Author: "Regan Murugesan" / Topic: lyapunov function - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Regan Murugesan" Topic lyapunov function

Author: Suresh Rasappan, Sathish Kumar Kumaravel, R. Narmada Devi, and Regan Murugesan
Subjects: asymptotic mean square stability, t-s neutrosophic system, chaos synchronization, lyapunov function, Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95
Abstract: This paper examines the asymptotic mean square solidness of a turbulent synchronization to time de lay neutrosophic stochastic framework. The Lyapunov solidness hypothesis is utilized to plan a neutrosophic-based stochastic framework with time postpone that is supposed to be asymptotically mean square steady. The Takagi Sugeno neutrosophic model had been made to make a neutrosophic spectator with a versatile refreshing system, as well as a neutrosophic spectator inside that presence. To communicate versatile update rules and control execution, direct framework disparity is utilized (LMI). A neutrosophic-based versatile control plot is assessed utilizing the idea of obscure. however, fixed boundary frameworks. The Lyapunov dependability hypothesis is utilized to foster the effectiveness of stochastic time delay tumultuous frameworks. For mathematical calculation, the Genesio-Tesi tumul tuous framework is used. The neutrosophic fluffy framework yield is completed utilizing MATLAB. Hypothetical outcomes are approved by this recreation.
Published: 2023
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Author: Suresh Rasappan and Regan Murugesan
Subjects: Lyapunov function, Government, education.field_of_study, Observer (quantum physics), Population, Hiv epidemiology, Stability (learning theory), virus diseases, symbols.namesake, Exponential stability, symbols, Observability, Psychology, education, Demography
Abstract: The government and various authorized agencies are trying to reduce HIV population day by day. The proposed mathematical model may help to observe the patch of HIV infected or suspected population by nominated agencies. The proposed mathematical model supports the observability and asymptotic stability of the propagation of HIV epidemiology in a migrant heterosexual affected population.
Published: 2021
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Author: Regan Murugesan and Suresh Rasappan
Subjects: Lyapunov function, Equilibrium point, education.field_of_study, Observer (quantum physics), Stochastic modelling, Computer science, Population, Public Health, Environmental and Occupational Health, Force of infection, Function (mathematics), Stability (probability), symbols.namesake, symbols, Quantitative Biology::Populations and Evolution, Applied mathematics, education
Abstract: This paper investigates the state estimation of a stochastic model for the spread of HIV in mobile heterosexual population. The transmission of HIV model with the force of infection in the multiple patches is investigated for the varying population. In this paper, we introduce a novel concept of the observer model like a transmission of HIV model to estimate the spread of HIV in mobile heterosexual population. The boundedness and the equilibrium points have been found for the error state of observer model and original model. The global stability properties are analyzed by the concept of Lyapunav function. The stochastic model is introduced for the examination of the stochastic stability of the positive equilibrium. The stochastic and deterministic models of the system are compared and analyzed. Finally numerical examples and corresponding diagrams are presented to support the results.
Published: 2019
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