A center of a polytope: An expository review and a parallel implementation.
A combinatorial identity arising from cobordism theory.
A note on estimates of diagonal elements of the inverse of diagonally dominant tridiagonal matrices.
A note on majorization transforms and Ryser’s algorithm
The notion of a transfer (or T -transform) is central in the theory of majorization. For instance, it lies behind the characterization of majorization in terms of doubly stochastic matrices. We introduce a new type of majorization transfer called L-transforms and prove some of its properties. Moreover, we discuss how L-transforms give a new perspective on Ryser’s algorithm for constructing (0; 1)-matrices with given row and column sums.
A proposito di alcune disequazioni lineari
A topology over a set of systems
The systems of an arbitrary number of linear inequalities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimensional spaces, that yields a set of...
A unified approach to fixed-order controller design via linear matrix inequalities.
Algunos resultados sobre sistemas de desigualdades lineales.
En este artículo aplicamos la condición de Mazur-Orlicz para extender a espacios normados algunos resultados de consistencia de desigualdades lineales (s.d.l.) en Rn. Asimismo, obtenemos condiciones para la consistencia de s.d.l. en un espacio localmente convexo, cuando las soluciones pertenecen a ciertos subconjuntos del dual topológico.
Chebyshev inequalities and self-dual cones.
Combinatorial properties of Fourier-Motzkin elimination.
Complete solution of tropical vector inequalities using matrix sparsification
We examine the problem of finding all solutions of two-sided vector inequalities given in the tropical algebra setting, where the unknown vector multiplied by known matrices appears on both sides of the inequality. We offer a solution that uses sparse matrices to simplify the problem and to construct a family of solution sets, each defined by a sparse matrix obtained from one of the given matrices by setting some of its entries to zero. All solutions are then combined to present the result in a...
Conjugacy for closed convex sets.
Fault tolerant control for uncertain time-delay systems based on sliding mode control
Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can...
Generalización de los teoremas de alternativa de sistemas de inecuaciones lineales.
guaranteed cost control of discrete linear systems.
Linear discrete-time systems with Markovian jumps and mode dependent time-delay: stability and stabilizability.
Matrix trace inequalities on the Tsallis entropies.
Minimizing and maximizing a linear objective function under a fuzzy relational equation and an inequality constraint
This paper provides an extension of results connected with the problem of the optimization of a linear objective function subject to fuzzy relational equations and an inequality constraint, where is an operation. This research is important because the knowledge and the algorithms presented in the paper can be used in various optimization processes. Previous articles describe an important problem of minimizing a linear objective function under a fuzzy relational equation and an inequality constraint,...
New results about semi-positive matrices
Our purpose is to present a number of new facts about the structure of semipositive matrices, involving patterns, spectra and Jordon form, sums and products, and matrix equivalence, etc. Techniques used to obtain the results may be of independent interest. Examples include: any matrix with at least two columns is a sum, and any matrix with at least two rows, a product, of semipositive matrices. Any spectrum of a real matrix with at least elements is the spectrum of a square semipositive matrix,...
Note on a determinant of combinatorial numbers.