On stability for switched linear positive systems

DOI10.1016/j.mcm.2010.11.062zbMath1217.93149OpenAlexW2016953587MaRDI QIDQ552122

Lan Shu, Zhaohao Wang, Xiuyong Ding

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.11.062

zbMATH Keywords

stabilityswitched linear systemspositive linear systemscommon linear copositive Lyapunov functions

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Discrete version of topics in analysis (39A12) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability theory for difference equations (39A30)

Related Items

On diagonal common quadratic Lyapunov functions for sets of homogeneous cooperative systems ⋮ New stability and stabilization conditions of switched systems with mode-dependent average dwell time ⋮ Practical stability of switched homogeneous positive nonlinear systems: max-separable Lyapunov function method ⋮ Exponential stability of switched block triangular systems under arbitrary switching ⋮ Robust stability and robust stabilizability for periodically switched linear systems ⋮ Robust stability analysis of uncertain switched linear systems with unstable subsystems

Cites Work

• On linear co-positive Lyapunov functions for sets of linear positive systems
• On common linear copositive Lyapunov functions for pairs of stable positive linear systems
• Positive systems. Proceedings of the first multidisciplinary international symposium on positive systems: Theory and applications (POSTA 2003), Rome, Italy, August 28--30, 2003
• Analysis and design of AIMD congestion control algorithms in communication networks
• The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• On the Stability of Switched Positive Linear Systems
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• Positive 1D and 2D systems
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