We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to tetrahedral local molecules through the chain of groups U(5) ⊃ U(4) ⊃ K(4) = A(4) ∧ S(4) ⊃ S(4) ≈ Td. We determine the general form of the TR operation using a purely algebraic realization, based exclusively on the requirement that the irreducible representations must not be changed under the tim...

We present a new approach to mixed H2/H∞ output feedback control synthesis. Our method uses non-smooth mathematical programming techniques to compute locally optimal H2/H∞-controllers, which may have a pre-defined structure. We prove global convergence of our method and present numerical tests to validate it numerically.

This paper employs a Markov model to study the relative performance of binary and Gray coding in the univariate marginal distribution algorithm, genetic algorithm, and stochastic hillclimbing. The results indicate that while there is little difference between the two for all possible functions, Gray coding does not necessarily improve performance for functions which have fewer local optima in t...

This paper employs a Markov model to study the relative performance of binary and Gray coding in genetic algorithms. The results indicate that while there is little difference between the two for all possible functions, Gray coding does not necessarily improve performance for functions which have fewer local optima in the Gray representation than in binary.

To improve the channel throughput and the fairness of random access channels, we propose a new backoff algorithm, namely, Sensing Backoff Algorithm (SBA). A novel feature of the SBA scheme is the sensing mechanism, in which every node modifies its backoff interval according to the results of the sensed channel activities. In particular, every active node sensing the successful transmission decr...