Rational Lyapunov functions for estimating and controlling the robust domain of attraction
β Scribed by Chesi, Graziano
- Book ID
- 120031233
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 497 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0005-1098
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π SIMILAR VOLUMES
This paper deals with the estimation of a robust domain of attraction for nonlinear systems with structured uncertainties. For this goal a piecewise constant parameter-dependent Lyapunov function is used. This type of a Lyapunov function is based on dividing the uncertainty bounding set into a "nite
A new concept known as a maximal Lyapunov function, based on rational Lyapunov functions rather than polynominals, can compute the domain of attraction exactly using a new iterative procedure for estimating the domain of attraction.
The well-known Lyapunov direct method provides precise and rigorous theoretical backgrounds for stability analysis of nonlinear systems. However, incorporating damping e!ects into accurate estimates of the domain of attraction has proved di$cult, which is pointed as a minor but crucial drawback. Thi