In this paper, we study matching integral graphs of small order. A graph is called matching integral if the zeros of its matching polynomial are all integers. Matching integral graphs were first studied by Akbari, Khalashi, etc. They characterized all traceable graphs which are matching integral. They studied matching integral regular graphs. Furthermore, it has been shown that there is no matc...

Motivated by a specific decision-making situation, this work proposes the concept and definition of unsymmetrical basic uncertain information which is further generalization can model uncertainties in some new situations. We show that sense linguistic hedges such as “at least” most”. Formative weighted arithmetic means induced aggregations are defined for proposed concept. Rules-based decision ...

In this paper, a new open-loop PD2D? type fractional order iterative learning control (ILC) is studied for joint space trajectory tracking of linearized uncertain robotic arm. The robust convergent analysis the errors has been done in time domain where it theoretically proven that boundednesses error are guaranteed presence model uncertainty. convergence proposed ILC law mathematically using Gr...

Abstract In the present study, we investigate existence of solutions to a type uncertain differential equations subject nonlocal derivatives. The approach is based on application an extended Krasnosel’skii fixed point theorem valid fuzzy metric spaces. With this theorem, deduce that problem interest has solution, which defined certain interval. Our includes consideration related integral proble...

We consider an uncertain generalized plant whose control channel is not affected by uncertainties. It is shown that these configurations emerge in various concrete problems such as robust estimator or feed-forward controller design. Under the mere hypothesis that the (possibly non-linear) uncertainties are described by integral quadratic constraints, we reveal how one can translate robust contr...

In this paper, we consider a class of uncertain linear systems which are subject to a general type of integral quadratic constraints (IQCs). Two problems are addressed: 1) robust H 1 analysis and 2) robust H 1 control. In the rst problem, we determine if the system sat-isses a desired H 1 performance for all admissible uncertainties subject to the IQCs. In the second problem, we seek for a dyna...

Understanding Indirect Speech Acts (ISAs) is an integral function of human understanding of natural language. Recent attempts at understanding ISAs have used rule-based approaches to map utterances to deep semantics. While these approaches have been successful in handling a wide range of ISAs, they do not take into account the uncertainty associated with the utterance’s context, or the utteranc...

In this paper the problem of sliding mode control (SMC) for a class of uncertain (TS) fuzzy descriptor systems with time-varying delay is studied. An integral-type sliding function is proposed and a delay-dependent criterion is developed in terms of linear matrix inequality (LMI), which ensures the sliding mode dynamics to be robustly admissible with generalized H2 disturbance rejection level. ...

An Integral Sliding Mode approach to hierarchical control of interconnected systems with uncertainties arising from unknown interconnection states and unknown parametric variation is proposed. The work is based on a recent study using constrained LQR showing that a two-level hierarchical control system with on-line learning coordination provides a suitable architecture for control of uncertain ...