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Extremum seeking control: a systematic design framework
- Title
- Extremum seeking control: a systematic design framework
- Funding
- ARC | Discovery Projects
- Contract (GA) number
- DP120101144
- Start Date
- 2012/01/01
- End Date
- 2014/12/31
- Open Access mandate
- no
- Organizations
- -
- More information
- http://purl.org/au-research/grants/arc/DP120101144
-
Optimization Methods on Riemannian Manifolds via Extremum Seeking Algorithms
Taringoo, Farzin; Dower, Peter M.; Nesic, Dragan; Tan, Ying (2014)
Projects: ARC | Extremum seeking control: a systematic design framework (DP120101144)This paper formulates the problem of Extremum Seeking for optimization of cost functions defined on Riemannian manifolds. We extend the conventional extremum seeking algorithms for optimization problems in Euclidean spaces to optimization of cost functions defined on smooth Riemannian manifolds. This problem falls within the category of online optimization methods. We introduce the notion of geodesic dithers which is a perturbation of the optimizing trajectory in the tangent bundle of the amb...A Local Characterization of Lyapunov Functions and Robust Stability of Perturbed Systems on Riemannian Manifolds
Taringoo, Farzin; Dower, Peter M.; Nešić, Dragan; Tan, Ying (2013)
Projects: ARC | Extremum seeking control: a systematic design framework (DP120101144)This paper proposes several Converse Lyapunov Theorems for nonlinear dynamical systems defined on smooth connected Riemannian manifolds and characterizes properties of corresponding Lyapunov functions in a normal neighborhood of an equilibrium. We extend the methods of constructing of Lyapunov functions for ordinary differential equations on $\mathds{R}^{n}$ to dynamical systems defined on Riemannian manifolds by employing the differential geometry. By employing the derived properties of Lyap... -
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