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On the dual of Lyapunov's second theorem

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Author

Summary, in English

A stability criterion for nonlinear systems is presented and can be viewed as a dual to Lyapunov's second theorem. The criterion has a physical interpretation in terms of the stationary density of a substance that is generated in all points of the state space and flows along the system trajectories. If the stationary density is finite everywhere except at a singularity in the origin, then the system is stable in the sense that almost all trajectories converge towards the origin

Publishing year

2000

Language

English

Pages

1186-1189

Publication/Series

Proceedings of the 2000 American Control Conference

Volume

2

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • state-space methods
  • stability criteria
  • phase space methods
  • duality (mathematics)
  • nonlinear control systems

Status

Published

ISBN/ISSN/Other

  • ISBN: 0-7803-5519-9