Application of commutator calculus to the study of linear impulsive systems

DOI10.1016/J.SYSCONLE.2018.10.015zbMath1408.93114OpenAlexW2906411036MaRDI QIDQ1729120

Osman Tunç, V. O. Bivziuk, Vitalii I. Slyn'ko

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2018.10.015

zbMATH Keywords

stabilityhybrid systemsLyapunov functionsimpulsive differential equationcommutator calculusLyapunov's direct methodaverage dwell-time condition

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

Stability conditions for impulsive dynamical systems ⋮ Construction of a Lyapunov function for a linear large-scale periodic system with possibly unstable subsystems ⋮ Stability of hybrid system with the interaction of continuous and discrete states ⋮ Influence of the commutator properties of Hamiltonians on the robustness of quantum circuits ⋮ Impulsive boundedness for nonautonomous dynamic complex networks with constraint nonlinearity ⋮ Sufficient conditions for the stability of linear periodic impulsive differential equations ⋮ Exponential stability and hybrid \(L_2^h\)-gain analysis of hybrid systems via max functions ⋮ Dwell-time stability conditions for infinite dimensional impulsive systems

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