Finite-time stability for uncertain differential equations: a first investigation on a new class of multi-agent systems
| Autor: | N. Gossili, S. Marín Mejía, Stefania Tomasiello |
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| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Differential equation Process (engineering) Computer science Settling time Multi-agent system Stability (learning theory) Computational intelligence Context (language use) Uncertainty theory 02 engineering and technology Theoretical Computer Science 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Geometry and Topology Software |
| Zdroj: | Soft Computing. 24:3275-3284 |
| ISSN: | 1433-7479 1432-7643 |
| DOI: | 10.1007/s00500-019-04086-0 |
| Popis: | In this paper, we discuss a new kind of stability, that is, finite-time stability, for uncertain differential equations, by formalizing some properties. As a possible application, we define a new class of uncertain multi-agent systems, according to the Liu’s uncertainty theory, as a counterpart of stochastic multi-agent systems. We formalize the governing equations, driven by canonical process, which is a type of uncertain process with stationary and independent increments. The concept of finite-time consensus in the context of uncertainty theory is consequently derived. A numerical procedure to estimate the settling time is proposed. The case with proportional delay was also considered. |
| Databáze: | OpenAIRE |
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