AbstractThis paper develops a validated numerical algorithm to compute the L∞-norm, a norm which plays an important role in modern control. The method reduces the L∞-norm computation problem to real root localization of polynomials and some Sturm chain tests, both of which can be executed in a manner which guarantees accuracy. A computational complexity estimate is also given
The article considers the problem of stability of interval-defined linear systems based on the Hurwi...
AbstractNumerical computation of the optimal H∞ norms for the state feedback and the output feedback...
The aim of this paper is to propose a new method for the optimal "H_∞ norm" computation of time-vary...
AbstractThis paper develops a validated numerical algorithm to compute the L∞-norm, a norm which pla...
In this paper, we propose an improved method for computing the $\mathcal{H}_\infty$ norm of linear d...
This paper is concerned with the problem of validation in the context of numerical computations in c...
International audienceIn this paper, we study the problem of computing the $\mathcal{L}\infty$- nor...
Different norms are considered to replace the Euclidean norm in an algorithm given by M. H. K. Fan a...
49 pages.International audienceIn numerical linear algebra, a well-established practice is to choose...
This study deals with the L₁ analysis of stable finite-dimensional linear time-invariant (LTI) syste...
This is the author accepted manuscript.Conference postponed from August 2020 to August 2021, due to ...
Norms for operators play a fundamental role in the stability and approximation theory of linear and ...
This paper proposes an LMIs characterization of guaranteed ℋ∞ and ℋ2 norms costs for linear systems ...
This paper critically examines the standard algebraic criteria for the stability of linear control s...
This study deals with the L-1 analysis of stable finite-dimensional linear time-invariant (LTI) syst...
The article considers the problem of stability of interval-defined linear systems based on the Hurwi...
AbstractNumerical computation of the optimal H∞ norms for the state feedback and the output feedback...
The aim of this paper is to propose a new method for the optimal "H_∞ norm" computation of time-vary...
AbstractThis paper develops a validated numerical algorithm to compute the L∞-norm, a norm which pla...
In this paper, we propose an improved method for computing the $\mathcal{H}_\infty$ norm of linear d...
This paper is concerned with the problem of validation in the context of numerical computations in c...
International audienceIn this paper, we study the problem of computing the $\mathcal{L}\infty$- nor...
Different norms are considered to replace the Euclidean norm in an algorithm given by M. H. K. Fan a...
49 pages.International audienceIn numerical linear algebra, a well-established practice is to choose...
This study deals with the L₁ analysis of stable finite-dimensional linear time-invariant (LTI) syste...
This is the author accepted manuscript.Conference postponed from August 2020 to August 2021, due to ...
Norms for operators play a fundamental role in the stability and approximation theory of linear and ...
This paper proposes an LMIs characterization of guaranteed ℋ∞ and ℋ2 norms costs for linear systems ...
This paper critically examines the standard algebraic criteria for the stability of linear control s...
This study deals with the L-1 analysis of stable finite-dimensional linear time-invariant (LTI) syst...
The article considers the problem of stability of interval-defined linear systems based on the Hurwi...
AbstractNumerical computation of the optimal H∞ norms for the state feedback and the output feedback...
The aim of this paper is to propose a new method for the optimal "H_∞ norm" computation of time-vary...