Passivity of Control Systems on Compact Manifolds

DOI Web Site 4 References
  • Nishida Gou
    The Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University

Bibliographic Information

Other Title
  • コンパクト多様体上の制御系の受動性
  • コンパクト タヨウタイ ジョウ ノ セイギョケイ ノ ジュドウセイ

Search this article

Abstract

This paper derives a passivity defined in the neighborhood of a non-degenerate critical point of energy functions of systems on compact manifolds from which analytical solutions cannot be always derived, e.g., systems of nonlinear partial differential equations, but the energy can be regarded as a Morse function. We first show that the change in energy of the systems defined on a closed domain in the neighborhood can be transformed into an energy flow defined on a boundary of the domain in terms of the boundary integrability of Stokes theorem. Next, this boundary power balance is detailed by using the index of the critical points; therefore, it can be considered as the extended passivity.<br>

Journal

References(4)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top