On ISS With Respect to Average Value of Disturbances: A Time-Delay Approach
For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equatio...
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| Veröffentlicht in: | IEEE transactions on automatic control 2024-05, Vol.69 (5), p.3434-3440 |
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| container_title | IEEE transactions on automatic control |
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| creator | Efimov, Denis Fridman, Emilia |
| description | For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems. |
| doi_str_mv | 10.1109/TAC.2023.3337696 |
| format | Article |
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| ispartof | IEEE transactions on automatic control, 2024-05, Vol.69 (5), p.3434-3440 |
| issn | 0018-9286 1558-2523 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Control systems Delay systems Differential equations Dynamic stability Dynamical systems Electrical engineering Gain measurement Nonlinear systems Perturbation methods Robustness Stability analysis Vibrations |
| title | On ISS With Respect to Average Value of Disturbances: A Time-Delay Approach |
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