A Matrix Approach for Analyzing Signal Flow Graph

Jeng, Shyr-Long; Roy, Rohit; Chieng, Wei Hua

doi:10.3390/info11120562

Cited by 3 publications

(2 citation statements)

References 20 publications

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“…The closed-loop transfer functions from input variables F EM (s) and disturbances P 2 (s) to output variables P 1 (s) can be obtained by the Mason formula [23]. The Mason formula can be expressed as…”

Section: Stability Analysis Of Outlet Back Pressure System Of Proportional Relief Valvementioning

confidence: 99%

Overflow Energy Loss Recovery System Based on Hydraulic Motor-Electric Generator

Zhong-shen

Lin

2021

Applied Sciences

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Overflow loss is one of the main reasons for the inefficiency of the hydraulic system. Aiming at the overflow loss in the hydraulic system, an energy recovery system based on a hydraulic motor and generator is proposed. Further, a pressure monitoring and control strategy based on variable speed control for electric generator is adopted, which can control the pressure differential between the inlet and outlet of the proportional relief valve as a small value, and achieve the purpose of energy recovery by reducing the loss of the pressure differential between the inlet and outlet of the relief valve. Through establishing a simulation system model and test platform, the stability, step response characteristics and energy saving of the system are studied. The results show that the energy recovery unit at the outlet of the relief valve does not affect the normal operation of the relief valve, but also greatly reduces the pressure regulation deviation. Besides, the efficiency of overflow loss recovery system about is 67%.

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Section: Stability Analysis Of Outlet Back Pressure System Of Proportional Relief Valvementioning

confidence: 99%

Overflow Energy Loss Recovery System Based on Hydraulic Motor-Electric Generator

Zhong-shen

Lin

2021

Applied Sciences

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“…The authors of [16] present an evaluation of a dynamic Transfer Matrix for a hydraulic turbine. The authors of [17] give a matrix approach for analyzing a signal flow graph, and [18] presents the Transfer Matrix of a MIMO system. Furthermore, [19] and [20] show applications of Transfer Matrices in acoustics.…”

Section: Introductionmentioning

confidence: 99%

An Approach Using the Transfer Matrix Method (TMM) for Mandible Body Bone Calculus

Suciu

2023

Mathematics

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This paper presents an original approach for mandible bone calculus by the Transfer Matrix Method (TMM). The role of the mandible bone is very important due to the three functions that it has: mastication, phonation and aesthetics. Due to these functions, there are many studies in this regard. The mandible bone is an unpaired bone and the only movable bone in the skull. For our studies, we separated a part of the mandible bone assimilated with a spring, and due to the symmetry we can only study a quarter of the circle, embedded at the two ends, charged perpendicular to its plane by a concentrated vertical load corresponding to a tooth which is on the studied side. This mandible side under study has eight teeth: two incisors, one canine, two premolars and three molars. The approach by the TMM is very easy to program, especially for extreme cases, when a quick calculus is needed to optimize the shape of the mandible. In the future we hope to be able to publish the calculation and shape optimization program and a related case study.

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Using Relational Biology with Loop Analysis to Study the North Atlantic Biological Carbon Pump in a ‘Hybrid’ Non-Algorithmic Manner

Lane

2024

Mathematics

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Biologists, philosophers, and mathematicians building upon Robert Rosen’s non-algorithmic theories of life using Relational Biology and Category Theory have continued to develop his theory and modeling approaches. There has been general agreement that the impredicative, self-referential, and complex nature of living systems negates an algorithmic approach. Rosen’s main goal was to answer, “What is Life?”. Many believe he provided the best but minimum answer using a cellular, metabolism–repair or (M, R)-system as a category-theoretic model. It has been challenging, however, to incorporate his theory to develop a fully non-algorithmic methodology that retains the essence of his thinking while creating more operational models of living systems that can be used to explore other facets of life and answer different questions. Living systems do more than the minimum in the real world beyond the confines of definition alone. For example, ecologists ask how living systems inherently mitigate existential risk from climate change and biodiversity loss through their complex self-organization. Loop Analysis, a signed graph technique, is discussed as a hybrid algorithmic/non-algorithmic methodology in Relational Biology. This methodology can be used at the ecosystem level with standard non-algorithmic field data as per McAllister’s description of the algorithmic incompressibility of empirical data of this type. An example is described showing how the North Atlantic Carbon Pump, an important planetary life support system, is situated in the plankton community and functions as a mutualistic ecosystem chimera. It captures carbon from the atmosphere as an extended (M, R)-system and processes it until it is sequestered in the marine sediments. This is an important process to alleviate climate change in magnitude equal to or larger than the sequestration of carbon on land with forests. It is suggested that the ecosystem level should replace the cellular and organismic levels as the main system unit in biology and evolution since all life exists and evolves with full functional potential in ecosystem networks and not laboratory test tubes. The plankton ecosystem is the largest after the total biosphere and consists of evolutionary links and relationships that have existed for eons of time. If there was ever a genuine robust, highly self-organized ecosystem, it would be planktonic. Severing the links in these thermodynamically open networks by focusing on lower levels of the biological hierarchy loses the critical organization of how life exists on this planet. There is no theory to regain this crucial ‘omitted’ ecological relational causality at the cell or organismal levels. At the end of the paper, some future directions are outlined.

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A Matrix Approach for Analyzing Signal Flow Graph

Cited by 3 publications

References 20 publications

Overflow Energy Loss Recovery System Based on Hydraulic Motor-Electric Generator

Overflow Energy Loss Recovery System Based on Hydraulic Motor-Electric Generator

An Approach Using the Transfer Matrix Method (TMM) for Mandible Body Bone Calculus

Using Relational Biology with Loop Analysis to Study the North Atlantic Biological Carbon Pump in a ‘Hybrid’ Non-Algorithmic Manner

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