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Factorization and the synthesis of optimal feedback kernels for differential-delay systemsA combination of ideas from the theories of operator Riccati equations and Volterra factorizations leads to the derivation of a novel, relatively simple set of hyperbolic equations which characterize the optimal feedback kernel for the finite-time regulator problem for autonomous differential-delay systems. Analysis of these equations elucidates the underlying structure of the feedback kernel and leads to the development of fast and accurate numerical methods for its computation. Unlike traditional formulations based on the operator Riccati equation, the gain is characterized by means of classical solutions of the derived set of equations. This leads to the development of approximation schemes which are analogous to what has been accomplished for systems of ordinary differential equations with given initial conditions.
Document ID
Document Type
Conference Paper
Milman, Mark M. (Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Scheid, Robert E. (California Institute of Technology Jet Propulsion Laboratory, Pasadena, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1987
Subject Category
Meeting Information
IEEE Conference on Decision and Control(Los Angeles, CA)
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