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Finite-Time Stability for Differential Inclusions with Applications to Neural Networks
- Source :
- SIAM Journal on Control and Optimization. 58:2854-2870
- Publication Year :
- 2020
- Publisher :
- Society for Industrial & Applied Mathematics (SIAM), 2020.
-
Abstract
- The paper investigates sufficient conditions on a differential inclusion which guarantee that the origin is a finite time stable equilibrium, namely a weak local one, a weak global one or a strong local one. The analysis relies on the existence of a Lyapunov function. A new Gronwall type results are used to estimate the settling time. An example of a neural network which is finite-time stable is given
- Subjects :
- Control and Optimization
Differential inclusion
Artificial neural network
Optimization and Control (math.OC)
Applied Mathematics
Gronwall's inequality
FOS: Mathematics
Stable equilibrium
Applied mathematics
Finite time
Mathematics - Optimization and Control
Stability (probability)
Mathematics
Subjects
Details
- ISSN :
- 10957138 and 03630129
- Volume :
- 58
- Database :
- OpenAIRE
- Journal :
- SIAM Journal on Control and Optimization
- Accession number :
- edsair.doi.dedup.....9d8ce8f4a3ea88f26b175ad6b81e3e57