Model Realizations and Reduction

  • Geir E. Dullerud
  • Fernando Paganini
Part of the Texts in Applied Mathematics book series (TAM, volume 36)


In this chapter we start our investigation of quantitative input and output properties of systems. To do this we will require the state space systems theory of Chapter 2 combined with the new viewpoint and framework gained in the preceding chapter. We first consider issues related to the relative controllability and observability of system states, and their relationships with the overall input-output characteristics of a system. We then turn to the important question of systematically finding reduced order approximations to systems. We will develop a powerful technique to accomplish this, and the operator perspective of the previous chapter will play a central role.


Transfer Function Model Reduction Hankel Operator Lyapunov Equation Minimal Realization 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Geir E. Dullerud
    • 1
  • Fernando Paganini
    • 2
  1. 1.Department of Mechanical and Industrial EngineeringUniversity of IllinoisUrbanaUSA
  2. 2.Department of Electrical EngineeringUniversity of CaliforniaLos AngelesUSA

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