Asymptotic stability of implicit differential systems in the vicinity of program manifold

DOI10.1007/s11253-014-0959-yzbMath1322.34016OpenAlexW2035745604MaRDI QIDQ2260828

Sailaubay S. Zhumatov

Publication date: 12 March 2015

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

Full work available at URL: https://doi.org/10.1007/s11253-014-0959-y

zbMATH Keywords

Lyapunov stabilitydifferential-algebraic systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability of solutions to ordinary differential equations (34D20)

Related Items (5)

Frequency conditions for the convergence of control systems in a neighborhood of the program manifold ⋮ ON INVERSE PROBLEM OF CLOSURE OF DIFFERENTIAL SYSTEMS WITH DEGENERATE DIFFUSION ⋮ On the solvability of stochastic Helmholtz problem ⋮ On the solvability of the main inverse problem for stochastic differential systems ⋮ On stochastic inverse problem of construction of stable program motion

Cites Work

• Unnamed Item
• Stability theory by Liapunov's direct method
• On proper singular points of ordinary differential equations unsolved for derivatives
• Non-linear functions and stability of motions of implicit differential systems
• On the structure of the general solution of a degenerate linear system of second-order differential equations
• Implicit differential equations and vector fields with non-isolated singular points
• On some properties of degenerate linear systems
• On the examination of the solution to implicitly defined ordinary differential equations

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