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Nonlinear Systems in Function Spaces and Applications in Biomedical Sciences, Control Theory, and Engineering [PDF]
Journal of Function Spaces, 2014 1 Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China 2Departamento de Matematica, Universidade Federal de Pernambuco, 50740-540 Recife, PE, Brazil 3 Department of Mathematics, Howard University, 2441 6th Street NW, Washington, DC 20059, USA 4Department of Mathematics, Morgan State University, 1700 E.
Jin Liang +4 more
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Spectral theory for the failure of linear control in a nonlinear stochastic system [PDF]
Physical Review E, 2002 We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result of a nonlinear instability. Nonlinear instabilities can occur in systems described by linearly stable but strongly nonnormal evolution operators. In spatially extended systems
Roman O. Grigoriev, Andreas Handel
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Investigation of the search method for the transformation functions of nonlinear systems to equivalent linear ones in geometric control theory [PDF]
Bulletin of the National Technical University "KhPI" A series of "Information and Modeling", 2018 One of the factors that prevent the expansion of the field of application of the geometric control theory (GСT) is the need to solve the system of partial differential equations with constraints in the form of differential inequalities for determining the transformation functions and connection between the variables of linear and nonlinear models.
В. Д. Дмитриенко +3 more
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Control theory for classes of nonlinear systems with application in insurance premium-reserve model [PDF]
, 2017 R. Li
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Discussion: “A Résumé of the Development and Literature of Nonlinear Control-System Theory” (Higgins, T. J., 1957, Trans. ASME, 79, pp. 445–449) [PDF]
, 1957 L. M. Vallese
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Methods for adaptive control of objects with variable parameters [PDF]
E3S Web of Conferences, 2021 The work uses the method of standard characteristic polynomials, based on the Lyapunov theorem on adaptive control systems, the theory of flexible and robust control, methods of the theory of nonlinear systems. When modeling an internal combustion engine,
Yakubov Maksadkhan, Jamalova Gulchekhra
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