1. A method for continuous non-invasive hemodynamic state monitoring in a subject comprising: acquiring continuous ultrasound data via an ultrasound transducer configured to attach to the subject; estimating a plurality of continuous arterial waveforms based upon the acquired ultrasound data, wherein the continuous arterial waveforms comprise arterial area and volumetric flow rate; deriving hemodynamic parameters for each cardiac cycle from the arterial waveforms, wherein the hemodynamic parameters comprise at least one of a minimum, a maximum, or an average value of the continuous arterial waveforms over a heart cycle, or a heart rate derived from a period of the arterial waveforms; defining a current hemodynamic state of the subject by setting limits on one or more hemodynamic parameters based upon the variation of these parameters over an initial period of time, wherein the hemodynamic state is specified by a mean vector and a covariance matrix to remove operator expectation; defining an initial biomechanical model of the artery using a non-linear compliance curve, as calibrated for the current hemodynamic state that converts arterial waveforms into a continuous estimate of arterial blood pressure, wherein the biomechanical model is a static compliance model extending to a dynamic in vivo situation where acute changes in compliance recalibrate the compliance curve; continuously monitoring the hemodynamic state of the subject based upon the generated hemodynamic parameters from subsequent measurements; comparing the current state for one or more hemodynamic parameters of the subject to previously determined limits for one or more hemodynamic parameters, and performing at least one of the following comprising: outputting a trigger signal or alarm from the hemodynamic state monitor, redefining the current hemodynamic state of the subject by setting new limits for one or more of the hemodynamic parameters based on recent measurements, and calibrating a new biomechanical model for the current hemodynamic state in an event that a change is detected in the current state of one or more hemodynamic parameters; and converting the arterial waveforms into a continuous estimate of the arterial blood pressure using the biomechanical model, and outputting the current hemodynamic parameters, blood pressure estimates, and arterial waveforms in an event that a change in the current state of the one or more hemodynamic parameters is not detected; wherein the trigger signal or alarm is automatically adjusted based on statistics of the current hemodynamic state.