Description:
Abstract
USC researchers propose a method to stabilize linear fractional-order systems using linear matrix inequalities. The approach addresses the challenge of stability in these systems and offers insights into mitigating epilepsy. The main contributions of this work include providing tractable conditions for the global asymptotic stability of discrete-time linear fractional-order systems and developing a framework to stabilize linear fractional-order dynamical networks. The validity of the approach can be verified by applying this mathematical formalism to a real-world dataset of an epileptic patient, demonstrating the potential of informing new treatments for epilepsy and other neurological diseases.
Benefit
- Provides insight into epilepsy mitigation
- Method for stabilizing linear fractional-order systems
Market Application
Epilepsy affects approximately 50 million people worldwide, with around 15 million patients unresponsive to medication. One hypothesis suggests that seizures occur due to brain instability linked to long-term memory dynamics. Linear fractional-order systems capture this phenomenon and offer potential insights into epilepsy treatment. However, further research is needed to explore stability conditions and practical analysis for designing fractional-order systems in epilepsy. Improved understanding of neuronal dynamics and critical transitions could lead to innovative approaches for addressing epilepsy and improving the quality of life for millions of patients.
Publications
Other
Stage of Development
- Mathematical proof detailed
- Validated in a real patient dataset
- Available for licensing