Title | ||
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Limiting Zeroing-Output Solutions And Weak Detectability In Hybrid Nonlinear Time-Varying Systems |
Abstract | ||
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Checking the uniform attractivity of solutions of a time-varying dynamic system is challenging. Uniform attractivity concerns the limiting behaviors of trajectories, which in the context of hybrid nonlinear time-varying (NLTV) systems, is non-trivial due to the complexity of the system trajectories and the limits that are involved. This paper analyzes a specific class of limiting behaviors of hybrid NLTV systems ranging from limiting zeroing-output hybrid (ZOH) solutions to limiting ZOH systems. For these limiting behaviors, it is possible to define a novel notion of weak detectability (WD). It is shown that a particular solution set of a hybrid NLTV system is uniformly, globally, asymptotically stable provided it has the WD property, assuming that uniform global stability (UGS) and a bounded energy condition relative to two output maps hold as well. A simple example is used to illustrate the effectiveness of this result. |
Year | DOI | Venue |
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2020 | 10.23919/ECC51009.2020.9143944 | 2020 EUROPEAN CONTROL CONFERENCE (ECC 2020) |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ti-chung Lee | 1 | 247 | 29.18 |
Ying Tan | 2 | 737 | 86.47 |
Iven Mareels | 3 | 884 | 129.28 |