A Polynomial Method for Stability Analysis of LTI Systems Independent of Delays

DOI10.1137/16M1077726zbMath1369.93517OpenAlexW2751182201MaRDI QIDQ5355195

Baran Alikoç, Ali Fuat Ergenc

Publication date: 7 September 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1077726

zbMATH Keywords

Kronecker sumdelay-independent stabilitymultiple delayslinear time-delay systemsself-inversive polynomials

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Algebraic methods (93B25)

Cites Work

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• Stability independent and dependent of delay for delay differential systems
• Stability independent of delay using rational functions
• A circular stability test for general polynomials
• Complexity issues in robust stability of linear delay-differential systems
• Tutorial on Lyapunov-based methods for time-delay systems
• A unique methodology for the stability robustness of multiple time delay systems
• Easily testable necessary and sufficient algebraic criteria for delay-independent stability of a class of neutral differential systems
• On some features of core hypersurfaces related to stability switching of LTI systems with multiple delays
• Stability, Control, and Computation for Time-Delay Systems
• Linear systems with commensurate time delays: stability and stabilization independent of delay
• Deterministic identification of linear dynamic systems
• The Routh-Hurwitz method for stability determination of linear differential-difference systems†
• Kronecker products and matrix calculus in system theory
• A procedure for determination of the exponential stability of certain differential-difference equations
• Stability and hyperbolicity of linear systems with delayed state: a matrix-pencil approach
• On delay-independent stability criteria: a matrix-pencil approach
• A matrix method for determining the imaginary axis eigenvalues of a delay system
• A New Delay-Independent Stability Test for LTI Systems with Single Delay
• Frequency sweeping tests for stability independent of delay
• On sufficient conditions for stability independent of delay
• Robust Stability of Quasi-Polynomials: Frequency-Sweeping Conditions and Vertex Tests
• An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
• Lyapunov equation for the stability of linear delay systems of retarded and neutral type
• Robust Hurwitz Stability Test for Linear Systems With Uncertain Commensurate Time Delays
• Stability Robustness Analysis of Multiple Time- Delayed Systems Using “Building Block” Concept
• Zero location of polynomials with respect to the unit-circle unhampered by nonessential singularities
• Delay-Independent Stability Test for Systems With Multiple Time-Delays
• Stability and Stabilization of Systems with Time Delay
• Extended Kronecker Summation for Cluster Treatment of LTI Systems with Multiple Delays
• Matrix Differential Equations and Kronecker Products
• Stability of time-delay systems

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