A multivariable control technique is proposed for a type of nonlinear system with parameter intervals. The control incorporates the feedback linearization scheme called Generic Model Control, and alters the control calculation by utilizing parameter intervals, employing an adaptive step, averaging control predictions, and applying an interval problem solution. The proposed approach is applied i...

The effect of multiplicative stochastic perturbations on Hamiltonian systems the plane is investigated. It assumed that fade with time and preserve a stable equilibrium limiting system. paper investigates bifurcations associated changes in stability appearance new stochastically states perturbed shown depending structure parameters decaying can remain or become unstable. In some intermediate ca...

Temporal, spectral, and sample-to-sample fluctuations in coherence properties of qubits form an outstanding challenge for the development upscaled fault-tolerant quantum computers. A ubiquitous source these superconducting is a set atomic scale defects with two-level structure. Here we propose way to mitigate stabilize qubit performance. We show that frequency modulation or, alternatively, defe...

We propose a new class of aggregation operator based on utility function and apply them to group decision-making problem. First of all, based on an optimal deviation model, a new operator called the interval generalized ordered weighted utility multiple averaging (IGOWUMA) operator is proposed, it incorporates the risk attitude of decision-makers (DMs) in the aggregation process. Some desirable...

We investigate stochastic averaging on the infinite time interval for a class of continuous-time nonlinear systems with stochastic perturbation and remove or weaken several restrictions present in existing results: global Lipschitzness of the nonlinear vector field, equilibrium preservation under the stochastic perturbation, global exponential stability of the average system, and compactness of...

Catfish detect and identify invisible prey by sensing their ultra-weak electric fields with electroreceptors. Any neuron that deals with small-amplitude input has to overcome sensitivity limitations arising from inherent threshold non-linearities in spike-generation mechanisms. Many sensory cells solve this issue with stochastic resonance, in which a moderate amount of intrinsic noise causes ir...

Abstract: In this paper, we introduce Interval valued q- Rung Orthopair Hesitant fuzzy sets (IVq-ROHFS) with motivation of pythagorean [44] as a new concept. Then, give some basic operations complement, union, intersection, addition, scalar multiplication, power. Also, combine to and choquet integral , together aggregating operators, develop rung orthopair hesitant Choquet averaging operator (I...

We develop a new approach that uses the ordered weighted averaging (OWA) operator in the selection of financial products. In doing so, we introduce the ordered weighted averaging distance (OWAD) operator and the ordered weighted averaging adequacy coefficient (OWAAC) operator. These aggregation operators are very useful for decision-making problems because they establish a comparison between an...

Ordered weighted averaging (OWA) operators and their extensions are powerful tools used in numerous decision-making problems. This class of operator belongs to a more general family of aggregation operators, understood as discrete Choquet integrals. Aggregation operators are usually characterized by indicators. In this article four indicators usually associated with the OWA operator are extende...

In this paper we show how the distribution of the discrete Choquet integral can be analytically computed. The advantage of having an analytical expression is that the value of the cumulative distribution function (cdf) can be computed exactly for the Choquet. We also derive an expression for the density of the Ordered Weighted Average (OWA) operator, which is a special case of the Choquet.