The stability by linear approximation of discrete-time nonlinear singular systems

DOI10.1134/s0037446624020137OpenAlexW4393167037MaRDI QIDQ6203339

Alla Arkad'evna Shcheglova

Publication date: 27 March 2024

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446624020137

zbMATH Keywords

stabilitynonlinear systemsdiscrete systemsdescriptor systemsnonstationary systemsregular systemsreducible systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Cites Work

• Fault detection for singular multiple time-delay systems with application to electrical circuit
• Modeling and control of constrained dynamic systems with application to biped locomotion in the frontal plane
• Singular Dynamic Leontief Systems
• Discrete-Time ${\cal H}_\infty$ Control Problem for Nonlinear Descriptor Systems
• Global stability of discrete-time non-linear systems with descriptor standard and fractional positive linear parts and scalar feedbacks
• Convex Stability Analysis of Nonlinear Singular Systems via Linear Matrix Inequalities
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