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Stochastic field processes in the mathematical modelling of damped transmission line vibrations
(1987-12-01)
Wind-excited vibrations in the frequency range of 10 to 50 Hz due to vortex shedding often cause fatigue failures in the cables of overhead transmission lines. Damping devices, such as the Stockbridge dampers, have been ...
Stochastic Integration With Respect to Cylindrical Semimartingales
(2021)
In this work we introduce a theory of stochastic integration with respect to general cylindrical semimartingales defined on a locally convex space Φ. Our construction of the stochastic integral is based on the theory of ...
Stochastic exponential stability of singular linear systems with Markov jump parameters
(2012-08-08)
This paper deals with exponential stability of discrete-time singular systems with Markov jump parameters. We propose a set of coupled generalized Lyapunov equations (CGLE) that provides sufficient conditions to check this ...
The temporal-spatial stochastic model of plug-in hybrid electric vehicles
(IEEE, 2017)
Plug-in hybrid electric vehicles (PHEVs) are considered as one of the most complicated loads/power sources because of the temporal and spatial stochastic features compared to other controllable loads. Most of the studies ...
Decomposition of stochastic flow and an averaging principle for slow perturbations
(2020-01-01)
In this work we use the stochastic flow decomposition technique to get components that represent the dynamics of the slow and fast motion of a stochastic differential equation with a random perturbation. Assuming a Lipschitz ...
LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL
(SIAM PUBLICATIONS, 2011)
We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested ...
A stochastic approach to the closure of accessible sets of control systems with application on homogeneous spaces
(Taylor & Francis Ltd, 2018-01-01)
Given a control system on a compact manifold M, we study conditions for the foliation defined by the accessible sets to be dense in M. For this, we relate the control system to a stochastic differential equation and, by ...
Stochastic Time-of-Use-Type Constraints for Uninterruptible Services
(IEEE, 2020)
In this paper, a mixed integer linear formulation for problems considering time-of-use-type constraints for uninterruptible services is presented. This paper is motivated by demand response (DR) problems in power systems, ...
Constant Depth Decision Rules for Multistage Stochastic Convex Programs
(2020-05)
In this paper, we introduce a new class of decision rules called Constant Depth Decision Rules (CDDRs) for Multistage Stochastic Convex Programs (MSCP) depending on a parame- ter Mi called the depth of the decision rules. ...