It is shown that for H∞/R(D)functions f1 and f2 with inf/z ∈D (│f1(z)│+ │f2(z) │≥ ᵟ > 0 and f1 being positive on the real zeros of f2, then there exists H∞/R (D) functions g2 and g1, g1 -1 with norm controlled by a constant depending only on ᵟ g1f1 + g2f2 = 1 ∀ z ∈ D. These results are connected to the computation of the stable rank of the algebra H∞/R and to results in Control Theory
Abstract. In this paper we consider the problem of designing a stabilizing controller which minimize...
International audienceWe consider stabilization and performance optimization of non-linear controlle...
AbstractNumerical computation of the optimal H∞ norms for the state feedback and the output feedback...
AbstractIt is proved that if the functions f, g ϵ H∞, ∥f∥∞ ⩽ 1, ∥g∥∞ ⩽ 1 satisfy the Carleson Corona...
In this note, the simultaneous H∞ control problem is addressed. It is first shown that the existence...
Various optimal control strategies exist in the literature. Prominent approaches are Robust Control ...
In this corrigenda we outline the necessary changes to the paper [3] so that the main result in that...
The problem is considered of bounding the H∞-norm of the transfer functio Ty1u1 relating the output ...
The full information H∞ problem in which D12 is rank deficient is considered. A necessary and suffic...
Simple state-space formulas are derived for all controllers solving the following standard H∞ proble...
We study the standard H∞ optimal control problem using state feedback for smooth nonlinear control s...
The differential L2,p gain of a linear, time- invariant, p-dominant system is shown to coincide with...
In this paper, the stable H∞ control problem is addressed. It is shown that the stable H∞ control pr...
We provide necessary and sufficient conditions for the solvability of the standard H∞-suboptimal con...
An abstract ν-metric was introduced in [1], with a view towards extending the classical ν-metric of ...
Abstract. In this paper we consider the problem of designing a stabilizing controller which minimize...
International audienceWe consider stabilization and performance optimization of non-linear controlle...
AbstractNumerical computation of the optimal H∞ norms for the state feedback and the output feedback...
AbstractIt is proved that if the functions f, g ϵ H∞, ∥f∥∞ ⩽ 1, ∥g∥∞ ⩽ 1 satisfy the Carleson Corona...
In this note, the simultaneous H∞ control problem is addressed. It is first shown that the existence...
Various optimal control strategies exist in the literature. Prominent approaches are Robust Control ...
In this corrigenda we outline the necessary changes to the paper [3] so that the main result in that...
The problem is considered of bounding the H∞-norm of the transfer functio Ty1u1 relating the output ...
The full information H∞ problem in which D12 is rank deficient is considered. A necessary and suffic...
Simple state-space formulas are derived for all controllers solving the following standard H∞ proble...
We study the standard H∞ optimal control problem using state feedback for smooth nonlinear control s...
The differential L2,p gain of a linear, time- invariant, p-dominant system is shown to coincide with...
In this paper, the stable H∞ control problem is addressed. It is shown that the stable H∞ control pr...
We provide necessary and sufficient conditions for the solvability of the standard H∞-suboptimal con...
An abstract ν-metric was introduced in [1], with a view towards extending the classical ν-metric of ...
Abstract. In this paper we consider the problem of designing a stabilizing controller which minimize...
International audienceWe consider stabilization and performance optimization of non-linear controlle...
AbstractNumerical computation of the optimal H∞ norms for the state feedback and the output feedback...