Stability analysis of interconnected systems with possibly unstable subsystems

DOI10.1016/0167-6911(83)90057-9zbMath0511.93051OpenAlexW2083488183MaRDI QIDQ1839231

Milorad Djordjevic

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(83)90057-9

zbMATH Keywords

Lyapunov functionstability analysisinterconnected systemsunstable subsystems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Large-scale systems (93A15)

Related Items (9)

Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey) ⋮ Construction of a Lyapunov function for a linear large-scale periodic system with possibly unstable subsystems ⋮ Exact determination of a Lyapunov function and the asymptotic stability domain ⋮ Stability analysis with respect to two measures for population growth models of Kolmogorov type ⋮ Stochastic matrix–valued lyapunove function and its application ⋮ Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions ⋮ Stabilization of large-scale non-linear infinite delay systems ⋮ 40 years of the direct matrix-valued Lyapunov function method (review) ⋮ Elements of the theory of stability of hybrid systems (review)

Cites Work

• $L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations
• Asymptotic stability and instability of large-scale systems
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