Graph-Theoretic Stability Conditions for Metzler Matrices and Monotone Systems
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Publication:5157375
DOI10.1137/20M131802XzbMath1472.93143arXiv1905.05868OpenAlexW3203992953MaRDI QIDQ5157375
Xiaoming Duan, Bullo, Francesco, Saber Jafarpour
Publication date: 18 October 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05868
Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive control/observation systems (93C28)
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Cites Work
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- Stability of epidemic models over directed graphs: A positive systems approach
- Sign properties of Metzler matrices with applications
- Scalable control of positive systems
- Stability and positivity of equilibria for subhomogeneous cooperative systems
- On characterizations of the input-to-state stability property
- Manifolds, tensor analysis, and applications.
- On the differential equations of species in competition
- Compartmental modeling with networks
- Small-gain theorem for ISS systems and applications
- A contractive approach to separable Lyapunov functions for monotone systems
- Stability of Positive Switched Linear Systems: Weak Excitation and Robustness to Time-Varying Delay
- Analysis and Synthesis of Interconnected Positive Systems
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- Matrices, Digraphs, and Determinants
- Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
- Necessary and sufficient conditions for delay-independent stability of linear autonomous systems
- Stability properties of equilibria of classes of cooperative systems
- A Note on Recursive Schur Complements, Block Hurwitz Stability of Metzler Matrices, and Related Results
- Smooth stabilization implies coprime factorization
- Hurwitz Stability of Metzler Matrices
- Nonlinear Control of Dynamic Networks
- Positivity-Preserving Consensus of Homogeneous Multiagent Systems
- Monotone control systems
- Diagonal Stability on Cactus Graphs and Application to Network Stability Analysis
- Co-Positive Lyapunov Functions for the Stabilization of Positive Switched Systems
- On the -Boundedness of Solutions of Nonlinear Functional Equations
- Hicksian Stability and Walras' Law
