Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach
2017 ◽
Vol 2017
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pp. 1-11
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Inverse problems have applications in many branches of science and engineering. In this paper we propose a new approach to solving inverse problems which is based on using concepts from feedback control systems to determine the inverse of highly nonlinear, discontinuous, and ill-conditioned input-output relationships. The method uses elements from least squares solutions that are formed within a control loop. The stability and convergence of the inverse solution are established. Several examples demonstrate the applicability of the proposed method.
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1994 ◽
Vol 25
(7)
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pp. 1127-1144
Keyword(s):
1987 ◽
Vol 10
(3)
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pp. 273-282
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1988 ◽
Vol 325
(4)
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pp. 485-503
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1960 ◽
Vol 5
(4)
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pp. 314-320
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1974 ◽
Vol 298
(1)
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pp. 45-58
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