Author:
Panda Sumati Kumari,Khan Ilyas,Velusamy Vijayakumar,Niazai Shafiullah
Abstract
AbstractThe 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.
Publisher
Springer Science and Business Media LLC
Reference24 articles.
1. Garrard, W. L. & Jordan, J. M. Design of nonlinear automatic flight control systems. Automatica 13(5), 497–505 (1977).
2. Ling, C. K. Quasi-optimum design of an aircraft landing control system. J. Aircraft 7, 38–43 (1970).
3. Al’brekht, E. G. The existence of an optimal Lyapunov function and of a continuous optimal controller for one problem in the analytical design of controllers. Differential’nye Uravneniya 1(10), 1301–1311 (1965).
4. Ping, Lu. Tracking control of nonlinear systems with bounded controls and control rates. IFAC Proc. Vol. 29(1), 2307–2312 (1996).
5. Ping, Lu. Constrained tracking control of nonlinear systems. Syst. Control Lett. 27(5), 305–314 (1996).
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