172. Fixed-time convergent second-order time-varying dynamical systems
Invited abstract in session MD-9: Generalized convexity and monotonicity 3, stream Generalized convexity and monotonicity.
Monday, 16:30-18:30Room: B100/8013
Authors (first author is the speaker)
| 1. | Lien Nguyen
|
| RMIT University |
Abstract
Addressing optimization problems using the finite-time/fixed-time stability properties of dynamical systems has received increasing interest. In this work, we propose new fixed-time second-order time-varying dynamical systems. We derive a sufficient condition for the existence and uniqueness of solutions to a general ordinary differential equation (ODE) and present a rigorous proof establishing the well-posedness of our proposed algorithms, addressing a significant gap in the literature. We then employ the proposed dynamical systems to solve nonsmooth additive composite optimization problems.
Keywords
- First-order optimization
- Non-smooth optimization
- Large-scale optimization
Status: accepted
Back to the list of papers