Mathematical Models, Optimization and Control in Dynamical Systems

Dear Colleagues,

The study of dynamical systems and the development of techniques to guarantee certain desired properties, such as regularity and stability, is indispensable to achieve important results in engineering, both theoretical and practical. In this sense, the following three aspects are essential: the mathematical modeling of the system, the application of optimization procedures and the synthesis of control methods.

The determination of mathematical models of dynamical systems is an ever-growing field, being important in several areas. Some examples are complex industrial processes, aerodynamics and the behavior of flight systems such as VANTs or high-speed aircrafts, diffusion coefficients in chemical processes, photovoltaic power systems and population models mainly used for virus and bacterial growth analysis, among others. Recently, more complex and representative models have been proposed, either from deterministic approaches or numerical methods, which encompass stochastic, nonlinear or time-varying dynamics.

With more complex models, more elaborate techniques are required to tackle them. Optimization and control methods are essential to guarantee the desired behavior of a dynamical system. Over the last decades, a plethora of methodologies have been proposed in this sense: optimization heuristics for identification of processes and generation of optimized controllers; estimation procedures for effects such as faults or pattern recognition; adaptive and nonlinear methods supported by optimal or suboptimal processes; robust and optimal control techniques with the minimization of norms; decision-based techniques, such as fuzzy inference systems or decision trees, applied to regulate or control the aimed systems; and machine learning or intelligent methods integrated with the control or analysis of complex dynamical systems. The present Special Issue aims to collect new contributions concerning aspects within the areas of mathematical modeling, optimization and/or control of dynamical systems.

Dr. Cristiano Marcos Agulhari
Guest Editor

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