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The Design of Dynamical Inquiring Systems: A Certainty Equivalent Formalization

In: Sensors: Theory, Algorithms, and Applications

Author

Listed:
  • Laura Giacomo

    (Sapienza Universita’ di Roma)

  • Giacomo Patrizi

    (Sapienza Universita’ di Roma)

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.

Suggested Citation

  • Laura Giacomo & Giacomo Patrizi, 2012. "The Design of Dynamical Inquiring Systems: A Certainty Equivalent Formalization," Springer Optimization and Its Applications, in: Vladimir L. L. Boginski & Clayton W. W. Commander & Panos M. M. Pardalos & Yinyu Ye (ed.), Sensors: Theory, Algorithms, and Applications, pages 119-141, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-88619-0_6
    DOI: 10.1007/978-0-387-88619-0_6
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