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Stability criteria for neutral delay differential-algebraic equations with many delays
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sun, Leping |
| Copyright Year | 2019 |
| Abstract | In this paper the asymptotic stability is concerned for a class of neutral delay differential-algebraic equations (NDDAEs). We will present two criteria by evaluating a corresponding harmonic function on the boundary of a torus region. Stability regions are also presented so as to locate all possible unstable characteristic roots of NDDAEs. As we know, these roots will make bad numerical simulations. Our criteria help find and avoid them. Numerical examples are shown to check our criteria. |
| Starting Page | 1 |
| Ending Page | 18 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1186/s13662-019-2265-3 |
| Volume Number | 2019 |
| Alternate Webpage(s) | https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-019-2265-3 |
| Alternate Webpage(s) | https://doi.org/10.1186/s13662-019-2265-3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |