this paper presents h∞ control problem for input-delayed systems. a neutral system approach is considered to the design of pd controller for input delay systems in presence of uncertain time-invariant delay. using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. the significant specification of this neutral system is that its delayed coeff...

We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to Specht's ratio. Among them, we show that, if $A, Bin mathcal{B(mathcal{H})}$ satisfy in some conditions, it follow...

Due to the paradigm of mass customisation, most of the tasks in final assembly are still performed by humans. Hence, the tasks are becoming more and more complex and the operators need not only physical but also cognitive support to perform their work. The paper discusses the need for a quantitative and easy-to-use method, which simultaneously considers physical and cognitive automation in orde...

Let Ω ⊂ R4 be a smooth oriented bounded domain, H 2 0 (Ω) be the Sobolev space, and λ(Ω) = inf u∈H 2 0 (Ω),‖u‖2=1 ‖ u‖ 2 2 be the first eigenvalue of the bi-Laplacian operator 2. Then for any α: 0 α < λ(Ω), we have sup u∈H 2 0 (Ω),‖ u‖2=1 ∫ Ω e32π u(1+α‖u‖2) dx <+∞ and the above supremum is infinity when α λ(Ω). This strengthens Adams’ inequality in dimension 4 [D. Adams, A sharp inequality of ...