7 papers
Mathematical Modeling of Guidance Trajectory with a Moving Destination Using Conditionally Markov Modeling
Reza Rezaie, X. Rong Li
A trajectory of a destination-directed moving object (e.g. an aircraft from an origin airport to a destination airport) has three main components: an origin, a destination, and mot…
Singularity in CM Sequences
Reza Rezaie, X. Rong Li
Most existing results about modeling and characterizing Gaussian Markov, reciprocal, and conditionally Markov (CM) processes assume nonsingularity of the processes. This assumption…
CM Sequence based Trajectory Modeling with Destination
Reza Rezaie, X. Rong Li
In some problems there is information about the destination of a moving object. An example is an airliner flying from an origin to a destination. Such problems have three main comp…
Markov-Induced CM Model
Reza Rezaie, X. Rong Li
Conditionally Markov (CM) sequences are powerful mathematical tools for modeling random phenomena. There are several classes of CM sequences one of which is the reciprocal sequence…
Sample-Path Equivalent CM Models
Reza Rezaie, X. Rong Li
The conditionally Markov (CM) sequence contains different classes including Markov, reciprocal, and so-called and (two special classes of CM sequences). Each class ha…
Reciprocal Sequences as CM Sequences
Reza Rezaie, X. Rong Li
The conditionally Markov (CM) sequence contains several classes, including the reciprocal sequence. Reciprocal sequences have been widely used in many areas of engineering, includi…