Extension of diagonal stability and stabilization for continuous-time fractional positive linear systems

DOI10.1016/j.laa.2017.06.018zbMath1376.34013OpenAlexW2626596024MaRDI QIDQ2013204

Wenchao Huang, Xuefeng Zhang

Publication date: 3 August 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.06.018

zbMATH Keywords

linear matrix inequalitiesMetzler matrixdiagonal stabilityHurwitz matrixfractional positive linear system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Cites Work

• Diagonal Riccati stability and positive time-delay systems
• Selected problems of fractional systems theory.
• Pseudo-state feedback stabilization of commensurate fractional order systems
• On the simultaneous diagonal stability of a pair of positive linear systems
• An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• LMI stability conditions for fractional order systems
• A positive linear discrete-time model of capacity planning and its controllability properties
• LMI approach to linear positive system analysis and synthesis
• Stability properties for generalized fractional differential systems
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Hurwitz Stability of Metzler Matrices
• Diagonal Stability on Cactus Graphs and Application to Network Stability Analysis
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