Dynamics of bilateral control system with state feedback for price adjustment strategy

2021 ◽  
pp. 2150031
Author(s):  
Meng Zhang ◽  
Yi Zhao ◽  
Xinyu Song
Keyword(s):  
Dynamic Properties ◽  
Price Adjustment ◽  
Bilateral Control ◽  
Positive Role ◽  
Price Fluctuation ◽  
Adjustment Strategy ◽  
Adjustment Strategies ◽  
The Stability ◽  
Theoretical Results

The price fluctuation of commodities affects their demand, and it strongly influences the development of industry and the stability of the international economy. A price-output model with two price-dependent impulses is presented in this paper to describe their mutual restrictions and the price adjustment strategies. The equilibria and dynamic properties of the impulsive-free price-output model are qualitatively analyzed, and the results show the hazard of free price fluctuation. For the price-output model with two price-dependent impulses, conditions for the existence of the order-2 periodic solution are obtained, and the orbital asymptotic stability is proved. Those results reveal the positive role of price adjustment strategies. Finally, some numerical simulations are carried out to verify the theoretical results.

scholarly journals Complexity Analysis of Prefabrication Contractors’ Dynamic Price Competition in Mega Projects with Different Competition Strategies

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Jianbo Zhu ◽  
Qianqian Shi ◽  
Peng Wu ◽  
Zhaohan Sheng ◽  
Xiangyu Wang
Keyword(s):  
Price Competition ◽  
Complexity Analysis ◽  
System Stability ◽  
Price Adjustment ◽  
Competition Strategy ◽  
Dynamic Price ◽  
Adjustment Strategy ◽  
The Stability ◽  
Parameter Values ◽  
Initial Capacity

This paper considers a repeated duopoly game of prefabrication contractors in mega infrastructure projects and assumes the contractors exhibit bounded rationality. Based on the theory of bifurcation of dynamical systems, a dynamic price competition model is constructed considering different competition strategies. Accordingly, the stability of the equilibrium point of the system is discussed considering different initial market capacities, and numerical simulation is performed. The results show the system has a unique equilibrium solution when initial capacity is high and the parameters meet certain conditions. The contractors’ price adjustment strategy has an important influence on system stability. However, an overly aggressive competition strategy is not conducive to system stability. Moreover, the system is sensitive to initial parameter values.

scholarly journals SCIENCE WITHOUT “INTERMEDIARIES” (TO THE ANNIVERSARY OF RIMMA DMITRIEVNA GOLDINA)

2021 ◽  
Vol 31 (4) ◽  
pp. 678-682
Author(s):  
A.V. Bogachev
Keyword(s):  
Visual Perception ◽  
Scientific Research ◽  
Negative Consequences ◽  
Joint Work ◽  
Positive Role ◽  
Brain System ◽  
Archaeological Material ◽  
The Stability ◽  
Absolute Knowledge

The article was prepared for the anniversary of R. D. Goldina and touches upon the issues of the methodology of scientific search in archeology. The positive role of the researcher in the discussion about the chronology of early medieval antiquities, which was held in 1976 in Leningrad, is noted. Possible negative consequences of using alien sketches of archaeological material in scientific research are shown. Modern research (B. V. Rauschenbach) has shown that visual perception of space is a joint work of the eye + brain system, and not of the eye alone. When working with a certain kind of archaeological sources, the researcher's brain must be “trained” to recognize significant signs of this particular kind of sources. The stability of the chronological scheme of R. D. Goldina is predetermined by absolute knowledge of the material that was obtained as a result of her own author's excavations. Methodology for the analysis of archaeological material, developed by R. D. Goldina, is at the heart of many modern researches.

Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays

2021 ◽  
Vol 31 (11) ◽  
pp. 2150172
Author(s):  
S. A. Kashchenko
Keyword(s):  
Dynamic Properties ◽  
Small Neighborhood ◽  
Parabolic Type ◽  
Logistic Equation ◽  
Nonlinear Boundary Value Problems ◽  
Local Dynamics ◽  
State Dependent ◽  
Balance State ◽  
The Stability

The article considers the question of local dynamics of the logistic equation with delays and the delay coefficients being the nonlinear functions. It is supposed that one of the parameters, characterizing the delay value, is sufficiently large. The stability criterion is formulated and critical cases in the problem of balance state stability are defined. The main content of the paper is focused on studying the local dynamics in cases close to critical. In nature, these critical cases are infinite dimensional. Special nonlinear boundary-value problems of the parabolic type are constructed, which play the role of normal forms. Their nonlocal dynamics defines the behavior of the solutions from the small neighborhood of the balance state of the initial equation. The conclusions on the role of nonlinearity in the delay coefficients, in the behavior of the dynamic properties of the solutions are summarized.

scholarly journals Dynamic Properties of the Solow Model with Bounded Technological Progress and Time-to-Build Technology

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Luca Guerrini ◽  
Mauro Sodini
Keyword(s):  
Technological Progress ◽  
Center Manifold ◽  
Dynamic Properties ◽  
Solow Model ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Time To Build ◽  
Form Theory ◽  
The Stability ◽  
Theoretical Results

We introduce a time-to-build technology in a Solow model with bounded technological progress. Our analysis shows that the system may be asymptotically stable, or it can produce stability switches and Hopf bifurcations when time delay varies. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem. Numerical simulations confirms the theoretical results.

Development of Phosphorylated Glucomannan-Coated Chitosan Nanoparticles as Nanocarriers for Protein Delivery

2006 ◽  
Vol 6 (9) ◽  
pp. 2887-2895 ◽  
Author(s):  
M. Cuña ◽  
M. Alonso-Sande ◽  
C. Remuñán-López ◽  
J. P. Pivel ◽  
J. L. Alonso-Lebrero ◽  
...  
Keyword(s):  
Protein Delivery ◽  
Sodium Phosphate ◽  
Chitosan Nanoparticles ◽  
Stability Study ◽  
Ionic Gelation ◽  
Positive Role ◽  
Cryoprotective Agents ◽  
Freeze Dried ◽  
The Stability

The aim of the present work was to develop a new nanoparticle carrier, adapted for the oral administration of proteins and their delivery to the immune system. Chitosan and phosphorylated glucomannan were chosen as major constituents of the nanoparticles. Chitosan nanoparticles were formed by ionic gelation and then coated with glucomannan. Two different protocols were adopted for the formation of the glucomannan coating: protocol I, in which chitosan nanoparticles were isolated before their coating; protocol II, in which chitosan nanoparticles were not isolated, but coated with glucomannan in the presence of free chitosan. The results showed that, under the selected formulation conditions, the sizes of the nanoparticles ranged between 170 and 300 nm and their zeta potential values were inverted from positive to negative by the glucomannan coating. The nanoparticles prepared by the two protocols could be freeze-dried, in the presence or absence of cryoprotective agents, preserving their original characteristics. The results of the stability study evidenced the positive role of the glucomannan coating in preventing the aggregation of the nanoparticles in buffered media. Finally, the association of the inmunomodulatory protein complex P1 to the chitosan-glucomannan nanoparticles was investigated. The results showed that the association was not dependent on the chitosan: sodium tripoliphosphate ratio, but it was significantly affected by the presence of sodium phosphate in the protein structure.

scholarly journals Complexity Dynamic Character Analysis of Retailers Based on the Share of Stochastic Demand and Service

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Junhai Ma ◽  
Weiya Di ◽  
Hao Ren
Keyword(s):  
Stochastic Demand ◽  
Stable State ◽  
Service Level ◽  
Price Adjustment ◽  
Stable Region ◽  
Largest Lyapunov Exponent ◽  
Market Demand ◽  
Price Fluctuation ◽  
Adjustment Speed ◽  
The Stability

Apart from the price fluctuation, the retailers’ service level becomes another key factor that affects the market demand. This paper depicts a modified price and demand game model based on the stochastic demand and the retailer’s service level which influences the market demand decided by customers’ preference, while the market demand is stochastic in this model. We explore how the price adjustment speed affects the stability of the supply chain system with respect to service level and stochastic demand. The dynamic behavior of the system is researched by simulation and the stability domain and the bifurcation phenomenon are shown clearly. The largest Lyapunov exponent and the chaotic attractor are also given to confirm the chaotic characteristic of the system. The simulation results indicate that relatively small price adjustment speed may maintain the system at stable state. With the price adjustment speed gradually increasing, the price system gets unstable and finally becomes chaotic. This chaotic phenomenon will perturb the product market and this phenomenon should be controlled to keep the system stay in the stable region. So the chaos control is done and the chaos can be controlled completely. The conclusion makes significant contribution to the system referring to the price fluctuation based on the service level and stochastic demand.

Are Three Items Sufficient to Measure Sense of Coherence?

2018 ◽  
Vol 34 (4) ◽  
pp. 229-237 ◽  
Author(s):  
Francesca Chiesi ◽  
Andrea Bonacchi ◽  
Caterina Primi ◽  
Alessandro Toccafondi ◽  
Guido Miccinesi
Keyword(s):  
Sense Of Coherence ◽  
Convergent Validity ◽  
Clinical Sample ◽  
Clinical Samples ◽  
Depression Symptoms ◽  
Time Saving ◽  
Positive Role ◽  
Patients With Cancer ◽  
Measure Sense

Abstract. The present study aimed at evaluating if the three-item sense of coherence (SOC) scale developed by Lundberg and Nystrom Peck (1995) can be effectively used for research purpose in both nonclinical and clinical samples. To provide evidence that it represents adequately the measured construct we tested its validity in a nonclinical (N = 658) and clinical sample (N = 764 patients with cancer). Results obtained in the nonclinical sample attested a positive relation of SOC – as measured by the three-item SOC scale – with Antonovsky’s 13-item and 29-item SOC scales (convergent validity), and with dispositional optimism, sense of mastery, anxiety, and depression symptoms (concurrent validity). Results obtained in the clinical sample confirmed the criterion validity of the scale attesting the positive role of SOC – as measured by the three-item SOC scale – on the person’s capacity to respond to illness and treatment. The current study provides evidence that the three-item SOC scale is a valid, low-loading, and time-saving instrument for research purposes on large sample.

A Statistical Study of Process Variables to Optimize a High Speed Curtain Coater: Part I

TAPPI Journal ◽  
2009 ◽  
Vol 8 (1) ◽  
pp. 20-26 ◽  
Author(s):  
PEEYUSH TRIPATHI ◽  
MARGARET JOYCE ◽  
PAUL D. FLEMING ◽  
MASAHIRO SUGIHARA
Keyword(s):  
Boundary Layer ◽  
Experimental Design ◽  
High Speed ◽  
Statistical Study ◽  
Process Variables ◽  
High Speeds ◽  
The Stability ◽  
Air Removal ◽  
Removal System

Using an experimental design approach, researchers altered process parameters and material prop-erties to stabilize the curtain of a pilot curtain coater at high speeds. Part I of this paper identifies the four significant variables that influence curtain stability. The boundary layer air removal system was critical to the stability of the curtain and base sheet roughness was found to be very important. A shear thinning coating rheology and higher curtain heights improved the curtain stability at high speeds. The sizing of the base sheet affected coverage and cur-tain stability because of its effect on base sheet wettability. The role of surfactant was inconclusive. Part II of this paper will report on further optimization of curtain stability with these four variables using a D-optimal partial-facto-rial design.

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