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Your search keyword '"Kharitonov, Vladimir L."' showing total 5 results
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5 results on '"Kharitonov, Vladimir L."'

3. 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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4. 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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5. 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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