2197. Invariance conditions for a class of set-valued dynamic systems and applications
Invited abstract in session TA-4: Optimality Conditions and Optimal Control, stream Continuous and Global Optimization.
Thursday, 8:45-10:15Room: H6
Authors (first author is the speaker)
| 1. | Sigifredo Laengle
|
| Faculty of Economics and Management, University of Chile | |
| 2. | Tomás Laengle Aliaga
|
| Faculty of Physical and Mathematical Sciences, University of Chile |
Abstract
One of the fundamental problems in viability theory is determining the initial states of a dynamic system for which at all solution evolutions remain confined within a prescribed constraint set (the invariance problem). This problem is highly relevant to real-world applications, particularly management and control, where high-dimensional dynamical models frequently represent such systems. To solve those practical problems, the extant literature documents substantial challenges when dealing with systems of dimension greater than four, except in affine and convex problems with bounded norms. In response to this limitation, we comprehensively examined current approaches and proposed conditions for a class of set-valued operators. Nonetheless, as many dynamical systems fail to satisfy our conditions, a critical direction for future work involves extending this framework to encompass more general classes of systems.
Keywords
- Convex Optimization
- Dynamical Systems
- System Dynamics and Theory
Status: accepted
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