A behavioral approach to linear exact modeling

Exact and Approximate Modeling of Linear Systems: A Behavioral Approach

A Dynamical Systems Approach to Behavioral Modeling

nonlinear, black box model, behavioral model, input-output model, time-series, embedology This technical report describes the groundwork for our nonlinear modeling technologies. Future technical reports will go into detail about the specific solutions we are developing to build accurate models for nonlinear electronic devices from input-output measurements for possible use in CAD simulators suc...

Analysis and Modeling of VoIP Servers: A Linear Programming Approach

The SIP protocol was standardized by the IETF at the application layer for initiating, managing, and terminating multimedia sessions and has been widely used as the main signaling protocol on both the Internet and VoIP networks. Most challenges in this protocol are overload and lack of proper state distribution. These challenges cause a wide range of next-generation network users to face a shar...

Optimal Angle Reduction - A Behavioral Approach to Linear System Approximation

We investigate the problem of optimal state reduction under minimization of the angle between system behaviors. The angle is defined in a worst-case sense, as the largest angle that can occur between a system trajectory and its optimal approximation in the reduced order model. This problem is analysed for linear time-invariant finite dimensional systems, in a behavioral 2-setting, without refer...

Exact linear modeling with polynomial coefficients

Given a finite set of polynomial, multivariate, and vector-valued functions, we show that their span can be written as the solution set of a linear system of partial differential equations (PDE) with polynomial coefficients. We present two different but equivalent ways to construct a PDE system whose solution set is precisely the span of the given trajectories. One is based on commutative algeb...