The paper considers the mixed 2 H / ∞ H problem for linear systems with jumps. There are two main results proved in the paper. The first one provides an evaluation of the norm induced by the inputs of exponentially stable systems with jumps. This evaluation is useful in design problems when a stabilising controller minimising the induced mixed ∞ H H / 2 norm is required. The second result gives...

Based on a new hesitant fuzzy partial ordering proposed by Garmendia et al.~cite{GaCa:Pohfs}, in this paper a fuzzy disjunction ${D}$ on the set ${H}$ of finite and nonempty subsets of the unit interval and a t-conorm ${S}$ on the set $bar{{B}}$ of equivalence class on the set of finite bags of unit interval based on this partial ordering are introduced respectively. Then, hesitant fuzzy negati...

This paper tackles the problem of H-infinity (H∞) norm computation for a commensurate Fractional Order System (FOS). First, H∞ norm definition is given for FOS and Hamiltonian matrix of a FOS is computed. Two methods based on this Hamiltonian matrix are then proposed to compute the FOS H∞ norm: one based on a dichotomy algorithm and another one on LMI conditions. The LMI conditions are based on...

The paper by R. H. Korogui, A. R. Fioravanti, and J. C. Geromel focuses on the H∞ control design for time-delay linear systems. The results are based on the use of a comparison system obtained via Rekasius’ substitution. As it is known from the delay systems’ literature, this transformation allows to approximate the non-rational transfer functions by rational ones. Moreover the two transfer fun...

For a class of fuzzy metric spaces (in the sense of George and Veeramani) with an H-type t-norm,  we present a method to construct a metric on a  fuzzy metric space. The induced metric space shares many important properties with the given fuzzy metric space.  Specifically, they generate the same topology, and have the same completeness. Our results can give the constructive proofs to some probl...

model order reduction is known as the problem of minimizing the -norm of the difference between the transfer function of the original system and the reduced one. in many papers, linear matrix inequality (lmi) approach is utilized to address the minimization problem. this paper deals with defining an extra matrix inequality constraint to guarantee that the minimum phase characteristic of the sys...