Browsing by Author "Mayank Srivastava"

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Backstepping control for combined function projective synchronization among fractional order chaotic systems with uncertainties and external disturbances
(Springer International Publishing, 2018) Vijay K. Yadav; Mayank Srivastava; Subir Das
In the present chapter the combined function projective synchronization among fractional order chaotic systems in the presence of uncertain parameters and external disturbances using backstepping control method is investigated. The chaotic attractors of the systems are found for fractional-order time derivative, which is described in Caputo sense. A new lemma of Caputo derivatives is used to design the controller based on Lyapunov stability theory. During the combined function projective synchronization among the non-identical fractional order systems, the Lorenz, Rossler and Chen systems are taken to illustrate the effectiveness of the considered method. Numerical simulation and graphical results for different particular cases clearly exhibit that the method with this new procedure is easy to implement and reliable for synchronization of non-identical fractional order chaotic systems. © 2018, Springer International Publishing AG.
Function projective synchronization of fractional order satellite systems and its stability analysis for incommensurate case
(Physical Society of the Republic of China, 2018) Vijay K. Yadav; Vijay K. Shukla; Subir Das; A.Y.T. Leung; Mayank Srivastava
In this article, the stability analysis, chaos control and the function projective synchronization between fractional order identical satellite systems have been studied. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate and incommensurate fractional order systems are discussed. Feedback control method is used to control the chaos in the considered fractional order satellite system. Using the fractional calculus theory and computer simulation, it is found that the chaotic behavior exists in the fractional order satellite system and the lowest order of derivative where the chaos exits is 2.82. Adams-Bashforth-Moulton method is applied during numerical simulations and the results obtain are displayed through graphs. © 2018 The Physical Society of the Republic of China (Taiwan)
Stability analysis, chaos control of a fractional order chaotic chemical reactor system and its function projective synchronization with parametric uncertainties
(Physical Society of the Republic of China, 2017) Vijay K. Yadav; Subir Das; Beer Singh Bhadauria; Ashok K. Singh; Mayank Srivastava
In this article, the stability analysis, chaos control and function projective synchronization between a fractional order chaotic chemical reactor system and a chaotic chemical reactor system with uncertain parameters are performed with the help of a new lemma for the Caputo derivative and the Lyapunov stability theory. Furthermore, when the parameters of the system are fixed, the lowest order for chaos to exist is determined. The nonlinear control method is used to achieve function projective synchronization and chaos control of considered chaotic chemical reactor system. Numerical simulations are carried out using the Adams-Bashforth Moulton method and the results are depicted through graphs. © 2017 The Physical Society of the Republic of China (Taiwan)
Three-way combination of post-emergence herbicides under DSR and TPR: deciphering weeds, energy budgeting, productivity and economic output in Northern Indo-Gangetic plains
(Indian Academy of Sciences, 2025) Satish K. Verma; Sameer Shrivastava; Mohammad Vaheed; Deepak Kumar Yadav; Chandra Bhushan; Mayank Srivastava; Sudhir Kumar S. Rajpoot; Sukhchain B. Singh; Himansi Singh
The herbicide formulations were used as post-emergence in direct-seeded rice (DSR) and transplanted rice (TPR) against manual weeding and weedy check during kharif season of 2017–18 and 2018–19 at Varanasi, focusing on different weed species, energy budgeting, productivity and economic outcomes. The results showed that TPR significantly reduced the density and biomass of weeds with a lower weed index (WI) and higher weed control efficiency (WCE), yield, profitability and energy use over DSR. Significantly lower density (45–60%) and dry biomass of weed, with lower WI and the highest WCE, yield, returns and energy efficiency over other herbicides were computed with the use of BMC-II (270 g/ha) at 30 days after sowing. © (2025), (Indian Academy of Sciences). All rights reserved.