Stability Robustness in Parameter Space

Stability - robustness Analysis for Linear Systems with State - space Models

The stability-robustness analysis for linear systems with state-space models is considered, The jiindamental problem of linear control systems subject to unstructured perturbations is addressed, and the results are extended to the consideration oj’linear control systems subject to linear structured perturbations. A modtjied time-domain Lyapunov-based method of stability-robustness analysis is p...

Online State Space Model Parameter Estimation in Synchronous Machines

The purpose of this paper is to present a new approach based on the Least Squares Error method for estimating the unknown parameters of the nonlinear 3rd order synchronous generator model. The proposed method uses the mathematical relationships between the machine parameters and on-line input/output measurements to estimate the parameters of the nonlinear state space model. The field voltage is...

Robustness under Real Parameter Uncertainty

Shape, Size, and Robustness: Feasible Regions in the Parameter Space of Biochemical Networks

The concept of robustness of regulatory networks has received much attention in the last decade. One measure of robustness has been associated with the volume of the feasible region, namely, the region in the parameter space in which the system is functional. In this paper, we show that, in addition to volume, the geometry of this region has important consequences for the robustness and the fra...

Geometry and topology of parameter space: investigating measures of robustness in regulatory networks.

The concept of robustness of regulatory networks has been closely related to the nature of the interactions among genes, and the capability of pattern maintenance or reproducibility. Defining this robustness property is a challenging task, but mathematical models have often associated it to the volume of the space of admissible parameters. Not only the volume of the space but also its topology ...