35. Lyapunov functions and control for differential inclusions by optimization
Invited abstract in session MB-6: Nonsmooth optimization: from continuous to discrete Part I, stream Nonsmooth and nonconvex optimization.
Monday, 10:30-12:30Room: B100/7013
Authors (first author is the speaker)
| 1. | SIGURDUR HAFSTEIN
|
| Mathematics, University of Iceland |
Abstract
The stability of equilibria in dynamical systems can be characterized by the existence of Lyapunov functions, which are real-valued functions from the state-space that are decreasing along trajectories. Lyapunov functions can be constructed using linear programming or semidefinite optimization for various kinds of dynamical systems, including systems defined by ODEs. We will discuss a method using linear programming and how it can be extended for differential inclusions and systems with control, with leads to MIP problems.
Keywords
- Applications of continuous optimization
- Linear and nonlinear optimization
- Conic and semidefinite optimization
Status: accepted
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