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Enhancing automic and optimal control systems through graphical structures
Sumati Kumari Panda1, Ilyas Khan2, Vijayakumar Velusamy3
1Department of Mathematics, GMR Institute of Technology, Rajam, Andhra Pradesh, 532127, India. mumy143143143@gmail.com.
Abstract:
The concept of graphical structures of extended suprametric space is introduced in this study and applied to supra-graphical contractive mapping. A recursive algorithm in connection with graphical notions can be employed in adaptive systems to construct a desired output function iteratively after specific conditions are first defined to ensure the existence of the solution by use of supra-graphical contractive mapping. After analyzing the historical context and relevant outcomes, we discuss the usage of graphical structures and supra-graphical contractive mappings in the conceptual frameworks of adaptive control and optimal control systems.
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