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19 results on '"Kharitonov, Vladimir L."'

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

Author

Juárez, Luis, Mondié, Sabine, and Kharitonov, Vladimir L.

Subjects
ROBUST stability analysis, DYNAMICAL systems, ROBUST control, TIME-domain analysis, STABILITY of linear systems
Abstract

Summary: The robust stability of linear systems with both state and input delay in closed loop with dynamic predictor‐based controller is analyzed. The problem of time‐varying matrix uncertainty is studied in the Lyapunov‐Krasovskii framework. The complete type functional with prescribed derivative expressed in terms of the delay Lyapunov matrix associated with the nominal system is a key piece of our analysis. The robust stability conditions depend on the delay Lyapunov matrix whose computation is carried out. An illustrative example is presented. [ABSTRACT FROM AUTHOR]

Published
2020
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3. BackMatter.

Author

Kharitonov, Vladimir L.

Published
2013

10. FrontMatter.

Author

Kharitonov, Vladimir L.

Published
2013

13. Lyapunov Matrices for Neutral Type Time Delay Systems.

Author

Ochoa, Gilberto, Velázquez, Juan E., Kharitonov, Vladimir L., and Mondié, Sabine

Abstract

In this contribution two procedures for the computation of Lyapunov matrices of neutral type time delay systems are presented. The first one is a semi-analytic method, that consists in solving a two points boundary value problem for a delay free system. The second one is a piece-wise linear approximation of the Lyapunov matrix. An algorithm for the estimation of the error based on Lyapunov-Krasovskii functionals is also proposed. [ABSTRACT FROM AUTHOR]

Published
2009
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14. Frequency Stability Analysis of Linear Systems with General Distributed Delays.

Author

Kharitonov, Vladimir L., Mondié, Sabine, and Ochoa, Gilberto

Abstract

A new method that reveals conditions under which the characteristic function of a linear time delay system has a root s0 such that –s0 is also a root of the function is presented. The method is based on some recent results on the computation of the Lyapunov matrices for time delay systems. A general class of linear systems with distributed delays is studied. A number of examples are given to illustrate the approach and to show its strength. [ABSTRACT FROM AUTHOR]

Published
2009
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16. Polytopic Families of Quasi-Polynomials: Vertex-Type Stability Conditions.

Author

Kharitonov, Vladimir L., Torres-Muñoz, Jorge Antonio, and Ortiz-Moctezuma, Manuel Benjamin

Subjects
POLYNOMIALS, ROBUST statistics, MATHEMATICAL statistics, TIME delay systems, MULTIVARIATE analysis
Abstract

Focuses on quasi-polynomial families generated by multivariate interval polynomials and derives a class of polytopic families of quasi-polynomials for which the stability of a finite number of vertex quasi-polynomials implies that of the whole family as of November 2003. Overview of quasi-polynomials and multivariate polynomials; Relationship between stability of a multivariate polynomial and that of the generated quasi-polynomial; Glimpse of basic definitions for families of multivariate polynomials and quasi-polynomials.

Published
2003
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18. Static Output Feedback Stabilization: Necessary Conditions for Multiple Delay Controllers.

Author

Kharitonov, Vladimir L., Niculescu, Silviu-Iulian, Moreno, Jaime, and Michiels, Wim

Subjects
ANALOG computers, MATHEMATICAL instruments, ELECTRONIC analog computers, INTEGRATORS, TRANSISTOR oscillators, PLANIMETERS
Abstract

This note focuses on the static output feedback stabilization problem for a class of single-input--single-output systems when the control law includes multiple (distinct) delays. We are interested in giving necessary conditions for the existence of such stabilizing controllers, illustrative examples (second-order system, chain of integrators, or chain of oscillators) are presented, and, discussed. [ABSTRACT FROM AUTHOR]

Published
2005
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19. On the Stability of Linear Systems With Uncertain Delay.

Author

Kharitonov, Vladimir L. and Niculescu, Silviu-Iulian

Subjects
LINEAR systems, DELAY lines
Abstract

This note focuses on the stability of some class of delay systems, including uncertainty in the delays. More precisely, we are interested in guaranteeing the stability of perturbed delay systems by assuming the stability of the nominal system. If the delay perturbation is constant, necessary and sufficient conditions are derived in terms of generalized eigenvalue distribution of some (finite-dimensional) constant matrix pencil. If the delay perturbation is time-varying, some sufficient stability conditions are derived using "exact" Lyapunov-Krasovskii functionals. Illustrative examples are also included. [ABSTRACT FROM AUTHOR]

Published
2003
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