Abstract
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.
Original language | English |
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Pages (from-to) | 3434-3440 |
Number of pages | 7 |
Journal | IEEE Transactions on Automatic Control |
Volume | 69 |
Issue number | 5 |
DOIs | |
State | Published - 1 May 2024 |
Keywords
- Control systems
- delay systems
- stability analysis
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
- Control and Systems Engineering
- Computer Science Applications