scholarly journals Nonlinear Decomposition Principle and Fundamental Matrix Solutions for Dynamic Compartmental Systems

2018 ◽  
Author(s):  
Huseyin Coskun
Keyword(s):  
Mathematical Method ◽  
Fundamental Matrix ◽  
Nonlinear Dynamic ◽  
System Analysis ◽  
Dynamic Method ◽  
Compartmental Systems ◽  
Mathematical System ◽  
Nonlinear Decomposition ◽  
And Storage ◽  
Decomposition Principle

A decomposition principle for nonlinear dynamic compartmental systems is introduced in the present paper. This theory is based on the mutually exclusive and exhaustive, analytical and dynamic, novel system and subsystem partitioning methodologies. A deterministic mathematical method is developed for the dynamic analysis of nonlinear compartmental systems based on the proposed theory. The dynamic method enables tracking the evolution of all initial stocks, external inputs, and arbitrary intercompartmental flows, as well as the associated storages derived from these stocks, inputs, and flows individually and separately within the system. The transient and the dynamic direct, indirect, acyclic, cycling, and transfer (diact) flows and associated storages transmitted along a particular flow path or from one compartment--directly or indirectly--to any other are then analytically characterized, systematically classified, and mathematically formulated. Thus, the dynamic influence of one compartment, in terms of flow and storage transfer, directly or indirectly on any other compartment is ascertained. Consequently, new mathematical system analysis tools are formulated as quantitative system indicators. The proposed mathematical method is then applied to various models from literature to demonstrate its efficiency and wide applicability.

scholarly journals Dynamic Ecological System Analysis

2018 ◽  
Author(s):  
Huseyin Coskun
Keyword(s):  
Dynamic System ◽  
Nonlinear Dynamic ◽  
System Analysis ◽  
Interspecific Interactions ◽  
Mathematical Framework ◽  
Holistic View ◽  
Quantitative Classification ◽  
Network Analyses ◽  
Compartmental Systems ◽  
Dynamic Measures

This article develops a new mathematical method for holistic analysis of nonlinear dynamic compartmental systems through the system decomposition theory. The method is based on the novel dynamic system and subsystem partitioning methodologies through which compartmental systems are decomposed to the utmost level. The dynamic system and subsystem partitioning enable tracking the evolution of the initial stocks, environmental inputs, and intercompartmental system flows, as well as the associated storages derived from these stocks, inputs, and flows individually and separately within the system. Moreover, the transient and the dynamic direct, indirect, acyclic, cycling, and transfer (diact) flows and associated storages transmitted along a given flow path or from one compartment, directly or indirectly, to any other are analytically characterized, systematically classified, and mathematically formulated. Further, the article develops a dynamic technique based on the diact transactions for the quantitative classification of interspecific interactions and the determination of their strength within food webs. Major concepts and quantities of the current static network analyses are also extended to nonlinear dynamic settings and integrated with the proposed dynamic measures and indices within the proposed unifying mathematical framework. Therefore, the proposed methodology enables a holistic view and analysis of ecological systems. We consider that this methodology brings a novel complex system theory to the service of urgent and challenging environmental problems of the day and has the potential to lead the way to a more formalistic ecological science.

scholarly journals Static Ecological System Analysis

2018 ◽  
Author(s):  
Huseyin Coskun
Keyword(s):  
System Analysis ◽  
Interspecific Interactions ◽  
Ecological Systems ◽  
Mathematical Framework ◽  
The Novel ◽  
Holistic View ◽  
Network Analyses ◽  
Input And Output ◽  
Compartmental Systems

In this article, a new mathematical method for static analysis of compartmental systems is developed in the context of ecology. The method is based on the novel system and subsystem partitioning methodologies through which compartmental systems are decomposed to the utmost level. That is, the distribution of environmental inputs and intercompartmental system flows, as well as the organization of the associated storages generated by these flows within the system is determined individually and separately. Moreover, the transient and the static direct, indirect, acyclic, cycling, and transfer (diact) flows and associated storages transmitted along a given flow path or from one compartment, directly or indirectly, to any other are analytically characterized, systematically classified, and mathematically formulated. A quantitative technique for the categorization of interspecific interactions and the determination of their strength within food webs is also developed based on the diact transactions. The proposed methodology allows for both input- and output-oriented analyses of static ecological networks. The input- and output-oriented analyses are introduced within the proposed mathematical framework and their duality is demonstrated. Major flow- and stock-related concepts and quantities of the current static network analyses are also integrated with the proposed measures and indices within this unifying framework. This comprehensive methodology enables a holistic view and analysis of ecological systems.

Environmental Mechanisms to Improve the Quality Control System for the Enhancement of Production Competitiveness

2019 ◽  
Vol 10 (3) ◽  
pp. 687
Author(s):  
Lydia N. BELONOZHKO ◽  
Valentina A. IGNATENKO ◽  
Vladimir V. MAYER
Keyword(s):  
Product Quality ◽  
System Analysis ◽  
Practical Experience ◽  
Competitive Advantages ◽  
The Public ◽  
Analysis And Synthesis ◽  
Practical Guidelines ◽  
The Subject ◽  
Methodological Aspects ◽  
And Storage

The purpose of the article is to study the specifics of creating, promoting products and ecology control of quality in the practice of domestic enterprises, as well as forming recommendations for improving the quality system of environmental management to improve product competitiveness in modern conditions. In the process of research, system analysis, economic analysis, ecology analysis and synthesis, statistical and analytical methods, generalization, systematization, structuring were used. It is revealed that the increasing competition, the diversity of the same goods in the same price segment directs enterprises to search for new ways to create additional competitive advantages aimed at winning customer loyalty. The current situation requires quality management at all stages of the promotion of food to the consumer – from the production of agricultural products, their processing, transportation and storage to the sale to the public. The article studied practical experience. Problems were identified, theoretical and methodological aspects of the subject of research were investigated, on the basis of which scientific, methodological and practical guidelines were developed for structuring the system of product quality ecology management, choosing directions for improving the management of enterprise competitiveness through improving product quality.

A Nonlinear Decomposition Principle

1965 ◽  
Vol 13 (2) ◽  
pp. 266-271 ◽  
Author(s):  
J. L. Sanders
Keyword(s):  
Nonlinear Decomposition ◽  
Decomposition Principle

Research and Exploration of Volterra Series on Nonlinear System Identification and Modeling

2010 ◽  
Vol 439-440 ◽  
pp. 584-589 ◽  
Author(s):  
Y. Chen
Keyword(s):  
System Identification ◽  
Nonlinear System ◽  
Dynamic System ◽  
Nonlinear Dynamic ◽  
System Analysis ◽  
Reproducing Kernel ◽  
Volterra Series ◽  
Kernel Method ◽  
Nonlinear System Identification ◽  
Nonlinear Dynamic System

With the development of analysis and identification way to nonlinear dynamic system, people uses many different method to build up mathematics model to simulate nonlinear dynamic system. This paper introduces some important nonlinear system identification ways and a kind of Volterra series expression type in detail. This kind of way adopts Hilbert reproducing kernel method to build up nonlinear dynamic system model. Hilbert space provides a kind of effective expression type for Fourier series and transfer based on anyorthogonal polynomial. Volterra series function has very strict theory basic, which can be applied into many nonlinear dynamic system analysis and identification filed, and has broad practicality and application prospect.

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