Department of Electrical and Computer Engineering, Mercer University, Macon, GA 31207, United States of America
Alisa DeStefano
Department of Mathematics and Computer Science College of the Holy Cross, Worcester, MA 01610, United States of America
Magnus Egerstedt
Department of Electrical Engineering and Computer Science Samueli School of Engineering University of California, Irvine, CA 92697, United States of America
Clyde Martin
Department of Mathematics and Statistics Texas Tech University, Lubbock, TX 79430, United States of America; Corresponding author.
In this note we prove, under general conditions, that a class of swarms, based on the swarms of mating silkworm moths, are bounded and stable. Detailed proofs are given for systems with linear dynamics and the results can be generalized to any globally asymptotically stable system which is bounded-input bounded-output stable. In contrast to the classical theory of switched systems we will see that these systems are globally stable in the sense that the orbits are confined to a compact region.
