- Title
- Componentwise bounds and invariant sets for switched systems with nonlinear delayed-state-dependent perturbations
- Creator
- Haimovich, Hernan; Seron, María M.
- Relation
- 1st Australian Control Conference, 2011 (AUCC 2011). Proceedings of the 1st Australian Control Conference 2011 (Melbourne 10-11 November, 2011) p. 20-25
- Relation
- http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6114306
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2011
- Description
- We present a novel method to compute componentwise transient bounds, componentwise ultimate bounds, and invariant regions for switched continuous-time linear systems with perturbation bounds that may depend nonlinearly on a delayed state. The main advantage of the method is its componentwise nature, i.e. the fact that it allows each component of the perturbation vector to have an independent bound and that the bounds and sets obtained are also given componentwise. This componentwise method does not employ a norm for bounding either the perturbation or state vectors, and thus may avoid conservativeness due to different perturbation or state vector components having substantially different bounds. We give conditions for the derived bounds to be of local or semiglobal nature. In addition, we deal with the case of perturbation bounds that depend linearly on a delayed state as a particular case of the nonlinear dependence for which the bounds derived are shown to be globally valid. A novel sufficient condition for practical stability is also provided.
- Subject
- continuous time systems; delays; linear systems; nonlinear control systems
- Identifier
- http://hdl.handle.net/1959.13/1039769
- Identifier
- uon:13698
- Identifier
- ISBN:9780858259874
- Rights
- © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
- Language
- eng
- Full Text
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