Open Access. Powered by Scholars. Published by Universities.®

Controls and Control Theory Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 3 of 3

Full-Text Articles in Controls and Control Theory

Synergetic Synthesis Of Multivariate Nonlinear Dynamic Objects, Isamiddin Siddikov, Komil Usmanov Apr 2023

Synergetic Synthesis Of Multivariate Nonlinear Dynamic Objects, Isamiddin Siddikov, Komil Usmanov

Chemical Technology, Control and Management

Based on the synergetic approach, the article solves the problem of analyzing a chemical reactor as a control object and formulates recommendations on the structural and topological synthesis of various control system options. The main feature of technological control objects, in which, as a result of hydromechanical, physical, chemical influences on the flows of the starting substances, their physical properties, state of aggregation and composition change, is their multidimensionality, nonlinearity, multiconnectedness, as well as parametric uncertainty of the mathematical model at the design stage. This type of facility includes a chemical reactor, thermal management, which in most cases is carried …


Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar Jan 2018

Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar

SIUE Faculty Research, Scholarship, and Creative Activity

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters tau_i, i = 1, 2, . . . ,K. The characteristic quasipolynomial of such an equation is a multilinear function of exp(-tau_i s). It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delayper- scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence …


Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar Jan 2018

Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar

SIUE Faculty Research, Scholarship, and Creative Activity

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters τi, i = 1, 2, . . . , K. The characteristic quasipolynomial of such an equation is a multilinear function of e−τis. It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delay-per-scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between …