A set-based framework for coherent model invalidation and parameter estimation of discrete time nonlinear systems
This work introduces a unified framework for model invalidation and parameter estimation
for nonlinear systems. We consider a model given by implicit nonlinear difference equations …
for nonlinear systems. We consider a model given by implicit nonlinear difference equations …
Computation of the real logarithm for a discrete-time nonlinear system
L Menini, A Tornambè - Systems & Control Letters, 2010 - Elsevier
For a given nonlinear discrete-time dynamical system, the problem is considered of finding,
if any, a continuous-time nonlinear dynamical system such that the given system is its exact …
if any, a continuous-time nonlinear dynamical system such that the given system is its exact …
Guaranteed steady-state bounds for uncertain chemical processes
Abstract Analysis and safety considerations of chemical and biological processes frequently
require an outer approximation of the set of all feasible steady-states. Nonlinearities …
require an outer approximation of the set of all feasible steady-states. Nonlinearities …
Limiting the parameter search space for dynamic models with rational kinetics using semi-definite programming
D Fey, E Bullinger - IFAC Proceedings Volumes, 2010 - Elsevier
Estimation of kinetic parameters is a key step in modelling, as direct measurements are often
expensive, time-consuming or even infeasible. The class of dynamic models in polynomial …
expensive, time-consuming or even infeasible. The class of dynamic models in polynomial …
[PDF][PDF] Guaranteed set-based controller design for hybrid dynamical systems
P Andonov - 2021 - pure.mpg.de
Control systems lie at the heart of many technical achievements. Often overall system and
thus technological progress is achieved by increasing the quantity and complexity of the …
thus technological progress is achieved by increasing the quantity and complexity of the …
Set-based multi-scale modeling and analysis signal transduction pathways
N Rudolph - 2019 - repo.bibliothek.uni-halle.de
Mathematical modeling of biological systems together with quantitative biochemical and cell
biological analyses allow deep insights into the often complex molecular interconnections …
biological analyses allow deep insights into the often complex molecular interconnections …
[PDF][PDF] Global Sensitivity Analysi s of Force Induced Bone Growth and Adaptation Using Semidefinit e Programming
S Maldonado, R Findeisen, F Allgower - Proc. of the 3rd Found. Syst …, 2009 - academia.edu
This work aims to identify plausible treatment targets and new therapy methods for
remodeling related bone disorders. In this sense, a mathematical model describing the …
remodeling related bone disorders. In this sense, a mathematical model describing the …
[PDF][PDF] Verification of system properties of polynomial systems using discrete-time approximations and set-based analysis
P Rumschinski - 2015 - pure.mpg.de
Control and systems theoretical methods are employed to analyze and influence dynamical
systems in a desired way throughout science and practice. The basis of successfully …
systems in a desired way throughout science and practice. The basis of successfully …
[PDF][PDF] Set-membership Estimation, Analysis, and Experimental Design for Biological Systems
S Borchers - 2013 - pure.mpg.de
The question of origin, evolution, and functioning of life has always fascinated mankind and
influenced the way we think about and perceive ourselves. In 1665, Robert Hooke described …
influenced the way we think about and perceive ourselves. In 1665, Robert Hooke described …