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Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization

✍ Scribed by Maria Tzamtzi; John Tsinias

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
153 KB
Volume
38
Category
Article
ISSN
0167-6911

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✦ Synopsis

For a class of nonlinear systems having triangular structure, we provide explicit formulas for feedback controllers, that exhibit global stabilization. The global part of our analysis is mainly based on a version of Sontag's input-to-state-stability property, and constitutes a generalization of previous works of the second author.

πŸ“œ SIMILAR VOLUMES

An explicit formula of bounded feedback
An explicit formula of bounded feedback stabilizers for feedforward systems
✍ J. Tsinias; M.P. Tzamtzi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 183 KB

This work constitutes continuation of a recent result of the same authors, which provides an explicit formula for bounded feedback stabilizers for a wide class of triangular nonlinear systems. In the present paper the previous result is extended for nonlinear systems having feedforward structure and

Linear feedback stabilization of nonline
Linear feedback stabilization of nonlinear systems with an uncontrollable critical mode
✍ Jyun-Horng Fu; Eyad H. Abed πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 1010 KB

Stabilization of an equilibrium point of a nonlinear system by linear feedback is studied in two critical cases, corresponding to the presence of either a zero eigenvalue or a pair of pure imaginary eigenvalues for the linearized system. In each case, the critical eigenvalues are assumed uncontrolla