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Record Details

Record 56 of 10720
A piecewise linear approximation scheme for hereditary optimal control problems
Author and Affiliation:
Cliff, E. M.(Virginia Polytechnic Inst. and State Univ., Blacksburg, VA, United States)
Burns, J. A.(Virginia Polytechnic Institute and State University, Blacksburg, Va., United States)
Abstract: An approximation scheme based on 'piecewise linear' approximations of L2 spaces is employed to formulate a numerical method for solving quadratic optimal control problems governed by linear retarded functional differential equations. This piecewise linear method is an extension of the so called averaging technique. It is shown that the Riccati equation for the linear approximation is solved by simple transformation of the averaging solution. Thus, the computational requirements are essentially the same. Numerical results are given.
Publication Date: Jan 01, 1977
Document ID:
19780039978
(Acquired Dec 01, 1995)
Accession Number: 78A23887
Subject Category: CYBERNETICS
Document Type: Conference Proceedings
Publication Information: (SEE A78-23851 08-63)
Publisher Information: United States
Meeting Information: Joint Automatic Control Conference; June 22-24, 1977; San Francisco, CA
Contract/Grant/Task Num: NSF MPS-75-06993; NSG-1015
Financial Sponsor: NASA; United States
Organization Source: Virginia Polytechnic Inst. and State Univ.; Blacksburg, VA, United States
Description: 7p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: APPROXIMATION; LINEARIZATION; OPTIMAL CONTROL; QUADRATIC EQUATIONS; RICCATI EQUATION; CONTROL THEORY; FEEDBACK CONTROL; FUNCTIONAL ANALYSIS; OPERATORS (MATHEMATICS); TRANSFORMATIONS (MATHEMATICS)
Imprint And Other Notes: In: Joint Automatic Control Conference, San Francisco, Calif., June 22-24, 1977, Proceedings. Volume 2. (A78-23851 08-63) New York, Institute of Electrical and Electronics Engineers, Inc., 1977, p. 867-873.
Availability Source: Other Sources
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