Further results on stability of \(\dot x(t)=Ax(t)+Bx(t-\tau)\)

DOI10.1016/S0005-1098(96)80010-0zbMath0869.34061OpenAlexW2209728623MaRDI QIDQ675283

El Houssaine Tissir, Abdelaziz Hmamed

Publication date: 6 May 1997

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(96)80010-0

zbMATH Keywords

stabilitynumerical computationsunstable characteristic roots

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (6)

Stability issues and program support for time delay systems in state over finite time interval ⋮ A finite Lyapunov matrix-based stability criterion for linear delay systems via piecewise linear approximation ⋮ A new stability criterion and its application to robust stability analysis for linear systems with distributed delays ⋮ Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems ⋮ \(\mathcal D\)-stability for linear continuous-time systems with multiple time delays ⋮ Delay-dependent robust stability of linear systems with non-commensurate time varying delays

Cites Work

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• Robust stability of delay dependence for linear uncertain systems
• Upper and lower bounds on the solution of the algebraic Riccati equation
• Stability analysis of linear systems with time delay
• Improved quantitative measures of robustness for multivariable systems
• An improved Razumikhin-type theorem and its applications

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