Complex Systems Similarity Multivariate Analysis

Systems of Systems Analysis - Time Series Systems often contain two or more parameters; these systems are called multivariate. Systems contain parameters defined by models or other means such as measurements from the real world or model simulations that derive parameter values. Parametric measurements may be limited by sensor noise, response time, quantization errors and other real world factors. In some sampling systems, data samples modeled as noise are filtered out and not further considered in analytic solutions. Complex coupled systems including platform dynamics, biological systems, financial systems, manufacturing systems are controlled and monitored by design or evolutionary principles. Current analytical methods filter, reduce, simplify, partition models, designs, functions, sensors, monitoring and controllers utilizing first order statistics and simple mathematical formulations that favor stationarity, univariate condition indicators, thresholds, identi...