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Item This letter presents a one-shot algorithm, for inverting both Cauer I and II forms of continued fraction. The algorithm, which is amenable to digital computation, proceeds in the forward direction yielding at every stage the corresponding transfer function. Copyright © 1981 by the Institute of Electrical and Electronics Engineers, Inc.(An Improved Algorithm for Inverting Cauer I and II Continued Fractions) John, S.; Parthasarathy, R.1981Item This letter surveys the recently published methods for deriving stable reduced-order models and justifies how sophisticated techniques had to be evolved to meet different problems which arise in the reduction of high-order systems. © 1981, The Institution of Electrical Engineers. All rights reserved.(Cauer continued fraction methods for model reduction) Parthasarathy, R.; John, S.1981Item A new generalized algorithm, which can be programmed on a digital computer, is established for performing the inversion of the Cauer type continued fractions. © 1980 IEEE(A Generalized Algorithm for the Inversion of Cauer Type Continued Fractions) Parthasarathy, R.; John, S.1980Item This letter presents a procedure for obtaining reducedader models in statespace formulation, using modifd Cauer continued fraction as the basis. The proposed procedure is amenable to programming on a digital computer. Copyright © 1982 by The institute of Electrical and Electronic Engineeer, Inc.(State-Space Models Using Modified Cauer Continued Fraction) Parthasarathy, R.; John, S.1982Item A simple algorithm for obtaining the continued fraction quotients in the modified Cauer form (MCF) from the given system matrices in companion form is presented. In the sequel, the triple of all lower order models in companion form is directly obtained. A matrix method of obtaining the time-moments and Markov parameters from the MCF quotients is also outlined. Finally, it is shown that system reduction by matching a set of MCF quotients is equivalent to system reduction by matching a set of time-moments and Markov parameters. Copyright © 1983 by The Institute of Electrical and Electronics Engineers, Inc.(On Model Reduction by Modified Cauer Form) Parthasarathy, R.; Jayasimha, K.N.; John, S.1983Item Abating cationic dye in wastewater using natural coagulants(John Wiley and Sons Inc, 2025) Varala, S.; Kumari, A.; Buruga, K.; Bhargava, S.K.; Parthasarathy, R.Natural coagulants are a biodegradable and potential alternative to chemical coagulants. Cassia fistula seeds and Cactus opuntia f-indica are employed herein to reduce the concentration of methylene blue dye in aqueous solutions. Maximum removal efficiency was obtained by optimizing the process parameters by the Taguchi method in the design of experiments (DOE). At optimum conditions, the removal efficiencies of C. fistula seeds and Cactus opuntia f-indica were 98.27% and 92.75%, respectively. The adsorption kinetics data were fitted to pseudo-first-order, pseudo-second-order, Elovich, intra-particle diffusion, and Boyd kinetic models. Accordingly, intra-particle diffusion and pseudo-second-order kinetics suggested the coagulation process to be an adsorption process controlled by the solid-phase sorption with intra-particle diffusion as the rate-limiting step. A comparative study was also conducted using alum to determine its effectiveness in reducing dye concentration. Results suggested biocoagulants are appropriate alternatives for reducing dye concentrations in wastewater and treating textile and dye industrial effluents. © 2024 American Institute of Chemical Engineers.