A Liapunov functional for a matrix neutral difference-differential equation with one delay

DOI10.1016/0022-247X(79)90219-1zbMath0415.34058OpenAlexW1999291998WikidataQ115364609 ScholiaQ115364609MaRDI QIDQ599995

W. B. Castelan, Ettore F. Infante

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90219-1

zbMATH Keywords

asymptotic stabilitydifference- differential equationdifference-differential equation with one delayquadratic Liapunov functional

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) General theory of functional-differential equations (34K05)

Related Items

Lyapunov Functionals and Matrices for Neutral Type Time Delay Systems ⋮ Lyapunov matrices: existence and uniqueness issues ⋮ Stability criteria for the linear system [Xdot(t) + A(t)X(t—τ) = 0 and an application to a non-linear system] ⋮ New robustness bounds for neutral type delay systems via functionals with prescribed derivative ⋮ Lyapunov functionals for linear neutral delay systems in the Hale's form ⋮ Stability of neutral type delay systems: a joint Lyapunov-Krasovskii and Razumikhin approach ⋮ Lyapunov's functionals and related optimal problems for differential- difference systems ⋮ Force measurement time-delays and contact instability phenomenon ⋮ Lyapunov matrices for neutral time-delay systems with exponential kernel ⋮ New stability analysis for linear neutral system via state matrix decomposition ⋮ Theory of equations of neutral type ⋮ Mean-square stability of delay-differential equations with non-stationary random coefficients ⋮ Stability of neutral-type functional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The stability and control of discrete processes
• Stability properties of functional difference equations
• On the application of Liapunov's direct method to linear dynamical systems
• A Liapunov functional for a matrix difference-differential equation
• Sufficient conditions for stability and instability of autonomous functional-differential equations
• Stability theory for ordinary differential equations
• A class of neutral functional differential equations
• A Liapunov functional for a scalar differential difference equation
• On a functional equation arising in the stability theory of difference-differential equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations