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A Converse Lyapunov Theorem and Input-to-State Stability Properties for Discrete-Time Nonlinear Systems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jiang, Zhong-Ping Wangy, Yuan |
| Copyright Year | 2007 |
| Abstract | In this work we study the input-to-state stability (iss) property for discrete-time nonlinear systems. We rst establish a converse Lyapunov theorem for robust global asymptotic stability in discrete-time. Then, it is shown that most iss results for continuous-time nonlinear systems in the current literature can be extended to the discrete-time case. Several equivalent characterizations of iss are introduced and two iss small-gain theorems are proved for nonlinear and interconnected discrete-time systems. ISS stabilizability is discussed and comparisons with the continuous-time case are made. As in the continuous time framework, where the notion iss found wide applications, we expect that this notion will provide a useful tool in areas related to stability and stabilization for nonlinear discrete time systems as well. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.fau.edu/wang/psfile/dt-iss.ps |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
