Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros
From MaRDI portal
Publication:4974447
DOI10.1109/TAC.2008.2008345zbMath1367.65076OpenAlexW2100353328MaRDI QIDQ4974447
Publication date: 8 August 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tac.2008.2008345
Eigenvalue problems (93B60) Numerical computation of solutions to single equations (65H05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Applications of operator theory in systems, signals, circuits, and control theory (47N70)
Related Items
Bounds of imaginary spectra of LTI systems in the domain of two of the multiple time delays, Exhaustive stability analysis in a consensus system with time delay and irregular topologies, Robust stability of dynamic predictor based control laws for input and state delay systems, Pole assignment using state feedback with time delay in friction-induced vibration problems, Dixon resultant theory for stability analysis of distributed delay systems and enhancement of delay robustness, Stability limit of human-in-the-loop model reference adaptive control architectures, Discretization of Solution Operators for Linear Time Invariant - Time Delay Systems in Hilbert Spaces, The Infinite Arnoldi Method and an Application to Time-Delay Systems with Distributed Delays, Some new algebraic and geometric analysis for local stability crossing curves, Stability analysis for LTI systems with multiple time delays using the bounds of its imaginary spectra, Some special cases in the stability analysis of multi-dimensional time-delay systems using the matrix Lambert \(W\) function, Stability analysis for the group dynamics consensus with time delayed communications, A general framework for the exact stability analysis of love dynamics with four independent time delays, Complete stability assessment of LTI systems with multiple constant-coefficient distributed delays using the improved frequency sweeping framework, An Analytical Approach to Tuning of Delay-Based Controllers for LTI-SISO Systems, Improved frequency sweeping technique and stability analysis of the second-order consensus protocol with distributed delays, Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems, Delay-dependent and delay-independent stability of Cournot duopoly model with tax evasion and time-delay, Unnamed Item, Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design, A universal map of three-dominant-pole assignment for PID controller tuning, A computing method on stability intervals of time-delay for fractional-order retarded systems with commensurate time-delays, Quasipolynomial approach to simultaneous robust control of time-delay systems, Scanning the Space of Parameters for Stability Regions of a Class of Time-Delay Systems; A Lyapunov Matrix Approach, Proportional-Retarded (PR) Protocol for a Large Scale Multi-agent Network with Noisy Measurements; Stability and Performance, Analysis of Time Delays in Quadrotor Systems and Design of Control, Analysis of Thermoacoustic Instability: A Time-Delay System Approach, A numerical approach for investigating the stability of equilibria for structured population models, Proportional retarded controller to stabilize underactuated systems with measurement delays: Furuta pendulum case study, Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system, Dynamic similarity approach to control system design: delayed PID control loop, A Computing Approach for Delay Margin of Linear Fractional‐Order Retarded Systems with Commensurate Time Delays, Delays compensation for an atmospheric sliced tomatoes dehydration process via state predictors, Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix, Partial pole assignment with time delays for asymmetric systems, Stability of formation control using a consensus protocol under directed communications with two time delays and delay scheduling, Controller design for delay systems via eigenvalue assignment – on a new result in the distribution of quasi-polynomial roots, Calculating characteristic roots of multi-delayed systems with accumulation points via a definite integral method, Conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay, Adaptive fuzzy control of state-feedback time-delay systems with uncertain parameters, Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems, Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method, Design, Analysis and Implementation of Smoothed Input Shapers with Distributed Delays, Fast consensus in a large-scale multi-agent system with directed graphs using time-delayed measurements, Consensus analysis with large and multiple communication delays using spectral delay space concept, A Scalable Approach to Compute Delay Margin of a Class of Neutral-Type Time Delay Systems, Coprime-inner/outer factorization of SISO time-delay systems and FIR structure of their optimal H-infinity controllers, On characteristic roots and stability charts of delay differential equations, Dominant Trio of Poles Assignment in Delayed PID Control Loop, QPmR - Quasi-Polynomial Root-Finder: Algorithm Update and Examples, Counting characteristic roots of linear delay differential equations. II: From argument principle to rightmost root assignment methods, Combination of sign inverting and delay scheduling control concepts for multiple-delay dynamics, Stability and Hopf bifurcation of a love model with two delays, A consensus protocol under directed communications with two time delays and delay scheduling, Optimal sign inverting control for time-delayed systems, a concept study with experiments