System-Theoretical Description of Open Physical Processes

  • Panos M. Pardalos
  • Vitaliy Yatsenko
Part of the Springer Optimization and Its Applications book series (SOIA, volume 11)

One of the difficulties in designing controllers for complex physical systems is the problem of modeling. Very often, we have mathematical models that include highly nonlinear differential equations, for which control design techniques are a complicated problem. An example is given by the formation flight; accurate models are known for fluid dynamics, and for aircraft motion, that can be accurately simulated together. However, the equations of motion consist of partial and ordinary differential equations coupled via their boundary conditions, a model that offers little to the control designer. It is therefore a problem of considerable interest in developing explicit low-order models; once a control design has been constructed using such a low-order model, it can be tested by comparing with a full high-order simulation (Hunt, Su, and Meyer, 1983).

Bilinear models (BM) can approximate a wide class of nonlinear systems. They are used to model nonlinear processes in signal and image...


Vector Field Universal Model Nonlinear Control System Bilinear System Inverse System 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Panos M. Pardalos
    • 1
  • Vitaliy Yatsenko
    • 2
  1. 1.Department of Industrial and SystemsUniversity of FloridaGainesvilleU.S.A.
  2. 2.Institute of Space ResearchNASUKyivUkraine

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