A known result in the stability theory of stochastic systems with nonlinear Lipschitz-bounded noise intensity states that the robust stability radius of such a stochastic system is equal to the inverse of the H 2 norm of its 'noise-to-output' transfer function. This paper extends this result to the
Robust Stabilization for Nonlinear Differential Inclusion Systems Subject to Disturbances
β Scribed by Xiu-Shan CAI
- Publisher
- Elsevier
- Year
- 2010
- Weight
- 201 KB
- Volume
- 36
- Category
- Article
- ISSN
- 1874-1029
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β¦ Synopsis
The stabilization problem of nonlinear differential inclusion (NDI) systems with disturbances is dealt with in this paper. First, based on the convex hull Lyapunov function (CHLF) approach, a continuous state feedback law is designed, which can globally asymptotically stabilize this kind of systems without disturbances. Second, by the state feedback, the reachable set under two classes of bounded disturbances is achieved simultaneously. Finally, a numerical example is used to illustrate the effectiveness of the proposed design technique.
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