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Stability and stabilizability

  • Jerzy Zabczyk
Chapter
  • 74 Downloads
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

In this chapter stable linear systems are characterized in terms of associated characteristic polynomials and Lyapunov equations. A proof of the Routh theorem on stable polynomials is given as well as a complete description of completely stabilizable systems. Luenberger’s observer is introduced and used to illustrate the concept of detectability.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Jerzy Zabczyk
    • 1
  1. 1.Institute of MathematicsPolish Academy of SciencesWarsawPoland

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