Dissipative Systems Theory

  • Arjan van der Schaft
Part of the Communications and Control Engineering book series (CCE)

Abstract

In this chapter we present a state space interpretation of the small gain and passivity approach of the previous chapter. Moreover, we will come to some kind of synthesis between the notions of stability of input-output maps treated in Chapter 1 on the one hand, and classical Lyapunov stability of state space systems on the other hand.

Keywords

Optimal Control Problem Stable Equilibrium Supply Rate Storage Function Lyapunov Stability Theory 
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Copyright information

© Springer-Verlag London 2000

Authors and Affiliations

  • Arjan van der Schaft
    • 1
  1. 1.Faculty of Mathematical SciencesUniversity of TwenteEnschedeThe Netherlands

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