Stability Robustness of Retarded LTI Systems with Single Delay and Exhaustive Determination of Their Imaginary Spectra

DOI10.1137/050633238zbMath1125.93054OpenAlexW2091790697MaRDI QIDQ3593011

Publication date: 24 September 2007

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

Full work available at URL: https://semanticscholar.org/paper/d62040312a37d87cb554d3cddae82e9474a406b8

zbMATH Keywords

robust stability quasi polynomial imaginary spectra detection linear time-delayed dynamics

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Linear systems in control theory (93C05) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (14)

Extraction of 3D stability switching hypersurfaces of a time delay system with multiple fixed delays ⋮ Dixon resultant theory for stability analysis of distributed delay systems and enhancement of delay robustness ⋮ Associative anticipatory learning and control of the cerebellar cortex based on the spike-timing-dependent plasticity of the parallel fiber-Purkinje cell synapses ⋮ Delay-dependent coupling for a multi-agent LTI consensus system with inter-agent delays ⋮ Exponential stabilization of linear systems with time-varying delayed state feedback via partial spectrum assignment ⋮ Design of Imaginary Spectrum of LTI Systems with Delays to Manipulate Stability Regions ⋮ Imaginary axis eigenvalues of matrix delay equations with a certain alternating coefficient structure ⋮ An augmented model for robust stability analysis of time-varying delay systems ⋮ Discussion on: ``Stability analysis of time delayed system with coefficient uncertainty and time delay uncertainty ⋮ A computational approach to stability of polytopic families of quasi-polynomials with single delay ⋮ A stability study on first-order neutral systems with three rationally independent time delays ⋮ Predictor-based control of linear systems with large and variable measurement delays ⋮ A Scalable Approach to Compute Delay Margin of a Class of Neutral-Type Time Delay Systems ⋮ Matrix Polynomials, Similar Operators, and the Imaginary Axis Eigenvalues of a Matrix Delay Equation

This page was built for publication: Stability Robustness of Retarded LTI Systems with Single Delay and Exhaustive Determination of Their Imaginary Spectra