Journal
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
Volume 31, Issue 4, Pages 925-943Publisher
SPRINGER INDIA
DOI: 10.1007/s12591-020-00545-5
Keywords
Differential game; Integral constraint; Hilbert space; Avoidance of contact; Pursuit
Categories
Funding
- King Mongkut's University of Technology Thonburi through the KMUTT 55th Anniversary Commemorative Fund
- Petchra Pra Jom Klao Doctoral Scholarship Academic for Ph.D. Program at KMUTT
- Theoretical and Computational Science (TaCS) Center under Computational and Applied Science for Smart Innovation (CLASSIC), Faculty of Science, KMUTT
- National Fundamental Research Grant Scheme FRGS of Malaysia [01-01-17-1921FR]
- Thailand Research Fund
- King Mongkut's University of Technology Thonburi under the TRF Research Scholar Grant [RSA6080047]
Ask authors/readers for more resources
In this paper, we investigate a differential game problem of multiple number of pursuers and a single evader with motions governed by a certain system of first-order differential equations. The problem is formulated in the Hilbert space l(2),with control functions of players subject to integral constraints. Avoidance of contact is guaranteed if the geometric position of the evader and that of any of the pursuers fails to coincide for all timet. On the other hand, pursuit is said to be completed if the geometric position of at least one of the pursuers coincides with that of the evader. We obtain sufficient conditions that guarantees avoidance of contact and construct evader's strategy. Moreover, we prove completion of pursuit subject to some sufficient conditions. Finally, we demonstrate our results with some illustrative examples.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available