Diagonal Stability on Cactus Graphs and Application to Network Stability Analysis

DOI10.1109/TAC.2011.2125130zbMath1368.93458OpenAlexW2066838590MaRDI QIDQ5347912

Arcak, Murat

Publication date: 25 August 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2011.2125130

Mathematics Subject Classification ID

Applications of graph theory (05C90) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Decentralized systems (93A14) Miscellaneous inequalities involving matrices (15A45) Structural characterization of families of graphs (05C75)

Related Items (7)

Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices ⋮ Graph-Theoretic Stability Conditions for Metzler Matrices and Monotone Systems ⋮ Extension of diagonal stability and stabilization for continuous-time fractional positive linear systems ⋮ Stability of matrix polytopes with a dominant vertex and implications for system dynamics ⋮ A linear time algorithm for weighted \(k\)-fair domination problem in cactus graphs ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ Stability and stabilisation of a class of networked dynamic systems

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