Vladimir Kharitonov: Achievements in research

DOI10.1002/rnc.6050zbMath1527.93250OpenAlexW4210515600MaRDI QIDQ6085110

Alexey V. Egorov

Publication date: 2 December 2023

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.6050

zbMATH Keywords

robust stabilityLyapunov methodtime delay systemsKharitonov

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Robust stability (93D09) Delay control/observation systems (93C43)

Cites Work

• Exponential estimates for neutral time-delay systems: an LMI approach
• Robust stability of quasi-polynomials and the finite inclusions theorem
• Necessary exponential stability conditions for linear periodic time‐delay systems
• Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
• Recent results on the robust stability of multivariate polynomials
• Polytopic families of quasi-polynomials: vertex-type stability conditions
• Necessary stability conditions for neutral-type systems with multiple commensurate delays
• Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel
• Estimates of the attraction region for a class of nonlinear time-delay systems
• Quadratic liapunov functionals for systems with delay
• ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS
• Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case
• Necessary Stability Conditions for Integral Delay Systems
• On the zeros of some transcendental functions
• New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
• Robust stability analysis for linear systems with distributed delays: A time‐domain approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Predictor-based controls: the implementation problem
• Razumikhin and Krasovskii stability theorems for time-varying time-delay systems
• Robust stability of dynamic predictor based control laws for input and state delay systems
• On the uniqueness of Lyapunov matrices for a time-delay system
• An extension of the prediction scheme to the case of systems with both input and state delay
• Time-delay systems. Lyapunov functionals and matrices
• Stability of a family of difference systems
• Robustness of a discrete system
• Representation and control of infinite dimensional systems
• Generalization of Liapunov's theorem in a linear delay system
• Lyapunov-Krasovskii functionals for scalar neutral type time delay equations
• Delay compensation for nonlinear, adaptive, and PDE systems
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Distribution of the roots of the characteristic polynomial of an autonomous system
• Stability criterion for family of delay-type quasipolynomials
• Families of stable quasipolynomials
• A Liapunov functional for a matrix difference-differential equation
• Robust stability of multivariate polynomials. I: Small coefficient perturbations
• Robust stability of multivariate polynomials. II: Polytopic coefficient variations
• Stability of imbedded families of polynomials
• Introduction to functional differential equations
• On the stability of quasipolynomials with weighted diamond coefficients
• Delay effects on stability. A robust control approach
• Stability of multivariate polynomials. IV: Conic sets
• Robust stability of multivariate polynomials. III: Frequency domain approach
• A new LKF approach to stability analysis of linear systems with uncertain delays
• New robustness bounds for neutral type delay systems via functionals with prescribed derivative
• A survey of extreme point results for robustness of control systems
• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• Robust control. Systems with uncertain physical parameters. In co-operation with A. Bartlett, D. Kaesbauer, W. Sienel, R. Steinhauser
• Stability and inertia
• On estimation of rates of convergence in Lyapunov-Razumikhin approach
• On the robustness and estimation of the attraction region for a class of nonlinear time delay systems
• Stability of neutral type delay systems: a joint Lyapunov-Krasovskii and Razumikhin approach
• Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix
• Lyapunov matrices for neutral time-delay systems with exponential kernel
• Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis
• Necessary stability conditions for linear delay systems
• Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems
• Predictor based stabilization of neutral type systems with input delay
• Computation of the \(\mathcal H_2\)-norm of the transfer matrix of a neutral type system
• Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays
• Prediction-based control for systems with state and several input delays
• Exponential estimates for time delay systems
• Lyapunov matrices for a class of time delay systems
• Some equations modelling growth processes and gonorrhea epidemics
• Critical frequencies and parameters for linear delay systems: a Lyapunov matrix approach
• Necessary stability conditions for linear systems with incommensurate delays
• Computation of Imaginary Axis Eigenvalues and Critical Parameters for Neutral Time Delay Systems
• Applied Multidimensional Systems Theory
• Necessary Stability Conditions for Delay Systems With Multiple Pointwise and Distributed Delays
• Instability conditions for linear time delay systems: a Lyapunov matrix function approach
• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY
• An elementary proof of Kharitonov's stability theorem with extensions
• Root-Clustering Criteria (II): Linear Matrix Equations
• Lyapunov matrices for a class of neutral type time delay systems
• Stability conditions for integral delay systems
• Linear quadratic suboptimal control for time delays systems
• A necessary and sufficient condition for the stability of interval matrices
• Stability of a polytope of matrices: counterexamples
• Finite spectrum assignment problem for systems with delays
• Frequency domain criteria for l/sup p/-robust stability of continuous linear systems
• Linear matrix equations and root clustering
• Robust stability of time-delay systems
• On stability of a weighted diamond of real quasi-polynomials
• Matrix convex directions for time delay systems
• Stability of some linear systems with delays
• Additional dynamics in transformed time-delay systems
• A matrix method for determining the imaginary axis eigenvalues of a delay system
• Approximation of delay Lyapunov matrices
• Necessary Stability Conditions for Linear Difference Equations in Continuous Time
• Necessary Stability Conditions for Neutral Type Systems With a Single Delay
• On Schur stable multivariate polynomials
• Optimization of the H2 Norm for Time-Delay Systems, with Application to Control Design and Model Approximation
• Assessing the exact stability region of the single-delay scalar equation via its Lyapunov function
• Extension of State Space and Lyapunov Matrices
• Dynamic predictor for systems with state and input delay: A time‐domain robust stability analysis
• Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type
• Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems
• Critical parameters of integral delay systems
• Finite spectrum assignment of unstable time-delay systems with a safe implementation
• Additional dynamics for general class of time-delay systems
• On the stability of linear systems with uncertain delay
• Exponential estimates for retarded time-delay systems: an LMI approach