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Piecewise polynomial Lyapunov functions for global asymptotic stability of saturated uncertain systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Garulli, Andrea Alfio Zaccarian, Luca |
| Copyright Year | 2011 |
| Abstract | In this paper we provide sufficient conditions for global asymptotic and global exponential stability of linear systems subject to saturations and/or deadzones. These conditions rely on piecewise polynomial Lyapunov functions and are formulated in terms of linear matrix inequalities, by using sum-of-squares relaxations. It is also shown that the proposed approach can be extended to deal with robust stability of saturated systems affected by structured parametric uncertainties. Example studies are presented to illustrate the reduced conservativeness of the proposed conditions as compared to existing results. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac11-proceedings/data/html/papers/1672.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Asymptote Convex optimization Linear matrix inequality Linear system Lyapunov fractal Mathematical optimization Nonlinear system Numerical method Polynomial Saturated Dosing Unit exponential |
| Content Type | Text |
| Resource Type | Article |
