Simultaneous stabilization of single-input nonlinear systems with bounded controls
In this paper, the simultaneous stabilization of single-input nonlinear systems with bounded controls is considered. Using the Lyapunov approach and based on Lin–Sontag’s formula for bounded and continuous stabilizers for affine nonlinear systems, a constructive universal formula for the bounded sim...
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| Veröffentlicht in: | International journal of dynamics and control 2021-06, Vol.9 (2), p.550-556 |
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| container_title | International journal of dynamics and control |
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| creator | Iggidr, Abderrahman Oumoun, Mohamed |
| description | In this paper, the simultaneous stabilization of single-input nonlinear systems with bounded controls is considered. Using the Lyapunov approach and based on Lin–Sontag’s formula for bounded and continuous stabilizers for affine nonlinear systems, a constructive universal formula for the bounded simultaneous stabilization of single-input nonlinear systems is presented explicitly. An illustrative example is given to demonstrate the validity of the method. |
| doi_str_mv | 10.1007/s40435-020-00658-3 |
| format | Article |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Automatic Complexity Control Control and Systems Theory Dynamical Systems Engineering Engineering Sciences Mathematics Nonlinear systems Optimization and Control Stabilization Vibration |
| title | Simultaneous stabilization of single-input nonlinear systems with bounded controls |
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