Inverse Optimality

  • Randy A. Freeman
  • Petar Kokotović
Part of the Modern Birkhäuser Classics book series (MBC)


We have just established that the existence of a robust control Lyapunov function (rclf) is equivalent to robust stabilizability. This result lays the foundation for the design methods to be developed in the remainder of this book. The design tasks facing us are:
  • the task of constructing an rclf for a given system, and,

  • the task of constructing a stabilizing feedback once an rclf is known.

Methods for constructing rclf’s will be presented in Chapter 5. In this chapter we address the second task, which is much easier than the first.


Differential Game Admissible Control Control Constraint Inverse Optimality Cost Functional 
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Copyright information

© Birkhäuser Boston 2008

Authors and Affiliations

  • Randy A. Freeman
    • 1
  • Petar Kokotović
    • 2
  1. 1.Department of Electrical and Computer EngineeringNorthwestern UniversityEvanstonUSA
  2. 2.Department of Electrical and Computer EngineeringUniversity of CaliforniaSanta BarbaraUSA

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