MB, M)

MENDEL ◽  
2017 ◽  
Vol 23 (1) ◽  
pp. 163-170 ◽  
Author(s):  
Jiri Bila ◽  
Martin Novak
Keyword(s):  
Complex System ◽  
Complex Systems ◽  
Detection Method ◽  
Water Cycle ◽  
Ramsey Theorem ◽  
Structural Invariant

The paper introduces complete description of the detection method that uses structural invariant Matroid and its Bases (MB, M). There are recapitulated essential concepts from the used knowledge field as “complex system, emergent situations (A, B, C)”, Ramsey theorem and principal computation variables “power” and “complexity” of emergence phenomenon. The method is explained in details and the demonstration of its application is done by the detection of emergent situation – violation of Short Water Cycle in an ecosystem.

scholarly journals Assessing Cyber-Worthiness of Complex System Capabilities using MBSE: A new rigorous engineering methodology

2021 ◽  
Author(s):  
Stuart Fowler ◽  
Keith Joiner ◽  
Elena Sitnikova
Keyword(s):  
Complex System ◽  
Complex Systems ◽  
Systems Engineering ◽  
Cyber Attacks ◽  
Simulation Methods ◽  
Assessment Methodology ◽  
Cyber Attack ◽  
Cyber Threats ◽  
Attack Surface ◽  
Model Based Systems Engineering

<div>Cyber-worthiness as it is termed in Australian Defence, or cyber-maturity more broadly, is a necessary feature of modern complex systems which are required to operate in a hostile cyber environment. To evaluate the cyber-worthiness of complex systems, an assessment methodology is required to examine a complex system’s or system-of-system’s vulnerability to and risk of cyber-attacks that can compromise such systems. This assessment methodology should address the cyber-attack surface and threat kill chains, including supply chains and supporting infrastructure. A cyber-worthiness capability assessment methodology has been developed based on model-based systems engineering concepts to analyse the cyber-worthiness of complex systems and present a risk assessment of various cyber threats to the complex system. This methodology incorporates modelling and simulation methods that provide organisations greater visibility and consistency across diverse systems, especially to drive cybersecurity controls, investment and operational decisions involving aggregated systems. In this paper, the developed methodology will be presented in detail and hypothesised outcomes will be discussed.</div>

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