A discrete-time model is proposed for continuous-time repetitive process. Model is calculated based on the zero order hold on input approach and trapezoidal approximation of output signal on input to the state equation. Numerical examples are presented. Copyright © 2005 IFAC

There are only two quantum group structures on the space of two by two uni-modular matrices, these are the SL q (2) and the SL h (2) [9-13] quantum groups. One can not construct a differential geometry on SL q (2) , which at the same time is bicovariant , has three generators , and satisfies the Liebnitz rule. We show that such a differential geometry exists for the quantum group SL h (2) and d...

Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper trapezoidal approximation of fuzzy numbers with respect to the distance based on bi-symmetrical weighted functions are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy numbe...

In this paper we provide sharp error bounds in approximating the weighted Riemann-Stieltjes integral R b a f (t) g (t) d (t) by the weighted trapezoidal rule f(a)+f(b) 2 R b a g (t) d (t) : Applications for continuous functions of selfadjoint operators in complex Hilbert spaces are given as well.

The systems K of transsnite cumulative types up to are extended to systems K 1 that include a natural innnitary inference rule, the so-called limit rule. For countable a semantic completeness theorem for K 1 is proved by the method of reduction trees, and it is shown that every model of K 1 is equivalent to a cumulative hierarchy of sets. This is used to show that several axiomatic rst-order se...

Voter control problems model situations such as an external agent trying to affect the result of an election by adding voters, for example by convincing some voters to vote who would otherwise not attend the election. Traditionally, voters are added one at a time, with the goal of making a distinguished alternative win by adding a minimum number of voters. In this paper, we initiate the study o...

Given natural numbers m and n, we define a deflation map from the characters of the symmetric group Smn to the characters of Sn. This map is defined by first restricting a character of Smn to the wreath product Sm oSn, and then taking the sum of the irreducible constituents of the restricted character on which the base group Sm × · · · × Sm acts trivially. We prove a combinatorial formula which...

In classi"cation tasks it may be wise to combine observations from di!erent sources. Not only it decreases the training time but it can also increase the robustness and the performance of the classi"cation. Combining is often done by just (weighted) averaging of the outputs of the di!erent classi"ers. Using equal weights for all classi"ers then results in the mean combination rule. This works v...

The Double Majority rule in the Treaty is claimed to be simpler, more transparent and more democratic than the existing rule. We examine these questions against the democratic ideal that the votes of all citizens in whatever member country should be of equal value using voting power analysis considering possible future enlargements involving candidate countries and then to a number of hypotheti...

Let X1,X2, . . . ,Xn be i.i.d. random variables with a known continuous distribution function. Robbins’ problem is to find a sequential stopping rule without recall which minimizes the expected rank of the selected observation. An upper bound (obtained by memoryless threshold rules) and a procedure to obtain lower bounds of the value are known, but the essence of the problem is still unsolved. ...