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Details van artikel 24 van 83 gevonden artikelen
| Titel: |
Contraction analysis of non-linear distributed systems |
| Auteur: |
Lohmiller, W. Slotine, J. -J. E. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 78 (2005) nr. 9 pagina's 678-688 |
| Jaar: |
2005-06-15 |
| Inhoud: |
Contraction theory is a comparatively recent dynamic analysis and non-linear control system design tool based on an exact differential analysis of convergence. This paper extends contraction theory to local and global stability analysis of important classes of non-linear distributed dynamics, such as convection-diffusion-reaction processes, Lagrangian and Hamilton-Jacobi dynamics, and optimal controllers and observers. By contrast with stability proofs based on energy dissipation, stability and convergence can be determined for energy-based systems excited by time-varying inputs. The Hamilton-Jacobi-Bellman controller and a similar optimal non-linear observer design are studied based on explicitly computable conditions on the convexity of the cost function. These stability conditions extend the well-known conditions on controllability and observability Grammians for linear time-varying systems, without requiring the unknown transition matrix of the underlying differential dynamics. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 24 van 83 gevonden artikelen
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