A panoramic sketch about the robust stability of time-delay systems and its applications

DOI10.1155/2020/9410315zbMath1451.93285OpenAlexW3088241901MaRDI QIDQ2210262

Baltazar Aguirre-Hernández, Edgar-Cristian Díaz-González, A. Luviano-Juárez, Raúl Villafuerte-Segura, Carlos-Arturo Loredo-Villalobos

Publication date: 5 November 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9410315

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Robust stability (93D09) Delay control/observation systems (93C43)

Related Items

On solutions of PDEs by using algebras, Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma

Uses Software

• DDE-BIFTOOL
• YALTA

Cites Work

• A linear eigenvalue algorithm for the nonlinear eigenvalue problem
• Security concepts for the dynamics of autonomous vehicle networks
• A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays
• The boundary crossing theorem and the maximal stability interval
• Note on stability of linear systems with time-varying delay
• Method of Lyapunov functions for systems with higher-order sliding modes
• A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems
• Robust sampled-data stabilization of linear systems: an input delay approach
• Passivity-based control for bilateral teleoperation: a tutorial
• Differential-difference equations
• Stability analysis of linear fractional differential system with multiple time delays
• Delay-dependent robust stability for uncertain linear systems with interval time-varying delay
• Bilateral teleoperation: An historical survey
• Delay-range-dependent stability for systems with time-varying delay
• A numerical algorithm for stability testing of fractional delay systems
• Network synchronization using invariant-manifold-based diffusive dynamic couplings with time-delay
• Generalization of Liapunov's theorem in a linear delay system
• Fractional-order systems and controls. Fundamentals and applications
• Improved delay-range-dependent stability criteria for linear systems with time-varying delays
• Lyapunov-Krasovskii functionals for scalar neutral type time delay equations
• Tuning of fractional PID controllers with Ziegler-Nichols-type rules
• Stability of functional differential equations
• A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Maximal unidirectional perturbation bounds for stability of polynomials and matrices
• On Bézoutians, Van der Monde matrices, and the Lienard-Chipart stability criterion
• Guaranteed properties of gain scheduled control for linear parameter- varying plants
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Adaptive nonlinear control without overparametrization
• Stability and control of time-delay systems
• Two degree-of-freedom Smith predictor for processes with time delay
• High-gain robust control
• Introduction to functional differential equations
• Stabilizing a class of time delay systems using the Hermite--Biehler theorem.
• Time-delay systems: an overview of some recent advances and open problems.
• Exponential stability for linear time-delay systems with delay dependence.
• The mathematics of internet congestion control
• On Kharitonov's theorem without invariant degree assumption.
• Coprime factorizations and stability of fractional differential systems
• Sufficient algebraic conditions for stability of cones of polynomials
• Robust stability of uncertain delay-differential systems of neutral type
• Analysis of fractional delay systems of retarded and neutral type
• Impulsive discrete-time BAM neural networks with random parameter uncertainties and time-varying leakage delays: an asymptotic stability analysis
• Stability and synchronization of memristor-based fractional-order delayed neural networks
• Finite-time synchronization of fractional-order memristor-based neural networks with time delays
• Stabilization of MISO fractional systems with delays
• Generalized walks-based centrality measures for complex biological networks
• Open problems related to the Hurwitz stability of polynomials segments
• Kharitonov's theorem and the second method of Lyapunov
• Passivity and passification of time-delay systems
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• A practical method for analyzing the stability of neutral type LTI-time delayed systems
• Functions that have no first order derivative might have fractional derivatives of all orders less than one
• Stability of polynomials with conic uncertainty
• Stability and \(D\)-stability of the family of real polynomials
• Adaptive sliding mode control with application to super-twist algorithm: equivalent control method
• A review of some subtleties of practical relevance for time-delay systems of neutral type
• Generalizations of the Hermite-Biehler theorem
• Proportional retarded controller to stabilize underactuated systems with measurement delays: Furuta pendulum case study
• Prediction-based control for nonlinear systems with input delay
• A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays
• Immersion and invariance observers with time-delayed output measurements
• Criteria for robust stability and stabilization of uncertain linear systems with state delay
• Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix
• \( \sigma \)-stabilization of a flexible joint robotic arm via delayed controllers
• Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis
• Stability analysis of fractional-order Hopfield neural networks with time delays
• Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems
• Predictor based stabilization of neutral type systems with input delay
• Global Mittag-Leffler stability of complex valued fractional-order neural network with discrete and distributed delays
• The historical development of classical stability concepts: Lagrange, Poisson and Lyapunov stability
• Constructive nonlinear control
• New delay-dependent stability criteria for systems with interval delay
• Adaptive backstepping control of uncertain systems with unknown input time-delay
• Complex networks: structure and dynamics
• Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays
• Prediction-based control for systems with state and several input delays
• LMI-based results on exponential stability of BAM-type neural networks with leakage and both time-varying delays: a non-fragile state estimation approach
• A unique methodology for the stability robustness of multiple time delay systems
• Synchronization of bilateral teleoperators with time delay
• Passivity and passification of fuzzy systems with time delays
• Algebraic test for the Hurwitz stability of a given segment of polynomials
• Stabilization of some fractional delay systems of neutral type
• Robust control and filtering of singular systems.
• Absolute stability and the Lagrange--Dirichlet theorem with monotone multivalued mappings
• \(H_{\infty }\) and bibo stabilization of delay systems of neutral type
• Exponential estimates for time delay systems
• Lyapunov stability theorem about fractional system without and with delay
• A note on the use of the Lambert W function in the stability analysis of time-delay systems
• Complete stability robustness of third-order LTI multiple time-delay systems
• Critical frequencies and parameters for linear delay systems: a Lyapunov matrix approach
• Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method
• Stability, Control, and Computation for Time-Delay Systems
• A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems
• Continuous Fractional-Order Sliding PI Control for Nonlinear Systems Subject to Non-Differentiable Disturbances
• Design of Proportional-Integral-Retarded (PIR) Controllers for Second-Order LTI Systems
• Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
• Generalization of cluster treatment of characteristic roots for robust stability of multiple time-delayed systems
• Stability of Neutral Systems with Commensurate Delays and Poles Asymptotic to the Imaginary Axis
• Stability analysis and estimate of the region of attraction of a human respiratory model
• Statistical mechanics of complex networks
• Emergence of Scaling in Random Networks
• Modified Mikhailov plots for robust absolute stability with non-parametric perturbations and uncertain nonlinearity
• Solving Ordinary Differential Equations I
• Delay-dependent robust stabilization of uncertain state-delayed systems
• On delay-dependent stability under model transformations of some neutral linear systems
• An extension of predictive control, PID regulators and Smith predictors to some linear delay systems
• Stability analysis of LPV time-delayed systems
• Mathematical Systems Theory I
• An Iterative Method for Computing the Pseudospectral Abscissa for a Class of Nonlinear Eigenvalue Problems
• 𝐷-decomposition of the space of quasi-polynomials (On the stability of linearized distributive systems)
• Constrained robust model predictive control for time-delay systems with polytopic description
• An elementary proof of Kharitonov's stability theorem with extensions
• Robust stability for time-delay systems: the edge theorem and graphical tests
• Fast stability checking for the convex combination of stable polynomials
• A dual result to Kharitonov's theorem
• Fractional PID Controllers for Industry Application. A Brief Introduction
• High-gain control without identification: a survey
• Flatness and quasi-static state feedback in non-linear delay systems
• Lyapunov matrices for a class of neutral type time delay systems
• Computing non-fragile PI controllers for delay models of TCP/AQM networks
• Almost stabilizability subspaces and high gain feedback
• On the stability properties of polynomials with perturbed coefficients
• A simple proof of Kharitonov's theorem
• Direct method for TDS stability analysis
• A simple general proof of Kharitonov's generalized stability criterion
• An alternative proof of Kharitonov's theorem
• Use of time-delay actions in the controller design
• Almost invariant subspaces: An approach to high gain feedback design--Part II: Almost conditionally invariant subspaces
• Global transformations of nonlinear systems
• Frequency domain criteria for l/sup p/-robust stability of continuous linear systems
• Wavelet analysis and synthesis of fractional Brownian motion
• A loop-shaping design procedure using H/sub infinity / synthesis
• Model reduction of delay systems using Pade approximants
• Disturbance isolation in linear feedback systems
• On a functional equation arising in the stability theory of difference-differential equations
• A singular perturbation analysis of high-gain feedback systems
• Application of Kharitonov's theorem to mechanical systems
• A new Smith predictor for controlling a process with an integrator and long dead-time
• Argument conditions for Hurwitz and Schur polynomials from network theory
• Global regulation of flexible joint robots using approximate differentiation
• Robust stability of time-delay systems
• Regeneration Theory
• On the stability of a segment of polynomials
• Discretized LMI set in the stability problem of linear uncertain time-delay systems
• An elementary derivation of the Routh-Hurwitz criterion
• Regional stabilization and H_∞ control of time‐delay systems with saturating actuators
• Control in an Information Rich World
• A delay-dependent stability criterion for systems with uncertain time-invariant delays
• The Kharitonov theorem with degree drop
• A matrix method for determining the imaginary axis eigenvalues of a delay system
• Approximation of delay Lyapunov matrices
• Robust Control for Nonlinear Time-Delay Systems
• Immersion and invariance adaptive control for discrete‐time systems in strict‐feedback form with input delay and disturbances
• Tests for Hurwitz and Schur properties of convex combination of complex polynomials
• Delay-dependent stability and H ∞ control: Constant and time-varying delays
• A Generalized flatness concept for nonlinear delay systems: motivation by chemical reactor models with constant or input dependent delays
• CONTROL OF SYNCHRONIZATION IN DELAY-COUPLED NETWORKS
• Flatness-based control of nonlinear delay systems: A chemical reactor example
• Impulsive discrete-time GRNs with probabilistic time delays, distributed and leakage delays: an asymptotic stability issue
• Dynamic predictor for systems with state and input delay: A time‐domain robust stability analysis
• Tuning of a time‐delayed controller for a general class of second‐order linear time invariant systems with dead‐time
• Quasi-Polynomial-Based Robust Stability of Time-Delay Systems Can be Less Conservative Than Lyapunov–Krasovskii Approaches
• Synchronization in complex oscillator networks and smart grids
• Active Disturbance Rejection Control for Teleoperation Systems with Actuator Saturation
• Robust partial synchronization of delay-coupled networks
• Conditions for stable equilibrium in Cournot duopoly models with tax evasion and time delay
• Synchronization of delay-coupled nonlinear oscillators: An approach based on the stability analysis of synchronized equilibria
• An improved stabilization method for linear time-delay systems
• A descriptor system approach to H/sub ∞/ control of linear time-delay systems
• An Explicit Formula for the Splitting of Multiple Eigenvalues for Nonlinear Eigenvalue Problems and Connections with the Linearization for the Delay Eigenvalue Problem
• Parameter-Dependent Lyapunov Functional for Stability of Time-Delay Systems With Polytopic-Type Uncertainties
• New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems
• Exponential estimates for retarded time-delay systems: an LMI approach
• Improved delay-dependent stability criteria for time-delay systems
• Robust backstepping control for a class of time delayed systems
• Robust stability of quasi-polynomials and the finite inclusions theorem
• Sampled-Data Stabilization of Nonlinear Dynamics With Input Delays Through Immersion and Invariance
• Backstepping Design for Time-Delay Nonlinear Systems
• Stability of Systems With Uncertain Delays: A New “Complete” Lyapunov–Krasovskii Functional
• New Exponential Estimates for Time-Delay Systems
• Stability and Stabilization of Time-Delay Systems
• Polytopic families of quasi-polynomials: vertex-type stability conditions
• Strict Lyapunov Functions for the Super-Twisting Algorithm
• On Convergence Time and Disturbance Rejection of Super-Twisting Control
• Exploring complex networks
• Application of predictive control strategies to the management of complex networks in the urban water cycle [Applications of Control]
• On complete Lyapunov–Krasovskii functional techniques for uncertain systems with fast‐varying delays
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies
• Quadratic liapunov functionals for systems with delay
• Fractional Brownian Motions, Fractional Noises and Applications
• Application of the Tau-Decomposition Method to Dynamical Systems Subjected to Retarded Follower Forces
• On the Boundedness of Solutions of Nonlinear Differential and Difference Equations
• The Asymptotic Behavior of the Solutions of Linear and Nonlinear Differential-Difference Equations
• THE NON-LINEAR DIFFERENCE-DIFFERENTIAL EQUATION
• On the zeros of some transcendental functions
• Symmetry in complex networks
• Stability of time-delay systems
• LPV systems with parameter-varying time delays: Analysis and control
• The use of Routh array for testing the Hurwitz property of a segment of polynomials.
• New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
• Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems
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