Abstract
In this paper we consider a delayed matrix exponential and use it to derive a representation of solutions to a linear nonsingular delay problem with permutable matrices. Also we present some sufficient conditions to guarantee that the trivial solution of such delay systems are exponentially stable. In addition using a delay Grammian matrix we present a criterion for a linear problem to be relatively controllable. Nonlinear problems are also discussed. Numerical examples are given to illustrate our theory.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 457-479 |
| Number of pages | 23 |
| Journal | Bulletin Of The Brazilian Mathematical Society |
| Volume | 50 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jun 2019 |
Keywords
- Delay systems
- Delayed exponential matrix
- Exponential stability
- Relative controllability
- Representation of solutions
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- You, ZL,Wang, JR,O'Regan, D
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