Affiliation:
1. School of Computer Science and Mathematics Fujian University of Technology Fuzhou China
2. College of Mechanical and Electrical Engineering Fujian Agriculture and Forestry University Fuzhou China
3. Fujian Provincial Key Laboratory of Big Data Mining and Application Fujian University of Technology Fuzhou China
Abstract
AbstractFor a continuous‐time switched linear system, the spectral abscissa, that is, the maximum Lyapunov exponent, essentially characterizes the worst‐case asymptotic divergence or convergence rate under arbitrary switching. In this study, based on the
generalized coordinate transformation method, a computational algorithm is proposed to get the performance estimation of the switched linear system under arbitrary switching by estimating the spectral abscissa of the system. Simulation examples are presented to illustrate the effectiveness of the proposed scheme, which gives a better estimation of the spectral abscissa than the existing results.
Funder
Natural Science Foundation of Fujian Province