Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays

DOI10.1007/978-3-319-15717-7zbMath1395.93004OpenAlexW2500120077MaRDI QIDQ5249601

Xu-Guang Li, Arben Çela, Silviu Iulian Niculescu

Publication date: 6 May 2015

Published in: SpringerBriefs in Electrical and Computer Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-15717-7

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06)

Related Items (15)

New insights in stability analysis of delayed Lotka-Volterra systems ⋮ Comments on: ``Stability of linear time invariant fractional delay systems of retarded type in the space of delay parameters ⋮ Some new algebraic and geometric analysis for local stability crossing curves ⋮ Stability analysis of time-delay systems in the parametric space ⋮ The ISS framework for time-delay systems: a survey ⋮ Consensus of first-order discrete-time multi-agent systems with time delays ⋮ Reversals in stability of linear time-delay systems: a finer characterization ⋮ Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach ⋮ A Symbolic Computation Approach Towards the Asymptotic Stability Analysis of Differential Systems with Commensurate Delays ⋮ Weierstrass Approach to Asymptotic Behavior Characterization of Critical Imaginary Roots for Retarded Differential Equations ⋮ Imaginary axis eigenvalues of matrix delay equations with a certain alternating coefficient structure ⋮ Proportional retarded controller to stabilize underactuated systems with measurement delays: Furuta pendulum case study ⋮ Stability analysis of delayed food chain systems with heterogeneous free parameters ⋮ A Scalable Approach to Compute Delay Margin of a Class of Neutral-Type Time Delay Systems ⋮ Counting characteristic roots of linear delay differential equations. I: Frequency-sweeping stability tests and applications

This page was built for publication: Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays