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Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

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  • Mahmoud Tarokh

Abstract

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.

Suggested Citation

  • Mahmoud Tarokh, 2017. "Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:6843614
    DOI: 10.1155/2017/6843614
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