Biological optimality: Comparison of generalized feasibility and optimality conditions for linear,error-minimizing systems |
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Authors: | V. V. Krishnan E. I. Jury L. Stark |
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Affiliation: | (1) Division of Engineering, San Francisco State University, 94132 San Francisco, CA, USA;(2) Department of Electrical Engineering and Computer Sciences, University of California, 94720 Berkeley, CA, USA;(3) Departments of Physiological Optics and Engineering Science, University of California, 94720 Berkeley, CA, USA |
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Abstract: | An attempt is made to compare the conditions for the general error-optimality of linear systems developed by Kalman with the conditions for feasibility of linear models of neuromuscular and physiological control systems. Models of three actual physiological systems are tested for both the above criteria. Theoretical analysis presented here shows that there are no simple relationships between the two sets of conditions. Analysis carried out on the physiological systems models suggests the need for a general set of conditions for other optimality criteria, such as time and energy minimization, similar to Kalman's condition for error minimization. |
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