scholarly journals STRONG STABILITY OF A NONLINEAR MULTI-STAGE DYNAMIC SYSTEM IN BATCH CULTURE OF GLYCEROL BIOCONVERSION TO 1,3-PROPANEDIOL

2016 ◽  
Vol 21 (2) ◽  
pp. 159-173 ◽  
Author(s):  
Jinxing Zhang ◽  
Jinlong Yuan ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
Zhilong Xiu
Keyword(s):  
Dynamic System ◽  
Batch Culture ◽  
Simulation Study ◽  
Fundamental Matrix ◽  
Strong Stability ◽  
Initial State ◽  
Variational System ◽  
Extensive Simulation ◽  
Multi Stage ◽  
Stage System

In this paper, we consider a nonlinear multi-stage dynamic system to characterize batch culture. We construct corresponding linear variational system for the solution to the multi-stage system, also prove the boundedness of fundamental matrix solutions for the linear variational system. On this basis, we prove strong stability with respect to perturbance of initial state vector for the multi-stage system through the application of such boundedness. From extensive simulation study, it is observed that the strong stability is highly satisfactory.

Strong stability of optimal design to dynamic system for the fed-batch culture

2017 ◽  
Vol 10 (02) ◽  
pp. 1750018 ◽  
Author(s):  
Jinxing Zhang ◽  
Jinlong Yuan ◽  
Zhenyu Dong ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
...  
Keyword(s):  
Optimal Design ◽  
Dynamic System ◽  
Batch Culture ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic System ◽  
Strong Stability ◽  
Fed Batch ◽  
Variational System ◽  
Special Cases ◽  
Fed Batch Culture

Most economic and industrial processes are governed by inherently nonlinear dynamic system in which mathematical analysis (with few exceptions) is unable to provide general solutions; even the conditions to the existence of equilibrium point for the nonlinear dynamic system are simply not established in some special cases. In this paper, based on numerical solution of a nonlinear multi-stage automatic control dynamic (NMACD) in fed-batch culture of glycerol bioconversion to 1,3-propanediol (1,3-PD) induced by Klebsiella pneumoniae (K. pneumoniae), we consider an optimal design of the NMACD system. For convenience, the NMACD system is reconstructed together with the existence, uniqueness and continuity of solutions are discussed. Our goal is to prove the strong stability with respect to the perturbation of initial state for the solution to the NMACD system. To this end, we construct corresponding linear variational system for the solution to the NMACD system, and also prove the boundedness of fundamental matrix solutions to the linear variational system. On this basis, we prove the strong stability appearing above through the application of this boundedness.

scholarly journals Modeling and parameter identification for a nonlinear multi-stage system for dha regulon in batch culture

2016 ◽  
Vol 40 (1) ◽  
pp. 468-484 ◽  
Author(s):  
Hongchao Yin ◽  
Jinlong Yuan ◽  
Xu Zhang ◽  
Jun Xie ◽  
Enmin Feng ◽  
...  
Keyword(s):  
Parameter Identification ◽  
Batch Culture ◽  
Multi Stage ◽  
Stage System ◽  
Dha Regulon

Strong stability of an optimal control hybrid system in fed-batch fermentation

2018 ◽  
Vol 11 (04) ◽  
pp. 1850045 ◽  
Author(s):  
Zhenyu Dong ◽  
Bing Tan ◽  
Yuduo Zhang ◽  
Jinlong Yuan ◽  
Enmin Feng ◽  
...  
Keyword(s):  
Optimal Control ◽  
Batch Fermentation ◽  
Equilibrium Points ◽  
Strong Stability ◽  
Fed Batch ◽  
Initial State ◽  
Variational System ◽  
Fed Batch Fermentation ◽  
Fed Batch Culture ◽  
Nonlinear Hybrid

In this paper, we consider a nonlinear hybrid dynamic (NHD) system to describe fed-batch culture where there is no analytical solutions and no equilibrium points. Our goal is to prove the strong stability with respect to initial state for the NHD system. To this end, we construct corresponding linear variational system (LVS) for the solution of the NHD system, also prove the boundedness of fundamental matrix solutions for the LVS. On this basis, the strong stability is proved by such boundedness.

Danish Experience with Emergent Hydrophyte Treatment Systems (EHTS) and Prospects in the Light of Future Requirements on Outlet Water Quality

1990 ◽  
Vol 22 (3-4) ◽  
pp. 65-72 ◽  
Author(s):  
H.-H. Schierup ◽  
H. Brix
Keyword(s):  
Wastewater Treatment ◽  
Total Nitrogen ◽  
Total Phosphorus ◽  
Wastewater Treatment Plants ◽  
Sewage Treatment ◽  
Reed Beds ◽  
Effluent Quality ◽  
Multi Stage ◽  
Run Off ◽  
Stage System

Since 1983 approximately 150 full-scale emergent hydrophyte based wastewater treatment plants (reed beds) have been constructed in Denmark to serve small wastewater producers. The development of purification performance for 21 plants representing different soil types, vegetation, and hydraulic loading rates has been recorded. Cleaning efficiencies were typically in the range of 60-80% reduction for BOD, 25-50% reduction for total nitrogen, and 20-40% reduction for total phosphorus. The mean effluent BOD, total nitrogen and total phosphorus concentrations of the reed beds were 19 ± 10, 22 ± 9 and 6.7 ± 3.2 mg/l (mean ± SD), respectively. Thus, the general Danish effluent standards of 8 mg/l for N and 1.5 mg/l for P for sewage plants greater than 5,000 PE cannot be met by the present realised design of EHTS. The main problem observed in most systems is a poor development of horizontal hydraulic conductivity in the soil which results in surface run-off. Since the political demands for effluent quality will be more strict in the future, it is important to improve the performance of small decentral sewage treatment plants. On the basis of experiences from different types of macrophyte based and conventional low-technology wastewater treatment systems, a multi-stage system is suggested, consisting of sedimentation and sand filtration facilities followed by basins planted with emergent and submergent species of macrophytes and algal ponds.

scholarly journals Transforming variables to central normality

2021 ◽  
Author(s):  
Jakob Raymaekers ◽  
Peter J. Rousseeuw
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimator ◽  
Simulation Study ◽  
Real Data ◽  
Data Sets ◽  
Transformation Parameter ◽  
Likelihood Estimator ◽  
Extensive Simulation ◽  
Highly Sensitive

AbstractMany real data sets contain numerical features (variables) whose distribution is far from normal (Gaussian). Instead, their distribution is often skewed. In order to handle such data it is customary to preprocess the variables to make them more normal. The Box–Cox and Yeo–Johnson transformations are well-known tools for this. However, the standard maximum likelihood estimator of their transformation parameter is highly sensitive to outliers, and will often try to move outliers inward at the expense of the normality of the central part of the data. We propose a modification of these transformations as well as an estimator of the transformation parameter that is robust to outliers, so the transformed data can be approximately normal in the center and a few outliers may deviate from it. It compares favorably to existing techniques in an extensive simulation study and on real data.

scholarly journals Research on Double-Stage and Multi-Stage Capacitive Deionization Absorption Air-Conditioning System

Processes ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 395
Author(s):  
Feng Cheng ◽  
Boqing Ding ◽  
Xiuwei Li
Keyword(s):  
Air Conditioning ◽  
Pure Water ◽  
Good Choice ◽  
Coefficient Of Performance ◽  
Capacitive Deionization ◽  
Joint Work ◽  
Thermal Regeneration ◽  
Air Conditioning System ◽  
Multi Stage ◽  
Stage System

An absorption air-conditioning system is a good choice for green buildings. It has the superiority in the utilization of renewable energy and the refrigerant is environment-friendly. However, the performance of the traditional absorption system has been restricted by the energy waste in the thermal regeneration process. Capacitive deionization (CDI) regeneration is proposed as a potential method to improve system efficiency. In the new method-based air-conditioning system, strong absorbent solutions and pure water are acquired with the joint work of two CDI units. Nevertheless, the practical CDI device is composed of a lot of CDI units, which is quite different from the theoretical model. To reveal the performance of multiple CDI units, the model of the double/multi-stage CDI system has been developed. Analysis has been made to expose the influence of some key parameters. The results show the double-stage system has better performance than the single-stage system under certain conditions. The coefficient of performance (COP) could exceed 4.5, which is higher than the traditional thermal energy-driven system, or even as competitive as the vapor compression system. More stages with proper voltage distribution better the performance. It also provides the optimization method for the multi-stage CDI system.

Identification and robustness analysis of nonlinear multi-stage enzyme-catalytic dynamical system in batch culture

2014 ◽  
Vol 34 (3) ◽  
pp. 957-978 ◽  
Author(s):  
Jinlong Yuan ◽  
Xu Zhang ◽  
Xi Zhu ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
...  
Keyword(s):  
Dynamical System ◽  
Batch Culture ◽  
Robustness Analysis ◽  
Multi Stage
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