• DocumentCode
    1017757
  • Title

    Systems with counterclockwise input-output dynamics

  • Author

    Angeli, David

  • Author_Institution
    Dipt. Sistemi e Informatica, Univ. di Firenze, Italy
  • Volume
    51
  • Issue
    7
  • fYear
    2006
  • fDate
    7/1/2006 12:00:00 AM
  • Firstpage
    1130
  • Lastpage
    1143
  • Abstract
    A new input-output property is proposed, suitable for the study of positive feedback interconnections both in a linear and nonlinear set-up. Convergence results and small-gain theorems are proved as well as criteria for the application of the property to the study of multistability. Lyapunov-like conditions and dissipation inequalities for its detection are also provided.
  • Keywords
    Lyapunov methods; convergence; feedback; input-output stability; interconnected systems; Lyapunov-like conditions; convergence analysis; counterclockwise input-output dynamics; dissipation inequalities; multistability; positive feedback interconnections; Centralized control; Control system synthesis; Convergence; Feedback loop; Frequency domain analysis; Linear systems; Negative feedback; Nonlinear systems; Stability; Steady-state; Input–output stability; Lyapunov systems; lossy systems; positive real functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2006.878747
  • Filename
    1652873