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Vladimir Kharitonov: Achievements in research (Q6085110)

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scientific article; zbMATH DE number 7773492

Language	Label	Description	Also known as
English	Vladimir Kharitonov: Achievements in research	scientific article; zbMATH DE number 7773492

Statements

scholarly article

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Vladimir Kharitonov: Achievements in research (English)

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Alexey V. Egorov

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International Journal of Robust and Nonlinear Control

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publication date

2 December 2023

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zbMATH Keywords

Kharitonov

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Lyapunov method

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robust stability

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time delay systems

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/rnc.6050

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An elementary proof of Kharitonov's stability theorem with extensions

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Frequency domain criteria for l/sup p/-robust stability of continuous linear systems

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A necessary and sufficient condition for the stability of interval matrices

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Invariance of the strict Hurwitz property for polynomials with perturbed coefficients

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Robust control. Systems with uncertain physical parameters. In co-operation with A. Bartlett, D. Kaesbauer, W. Sienel, R. Steinhauser

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Root locations of an entire polytope of polynomials: It suffices to check the edges

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Stability of imbedded families of polynomials

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Robustness of a discrete system

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A survey of extreme point results for robustness of control systems

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Stability of a family of difference systems

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Stability of a polytope of matrices: counterexamples

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Introduction to functional differential equations

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On the zeros of some transcendental functions

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Stability criterion for family of delay-type quasipolynomials

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Families of stable quasipolynomials

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On the stability of quasipolynomials with weighted diamond coefficients

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On stability of a weighted diamond of real quasi-polynomials

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Robust stability of quasi-polynomials and the finite inclusions theorem

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Robust stability of time-delay systems

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Matrix convex directions for time delay systems

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Distribution of the roots of the characteristic polynomial of an autonomous system

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ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS

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Linear matrix equations and root clustering

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Stability and inertia

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Root-Clustering Criteria (II): Linear Matrix Equations

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Applied Multidimensional Systems Theory

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Robust stability of multivariate polynomials. I: Small coefficient perturbations

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Robust stability of multivariate polynomials. II: Polytopic coefficient variations

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Robust stability of multivariate polynomials. III: Frequency domain approach

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Stability of multivariate polynomials. IV: Conic sets

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Recent results on the robust stability of multivariate polynomials

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On Schur stable multivariate polynomials

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Polytopic families of quasi-polynomials: vertex-type stability conditions

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Time-delay systems. Lyapunov functionals and matrices

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Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems

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Razumikhin and Krasovskii stability theorems for time-varying time-delay systems

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On estimation of rates of convergence in Lyapunov-Razumikhin approach

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Representation and control of infinite dimensional systems

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Stability of some linear systems with delays

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New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems

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Delay effects on stability. A robust control approach

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Exponential estimates for retarded time-delay systems: an LMI approach

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Exponential estimates for neutral time-delay systems: an LMI approach

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Quadratic liapunov functionals for systems with delay

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A Liapunov functional for a matrix difference-differential equation

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Generalization of Liapunov's theorem in a linear delay system

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On the uniqueness of Lyapunov matrices for a time-delay system

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Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation

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Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems

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Approximation of delay Lyapunov matrices

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Exponential estimates for time delay systems

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Lyapunov matrices for a class of time delay systems

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Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel

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Extension of State Space and Lyapunov Matrices

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Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case

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Lyapunov matrices for a class of neutral type time delay systems

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Lyapunov-Krasovskii functionals for scalar neutral type time delay equations

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Lyapunov matrices for neutral time-delay systems with exponential kernel

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ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY

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Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis

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Necessary Stability Conditions for Linear Difference Equations in Continuous Time

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Stability conditions for integral delay systems

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Some equations modelling growth processes and gonorrhea epidemics

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Additional dynamics in transformed time-delay systems

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Additional dynamics for general class of time-delay systems

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On the stability of linear systems with uncertain delay

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New robustness bounds for neutral type delay systems via functionals with prescribed derivative

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A new LKF approach to stability analysis of linear systems with uncertain delays

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Robust stability analysis for linear systems with distributed delays: A time‐domain approach

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A matrix method for determining the imaginary axis eigenvalues of a delay system

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Computation of Imaginary Axis Eigenvalues and Critical Parameters for Neutral Time Delay Systems

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Critical frequencies and parameters for linear delay systems: a Lyapunov matrix approach

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Critical parameters of integral delay systems

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Computation of the \(\mathcal H_2\)-norm of the transfer matrix of a neutral type system

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Estimates of the attraction region for a class of nonlinear time-delay systems

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On the robustness and estimation of the attraction region for a class of nonlinear time delay systems

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Linear quadratic suboptimal control for time delays systems

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Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix

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Optimization of the H2 Norm for Time-Delay Systems, with Application to Control Design and Model Approximation

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Instability conditions for linear time delay systems: a Lyapunov matrix function approach

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Necessary stability conditions for linear delay systems

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Necessary exponential stability conditions for linear periodic time‐delay systems

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Necessary Stability Conditions for Delay Systems With Multiple Pointwise and Distributed Delays

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Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays

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Necessary Stability Conditions for Neutral Type Systems With a Single Delay

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Necessary stability conditions for neutral-type systems with multiple commensurate delays

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Necessary Stability Conditions for Integral Delay Systems

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Necessary stability conditions for linear systems with incommensurate delays

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Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems

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Stability of neutral type delay systems: a joint Lyapunov-Krasovskii and Razumikhin approach

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Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type

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Assessing the exact stability region of the single-delay scalar equation via its Lyapunov function

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Finite spectrum assignment problem for systems with delays

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An extension of the prediction scheme to the case of systems with both input and state delay

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Delay compensation for nonlinear, adaptive, and PDE systems

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Robust stability of dynamic predictor based control laws for input and state delay systems

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Dynamic predictor for systems with state and input delay: A time‐domain robust stability analysis

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Finite spectrum assignment of unstable time-delay systems with a safe implementation

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Predictor-based controls: the implementation problem

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Prediction-based control for systems with state and several input delays

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Predictor based stabilization of neutral type systems with input delay

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/RNC.6050

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Sitelinks

Mathematics(1 entry)

mardi Publication:6085110

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