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The Design of Dynamical Inquiring Systems: A Certainty Equivalent Formalization

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Book cover Sensors: Theory, Algorithms, and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 61))

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Abstract

Dynamical systems include measuring sensor inputs of phenomena to yield accurate predictions of the evolving sensor outputs or to determine optimal control management policies based on sensor data. The input and output sets of the system may be generalized and transformed with respect to the sets of sensors available and formal deductive methods and chaos theory may be formulated to obtain Dynamical Inquiring Systems over a horizon to yield solutions which will be precise and be certainty equivalent to the future results of the phenomenon.The aim of this chapter is to present a formalization of Mathematical Systems Theory to demonstrate the theoretical basis of nonlinear dynamical chaotic systems solved by simultaneous estimation and optimal control processes and to present accurate predictions based on generalized sensor data of many forms both in input and output such as dynamic malfunctioning of systems including engineering, medical, economic, and environmental inquiring systems.

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Authors and Affiliations

  1. Dipartimento di Statistica, Sapienza Universita’ di Roma, Roma, Italy

    Laura Di Giacomo & Giacomo Patrizi

Authors
  1. Laura Di Giacomo
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  2. Giacomo Patrizi
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Correspondence to Giacomo Patrizi .

Editor information

Editors and Affiliations

  1. Department of Industrial and Systems Eng, University of Florida, Weil Hall 303, Gainesville, 32611, Florida, 32611, USA

    Vladimir L. L. Boginski

  2. Munitions Directorate, Air Force Research Laboratory, Eglin Air Force Base, West Eglin Blvd 101, Eglin AFB, 32542, Florida, 32542, USA

    Clayton W. W. Commander

  3. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, 94305, USA

    Panos M. M. Pardalos

  4. School of Engineering, Department of Management Science and Eng, Stanford University, Via Ortega 475, Stanford, 94305, California, USA

    Yinyu Ye

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Di Giacomo, L., Patrizi, G. (2012). The Design of Dynamical Inquiring Systems: A Certainty Equivalent Formalization. In: Boginski, V.L., Commander, C.W., Pardalos, P.M., Ye, Y. (eds) Sensors: Theory, Algorithms, and Applications. Springer Optimization and Its Applications(), vol 61. Springer, New York, NY. https://doi.org/10.1007/978-0-387-88619-0_6

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