This paper is devoted to the investigation on stability for two characteristic functions $f_1(z) = z^2+pe^{-z\tau }+q$ and $f_2(z) z^2+pz e^{-z\tau }+q$, where $p$ $q$ are real numbers $\tau >0$. The obtained theorems describe explicit dependence changing delay $. Our results applied some special cases of a linear differential system with in diagonal terms delay-dependent conditions obtained.

The paper constructs a mathematical model for logical properties of Chance Discovery (CD) based on Linear Temporal Logic (LTL). We study an extension LTL CD of LTL by implementing multi-agent knowledge logic Km and special operations to model discovery: discoverable via interaction (unary) operation DIA and (unary) operations for local and global discovery: D,l and D,g . We prove that LTL CD is...

This paper solves two open problems about the decidability of the vector reachability problem over a finitely generated semigroup of matrices from SL(2,Z) and the point to point reachability (over rational numbers) for fractional linear transformations, where associated matrices are from SL(2,Z). The approach to solving reachability problems is based on the characterization of reachability path...

We consider functions of natural numbers which allow a combinatorial interpretation as density functions (speed) of classes of relational structures, such as Fibonacci numbers, Bell numbers, Catalan numbers and the like. Many of these functions satisfy a linear recurrence relation over Z or Zm and allow an interpretation as counting the number of relations satisfying a property expressible in M...

data envelopment analysis (dea) is a technique used to compare efficiency in various sectors such as hospitals, chain stores, and dealerships. it represents a set of linear programming techniques and uses deter-ministic data (inputs and outputs), in stable conditions. the dea technique cannot be used when there is data with indeterministic nature, or when there is an environment with dynamic co...

This study presents a new approach based on Tanaka's fuzzy linear regression (FLP) algorithm to solve well-known power system economic load dispatch problem (ELD). Tanaka's fuzzy linear regression (FLP) formulation will be employed to compute the optimal solution of optimization problem after linearization. The unknowns are expressed as fuzzy numbers with a triangular membership function that h...