Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772989 | Linear Algebra and its Applications | 2017 | 18 Pages |
Abstract
This paper considers an extension of diagonal stability for continuous fractional positive linear systems (FPLS) with the fractional order 0<α<1. Based on diagonal stability of Metzler matrix, an extension that involves the combination of a diagonal positive definite matrix and a skew-symmetric anti-diagonal matrix related a Hurwitz and Metzler matrix is established. Combining this extension and the linear matrix inequalities (LMIs) criteria of stability for fractional order systems (FOS), a necessary and sufficient condition for extension diagonal stability of FPLS is presented. A state feedback controller is given, which ensures the stabilization and positivity of the closed-loop systems. Numerical examples are provided to demonstrate the effectiveness and applicability of the proposed methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xuefeng Zhang, Wenchao Huang,