This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both state and output feedback Lagrange stabilization problems are considered. The paper develops a pseudo H∞ control theory to solve these stabilization problems. In a similar fashion to the Strict Bounded Real ...

Random search methods are successfully implemented for variety of discrete optimization NP-hard problems when any exact solution approaches cannot be implemented due to large computational demands. Initially designed for unconstrained optimization, the probability changing method gives an approximate solution for various linear and non-linear pseudo-Boolean optimization problems with constraint...

In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudoquadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a poss...

The kinetic study of methylene blue (MB) adsorption using acid-activated spent tea (AAST) as an adsorbent from aqueous solution with the aim of comparing linear and non-linear regression analysis methods was performed at varying initial MB concentrations (10-100 mg/l). Hence, spent tea leaves, which were activated using concentrated sulfuric acid, were prepared. The physicochemical characterist...

in the linear system ax = b the points x are sometimes constrained to lie in a given subspace s of column space of a. drazin inverse for any singular or nonsingular matrix, exist and is unique. in this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of drazin inverse in solving such systems is investigated. constrained linear system arise ...

In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...

In this manuscript, we introduce  a new class of fuzzy problems, namely ``fuzzy inclusion linear systems" and   propose a fuzzy solution set for it. Then, we present a theoretical discussion about the relationship between  the fuzzy solution set of a  fuzzy inclusion linear system and the algebraic solution of a fuzzy linear system. New necessary and sufficient conditions are derived for obtain...

Pseudo-analysis is basing on the fact that instead of the usual field of real numbers a semiring is taken on a real interval of the extended real numbers with pseudo operations: pseudo-addition and pseudo-multiplication. Starting from the semiring structure, it is developed by Maslov and his group the so called idempotent analysis, and then in a more general setting (Sugeno, Murofushi, Pap, Kli...