Relation between Exponential Stability and Input-to-State Stability of Time-Delay Systems
The main contribution of this paper is to establish a link between the exponential stability of an unforced system and the input-to-state stability (ISS) via the Lyapunov-Krasovskii methodology. A new theorem is provided, which proves that an unforced system whose trivial solution is exponentially s...
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| creator | Yeganefar, N. Dambrine, M. Yeganefar, N. |
| description | The main contribution of this paper is to establish a link between the exponential stability of an unforced system and the input-to-state stability (ISS) via the Lyapunov-Krasovskii methodology. A new theorem is provided, which proves that an unforced system whose trivial solution is exponentially stable is input-to-state stable if submitted to a perturbation which can be of an arbitrary size. |
| doi_str_mv | 10.1109/ACC.2007.4282609 |
| format | Conference Proceeding |
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| identifier | ISSN: 0743-1619 |
| ispartof | 2007 American Control Conference, 2007, p.4919-4920 |
| issn | 0743-1619 2378-5861 |
| language | eng |
| recordid | cdi_ieee_primary_4282609 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Cities and towns Communication system control Control systems Equations Exponential Stability Input-to-State Stability Lyapunov-Krasovskii Theorem Manipulators Mathematics Networked control systems Nonlinear Time-Delay Systems Optimization and Control Robot control Robot sensing systems Stability |
| title | Relation between Exponential Stability and Input-to-State Stability of Time-Delay Systems |
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