A Bridge Between Lyapunov-Krasovskii and Spectral Approaches for Difference Equations

DOI10.1007/978-3-319-26369-4_6zbMath1349.93327OpenAlexW2346387543MaRDI QIDQ2832746

Sérine Damak, Michaël Di Loreto, Vincent Andrieu, Warody Lombardi

Publication date: 14 November 2016

Published in: Recent Results on Time-Delay Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-26369-4_6

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

Stability Analysis of Linear Delay Systems via Internally Positive Representations: An Overview ⋮ Exponential \(L_2\)-stability for a class of linear systems governed by continuous-time difference equations

Cites Work

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• Exponential stability of some linear continuous time difference systems
• Equivalence between the Lyapunov-Krasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems
• Differential-difference equations
• Stability problem of systems with multiple delay channels
• On the zeros of exponential polynomials
• Linear autonomous neutral functional differential equations
• Stability properties of functional difference equations
• The effect of small delays in the feedback loop on the stability of neutral systems
• About Lyapunov functionals construction for difference equations with continuous time.
• Stability of linear descriptor systems with delay: a Lyapunov-based approach
• On quadratic Liapunov functionals for linear difference equations
• Exponential stability of linear continuous time difference systems with multiple delays
• Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
• The Liapunov's second method for continuous time difference equations
• Lyapunov equation for the stability of linear delay systems of retarded and neutral type
• Exponential Stability of Integral Delay Systems With a Class of Analytic Kernels
• Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case
• Stability of time-delay systems

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