In this paper, complex arithmetic in polar form, briefly sectors is discussed. The fact that the family of not closed under addition and subtraction gives rise to need an optimized approximation. Precisely, problem discussed, determine smallest possible sector contains sum two sectors. An efficient algorithm solving introduced compared with existing algorithms literature. are implemented MATLAB...

In this paper, we present the notion of complex interval matrix. Further, discuss algebraic structure set all $(m\times n)$ matrices by using tools quasilinear functional analysis. Finally, put a norm on space and calculate matrices.

Neural Networks (NN), Type-1 Fuzzy Logic Systems (T1FLS) and Interval Type-2 Fuzzy Logic Systems (IT2FLS) are universal approximators, they can approximate any non-linear function. Recent research shows that embedding T1FLS on an NN or embedding IT2FLS on an NN can be very effective for a wide number of non-linear complex systems, especially when handling imperfect information. In this paper we...

To the best knowledge of authors, none of existing literatures is available for the linear independency test of interval vectors. In this note, we present an effective way for checking the linear independency of interval vectors and its possible application to the robust control problem, for example in this note, for solve the robust controllability test and robust observability test of uncerta...

This paper addresses the problem of static output-feedback controller design for nonlinear interval time-delay systems based on the Takagi-Sugeno fuzzy model. Sufficient conditions to guarantee the robust stability for considered systems are derived in term of the matrix measures of the system matrices of the linear subsystems in the consequent parts of fuzzy rules. By using linear matrix inequ...

Some incidents in urban railway systems affect the function of the subway’s company adversely and they could disorder the services. These events may inflict irreparable damage to passengers, employees and equipment. By recognizing the hazards existing in this type of transportation system and evaluating and prioritizing risks, we can perform appropriate actions to reduce the probability and sev...

A SEIR control model describing the Ebola epidemic in a population of a constant size is considered over a given time interval. It contains two intervention control functions reflecting efforts to protect susceptible individuals from infected and exposed individuals. For this model, the problem of minimizing the weighted sum of total fractions of infected and exposed individuals and total costs...

We introduce a new abstract domain, namely the domain of Interval Linear Equalities (itvLinEqs), which generalizes the affine equality domain with interval coefficients by leveraging results from interval linear algebra. The representation of itvLinEqs is based on a row echelon system of interval linear equalities, which natively allows expressing classical linear relations as well as certain t...