New seafloor mapping and sampling demonstrates that the eruption of the high-Ca boninites is clearly associated with rifting of the northern Tonga ridge and the northern Lau Basin at the northern termination of the Tonga Trench. There is very strong evidence for OIB plume related mantle sources involved in the...
An application of the theory of conditionally Gaussian random
processes to filtering and stochastic control problems is presented
here. The results due to Liptser and Shiryayev are proved to hold
in the multidimensional case under somewhat relaxed conditions,
when compared to the original ones. Such a generalization is required
from...
Development of marine heat waves (MHWs) in the Chile-Peru Current System (CPCS) is influenced by multiple physical processes at the air-sea interface whose individual role in these destructive events is difficult to infer. We identified MHW events from sea surface temperature (SST) anomalies from time periods of extreme ocean warming...
While the stability of time-homogeneous Markov chains have been extensively studied through the concept of mixing times, the stability of time-inhomogeneous Markov chains has not been studied as in depth. In this manuscript we will introduce special types of time-inhomogeneous Markov chains that are defined through an adiabatic transition. After...
The objective of the work presented herein is the development of the extended Kalman filter for nonlinear system modeling. A standard Kalman filter is a well-known filter for estimating the state of a system, assuming the system is linear and it has a Gaussian distribution in its noise. In reality,...
The displacement of the free liquid surface in geothermal and
hydrologic reservoirs is an important capacitance factor. An
iterative approach to determining the drawdown of the free liquid
surface for a single sink region in a homogeneous, isotropic, Darcy-type
porous mediums is discussed. The iterative approach involves a
stepwise adjustment...
Bilinear systems due to their variable structure properties
offer more versatility in modelling of nonlinear processes than
linear systems.
The state estimation problem for a continuous bilinear system
with a continuous observation model is studied and the results are
extended to the case where the observations are of a discrete...
An observability problem for both deterministic and stochastic
systems is studied here.
Deterministic observability is a determination of whether every
state of the system is connected to the observation mechanism and how
it is connected, if connected. On the other hand, stochastic
observability discusses the "tightness" of the connection in...
Response behavior of a nonlinear structural system subject to environmental loadings
is investigated in this study. The system contains a nonlinear restoring force due to large
geometric displacement. The external excitation is modeled as a narrowband stochastic
process possessing dynamic characteristics of typical environmental loadings.
A semi-analytical method is developed...