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Absolute stability, absolute stabilization and structured dissipativity

  • Ian R. Petersen
  • Valery A. Ugrinovskii
  • Andrey V. Savkin
Chapter
  • 623 Downloads
Part of the Communications and Control Engineering book series (CCE)

Abstract

In this chapter, we revisit the classical Lur’e-Postnikov approach to the stability of nonlinear control systems. The problems considered in this chapter include the problem of absolute stability and also its extensions such as the problem of absolute stabilization and the problem of structured dissipativity. As in previous chapters of this book, the approach taken here is to convert the problem under consideration into an equivalent H control problem. Such a conversion is accomplished by making use of the corresponding S-procedure theorem.

Keywords

Lyapunov Function Close Loop System Riccati Equation Supply Rate Uncertain System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 2000

Authors and Affiliations

  • Ian R. Petersen
    • 1
  • Valery A. Ugrinovskii
    • 1
  • Andrey V. Savkin
    • 2
  1. 1.School of Electrical EngineeringADFACanberraAustralia
  2. 2.Department of Electrical and Electronic EngineeringUniversity of Western AustraliaNedlandsAustralia

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