Nakamura, Hisakazu (Nara Inst. of Science and Tech.), Yamashita, Yuh (Hokkaido Univ.), Nishitani, Hirokazu (Nara Inst. of Science and Tech.)

Existence of Homogeneous Eigenvalues for Homogeneous Systems

Scheduled for presentation during the Regular Session "Nonlinear Control III" (FrP10), Friday, July 28, 2006, 15:20−15:45, Room 103

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 23, 2024

Abstract

This paper focuses on the problem of existence of homogeneous eigenvalues for homogeneous systems. We show that the homogeneous system of odd degree must have an homogeneous eigenvalue. Next, we propose a computation method for homogeneous eigenvalues. Finally, we show the condition of existence of homogeneous eigenvalues of second-order homogeneous systems.