Linear Quadratic Pursuit–Evasion Games on Time Scales
In this paper, we unify and extend the linear quadratic pursuit–evasion games to dynamic equations on time scales. A mixed strategy for a single pursuer and evader is studied in two settings. In the open-loop setting, the corresponding controls are expressed in terms of a zero-input difference. In the closed-loop setting, the corresponding controls require a mixing feedback term when rewriting the system in extended state form. Finally, we offer a numerical simulation.
Authors
- Richard Williams (ORCID: https://orcid.org/0000-0001-9974-8307)
- Nick Wintz (ORCID: https://orcid.org/0000-0001-9015-2865)
- Davis Funk
Institutions
- University of California, Los Angeles (US)
- Radford University (US)
- Marshall University (US)
Publication Details
- Journal
- Mathematics
- Published
- 2025-10-20
- DOI
- https://doi.org/10.3390/math13203337
- Primary Topic
- Guidance and Control Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- National Aeronautics and Space Administration
- West Virginia Space Grant Consortium
- Nuclear Safety and Security Commission