In this paper we introduce a stability radius for a wide class of linear innnite-dimensional time-varying systems under structured time{varying perturbations. A framework is presented which allows the same degree of unboundedness in the perturbations as in the generator of the nominal model.

We extend the notion of a spectral scale to n-tuples of unbounded operators affiliated with a finite von Neumann Algebra. We focus primarily on the single-variable case and show that many of the results from the bounded theory go through in the unbounded situation. We present the currently available material on the unbounded multivariable situation. Sufficient conditions for a set to be a spect...

The work presents a necessary and sufficient condition for the generalized AE-solution sets to interval linear systems of equations to be unbounded. The criterion requires solvability of one of the totality of 2 linear inequalities constructed from the initial interval system. It is shown that the problem of recognizing the boundedness of AE-solution sets is NP-complete in general.

Reduplication, the remaining problem in computational morphology is a morphological process that involves copying the base form wholly or partially. Reduplication can also be classified as either bounded or unbounded reduplication. Some solutions have been proposed for bounded reduplication. Some of the proposed solutions use ordered replace rules while others use simultaneous two-level rules. ...

This paper investigates the complexity of the min-max and min-max regret assignment problems both in the discrete scenario and interval data cases. We show that these problems are strongly NP -hard for an unbounded number of scenarios. We also show that the interval data min-max regret assignment problem is strongly NP -hard.

We establish a sample path generation scheme in unified manner for general multivariate infinitely divisible processes based on shot noise representation of their integrators. The approximation is derived from the decomposition process to three independent components jump sizes and timings: large jumps over compact time interval, small entire interval an unbounded interval. first component take...

In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.