L@#2@#-gain analysis of nonlinear systems and nonlinear state feedback Hl control

Arjan van der Schaft

    Research output: Contribution to journalArticleAcademicpeer-review

    1157 Citations (Scopus)
    216 Downloads (Pure)

    Abstract

    Previously obtained results on L2-gain analysis of smooth nonlinear systems are unified and extended using an approach based on Hamilton-Jacobi equations and inequalities, and their relation to invariant manifolds of an associated Hamiltonian vector field. On the basis of these results a nonlinear analog is obtained of the simplest part of a state-space approach to linear H∞ control, namely the state feedback H optimal control problem. Furthermore, the relation with H∞ control of the linearized system is dealt with
    Original languageUndefined
    Pages (from-to)770-784
    Number of pages0
    JournalIEEE transactions on automatic control
    Volume37
    Issue number6
    DOIs
    Publication statusPublished - 1992

    Keywords

    • IR-29970
    • METIS-140604

    Cite this