ORCID Profile
0000-0002-5528-2709
Current Organisation
Bharathiar University
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Publisher: AIP Publishing
Date: 06-2020
DOI: 10.1063/5.0011086
Abstract: This article investigates the dust ion acoustic multi-shock wave excitations in weakly relativistic multi-component plasma by assuming nonthermal, nonextensive electrons and positrons, relativistic ion fluid having kinetic viscosity and immobile dust. Burgers equation is derived to investigate such excitations by applying the reductive perturbation method. The exponential functions are directly implemented to determine the novel multi-shock wave solution of Burgers equation. The dust ion acoustic (DIA) multi-shock wave excitations are investigated systematically to reveal the effects of parameters, namely, viscosity coefficient of ions, positron to electron density ratio, immobile dust to electron density ratio, ion to electron temperature ratio, electron to positron temperature ratio, and relativistic streaming factor of ions in the presence of nonthermal, nonextensive, and concurrently acting nonthermal and nonextensive electrons as well as positrons. It is found that the litudes and widths of not only single, but also multi-shock wave compressive and rarefactive electrostatic potential structures are changed with the influence of all plasma parameters. The obtained results may be useful to analyze the nature of DIA multi-shock wave phenomena in various astrophysical as well as space environments (particularly, in pulsar relativistic winds with supernova ejecta) and future studies in plasma laboratory.
Publisher: Informa UK Limited
Date: 25-09-2015
Publisher: Informa UK Limited
Date: 08-02-2019
Publisher: Informa UK Limited
Date: 24-01-2019
Publisher: Wiley
Date: 04-08-2017
DOI: 10.1002/ACS.2801
Publisher: Elsevier BV
Date: 11-2016
Publisher: Springer Science and Business Media LLC
Date: 11-09-2013
Publisher: Elsevier BV
Date: 04-2014
Publisher: Vilnius University Press
Date: 03-2021
DOI: 10.15388/NAMC.2021.26.22355
Abstract: The H∞ filtering problem for a class of networked nonlinear Markovian jump systems subject to randomly occurring distributed delays, nonlinearities, quantization effects, missing measurements and sensor saturation is investigated in this paper. The measurement missing phenomenon is characterized via a random variable obeying the Bernoulli stochastic distribution. Moreover, due to bandwidth limitations, the measurement output is quantized using a logarithmic quantizer and then transmitted to the filter. Further, the output measurements are affected by sensor saturation since the communication links between the system and the filter are unreliable and is described by sector nonlinearities. The objective of this work is to design a quantized resilient filter that guarantees not only the stochastic stability of the augmented filtering error system but also a prespecified level of H∞ performance. Sufficient conditions for the existence of desired filter are established with the aid of proper Lyapunov–Krasovskii functional and linear matrix inequality approach together with stochastic analysis theory. Finally, a numerical ex le is presented to validate the developed theoretical results.
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Date: 12-2015
Publisher: Elsevier BV
Date: 11-2021
Publisher: Hindawi Limited
Date: 2013
DOI: 10.1155/2013/792518
Publisher: Hindawi Limited
Date: 2013
DOI: 10.1155/2013/901625
Abstract: We examine the controllability problem for a class of neutral fractional integrodifferential equations with impulses and infinite delay. More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral impulsive fractional functional equation with infinite delay. Further, as a corollary, approximate controllability result is discussed by assuming compactness conditions on solution operator. The results are established by using solution operator, fractional calculations, and fixed point techniques. In particular, the controllability of nonlinear fractional control systems is established under the assumption that the corresponding linear control system is controllable. Finally, an ex le is given to illustrate the obtained theory.
Publisher: Wiley
Date: 10-06-2021
DOI: 10.1002/RNC.5578
Abstract: This study is systematically devoted to the problem of dynamic output feedback control for bipartite consensus of multiagent systems in the presence of Markov switching topologies. The main purpose of this study is to develop a dynamic output feedback controller with gain fluctuations such that the considered multiagent system achieves bipartite consensus. Notably, the interaction among agents of the considered system is depicted by a signed undirected Markovian switching network topologies. Pursuant to Lyapunov stability theory and algebraic graph theory, sufficient conditions will be derived in terms of linear matrix inequalities to obtain the bipartite consensus of the concerned problem. At last, superiority of the designed dynamic output feedback control technique and developed theoretical results are conferred through two numerical ex les.
Publisher: Wiley
Date: 17-02-2015
DOI: 10.1002/RNC.3316
Publisher: Wiley
Date: 10-11-2020
DOI: 10.1002/ACS.3202
Publisher: Vilnius University Press
Date: 02-03-2020
DOI: 10.15388/NAMC.2020.25.16515
Abstract: The main intention of this paper is to scrutinize the problem of internal model-based dynamic output feedback nonfragile reliable control problem for fractional-order glucose–insulin system. Specifically, a robust control law that represents the insulin injection rate is designed in order to regulate the level of glucose in diabetes treatment in the existence of meal disturbance or external glucose infusion due to improper diet. By the construction of suitable Lyapunov functional, a novel set of sufficient conditions is derived with the aid of linear matrix inequalities for obtaining the required dynamic output feedback control law. In particular, the designed controller ensures the robust stability and disturbance attenuation performance against meal disturbance of the glucose–insulin system. Numerical simulation results are performed to verify the advantage of the developed design technique. Specifically, the irregular blood glucose level can be brought down to normal level by injecting suitable rate of insulin to the patient. The result exposes that the level of blood glucose is sustained in the identified ranges via the proposed dynamic output feedback control law.
No related grants have been discovered for Sakthivel Rathinasamy.