Mathematical Modeling and Control for Engineering Applications

Dear Colleagues,

Mathematical modeling and the control of processes, described using various boundary value problems and with various imposed restrictions, are used in many research problems with engineering applications. The description of these phenomena depends on the advances made in mathematics and in mathematical modeling with solutions in generalized function spaces capable of describing control methods for non-smooth dynamical systems and/or with non-differentiable terms. The mathematical theory of such processes and phenomena, including dynamic models, algorithms, controller design, and mathematical methods, are important for understanding and describing problems that arise in natural phenomena. The analysis and design of control systems is based on mathematical control theory. Control theory has two branches: one is artificial classification, based on the idea that there exists a good model of the object/process to be controlled, with the goal of optimizing its behavior. In cases such as this, where the classical calculus of variations and other areas of optimization theory are needed, the result will be a pre-programmed plan (trajectory). The second branch of control theory is influenced by the imposed constraints and the uncertainty about the model or the environment. In this case, feedback is used to correct deviations from the desired behavior using sensors and actuators; that is, feedback compensates for errors from the pre-calculated trajectory.

This Special Issue welcomes contributions involving cross-border problems in mathematics, physics, and engineering.

Prof. Dr. Nicolae Pop
Guest Editor

Dr. Sina Sadighi
Guest Editor Assistant

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