Stability criteria for linear time-invariant systems with multiple delays
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Publication:1840813
DOI10.1006/jmaa.2000.7114zbMath0982.34064OpenAlexW2031378215MaRDI QIDQ1840813
Publication date: 11 February 2001
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.2000.7114
Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Control problems for functional-differential equations (34K35)
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Parameter dependent Lyapunov functions for robust stability of time-varying linear systems under point delays ⋮ Stabilization criteria for continuous linear time-invariant systems with constant lags ⋮ Stability criteria for certain second-order delay differential equations with mixed coefficients ⋮ Stability criteria for linear time-invariant systems with point delays based on one-dimensional Routh-Hurwitz tests ⋮ Exponential stability criteria of uncertain systems with multiple time delays. ⋮ Stability criteria for linear systems with uncertain delays. ⋮ Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays ⋮ Robust stabilization of a class of polytopic linear time-varying continuous systems under point delays and saturating controls ⋮ Stability of retarded dynamical systems: A Lyapunov function approach ⋮ About global asymptotic stability of dynamic systems with time lags and uncertainties within polytopes ⋮ Further results on the stability of linear systems with multiple delays.
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Cites Work
- Stability in linear delay equations
- Further results on the robust stability of linear systems with a single time delay
- Independent of delay stability criteria for uncertain linear state space models
- Robust controller design for uncertain systems with time delays: LMI approach
- Decentralized stabilization of large-scale interconnected time-delay systems
- Stability for differential difference equations
- Robust stability of linear systems with delayed perturbations
- Criteria for asymptotic stability of linear time-delay systems
- Linear systems with commensurate time delays: stability and stabilization independent of delay
- A simplified derivation of the Zeheb-Walach 2-D stability test with applications to time-delay systems
- α-Stability of systems governed by a functional differential equation— extension of results concerning linear delay systems
- A method for computing the interval of delay values for which a differential-delay system is stable
- On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
- On stability independent of delay for linear systems
- Linear Matrix Inequalities in System and Control Theory
- Discretized LMI set in the stability problem of linear uncertain time-delay systems
- Stability robustness bounds for linear systems with multiple time-varying delayed perturbations
- Stability of some linear systems with delays
- On computing the maximal delay intervals for stability of linear delay systems
- Stability robustness bounds for linear systems with delayed perturbations
- On sufficient conditions for stability independent of delay
- On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems
