Dynamics and Control Theory with Applications

Dear Colleagues,

In reality, especially in science and engineering, there are countless dynamic objects that are described by differential or difference equations and require automatic control, such as unstable dynamic objects. Such objects can be controlled either with the help of dynamic models (model-based design) or without them. In the first case, it is necessary to build mathematical models using the laws of physics, chemistry, biology, etc. (the first principal equations), or identification. Then, based on these models, either the known automatic control theory is used to control them, or a new theory is developed to create methods and systems mainly with feedback to control the models. The purpose of this is to apply the theory in practice. In the second case, control systems are tuned to an object without knowledge of its model by automatically tuning the controller, e.g., using reinforcement learning.

Topics include, but are not limited to, the following:

1. Building mathematical models of complex dynamic objects using the laws of physics, chemistry, biology, etc.;
2. Solving identification problems of dynamic objects to build adequate mathematical models suitable for the synthesis of control systems;
3. Developing theory with formulation of new control problems and proving theorems for synthesis and analysis of control systems solving these problems;
4. Developing cascade hierarchical control systems with different control laws at different control levels;
5. Developing theory and control systems with artificial intelligence, using neural networks and machine learning, in particular reinforcement learning;
6. Simulating synthesized control systems for dynamic objects on computers and in real time on test beds;
7. Developing digital twins that provide information flows in both directions between the control system in real space and the control system in virtual space;
8. Applying new control systems to real dynamic objects and obtaining new practical results.

Prof. Dr. Yurii Vladimirovich Mitrishkin
Dr. Nikolay M. Kartsev
Guest Editors

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