113 citations · 160 across the 5 of their papers we have counts for
10 papers
Approximate Projections onto the Positive Semidefinite Cone Using Randomization
Morgan Jones, James Anderson
This paper presents two algorithms that compute approximate Positive Semidefinite (PSD) projections of real symmetric matrices using Randomized Numerical Linear Algebra (RNLA). Cla…
Large-Scale System Identification Using a Randomized SVD
Han Wang, James Anderson
Learning a dynamical system from input/output data is a fundamental task in the control design pipeline. In the partially observed setting there are two components to identificatio…
Delineating Parameter Unidentifiabilities in Complex Models
Dhruva V. Raman, James Anderson, Antonis Papachristodoulou
Scientists use mathematical modelling to understand and predict the properties of complex physical systems. In highly parameterised models there often exist relationships between p…
Region of Attraction Estimation Using Invariant Sets and Rational Lyapunov Functions
Giorgio Valmorbida, James Anderson
This work addresses the problem of estimating the region of attraction (RA) of equilibrium points of nonlinear dynamical systems. The estimates we provide are given by positively i…
On Existence of Solutions to Structured Lyapunov Inequalities
Aviar Sootla, James Anderson
In this paper, we derive sufficient conditions on drift matrices under which block-diagonal solutions to Lyapunov inequalities exist. The motivation for the problem comes from a re…
Structured Projection-Based Model Reduction with Application to Stochastic Biochemical Networks
Aivar Sootla, James Anderson
The Chemical Master Equation (CME) is well known to provide the highest resolution models of a biochemical reaction network. Unfortunately, even simulating the CME can be a challen…
Bounds for Input- and State-to-Output Properties of Uncertain Linear Systems
Giorgio Valmorbida, Dhruva Raman, James Anderson
We consider the effect of parametric uncertainty on properties of Linear Time Invariant systems. Traditional approaches to this problem determine the worst-case gains of the system…
On Projection-Based Model Reduction of Biochemical Networks-- Part II: The Stochastic Case
Aivar Sootla, James Anderson
In this paper, we consider the problem of model order reduction of stochastic biochemical networks. In particular, we reduce the order of (the number of equations in) the Linear No…
On Projection-Based Model Reduction of Biochemical Networks-- Part I: The Deterministic Case
Aivar Sootla, James Anderson
This paper addresses the problem of model reduction for dynamical system models that describe biochemical reaction networks. Inherent in such models are properties such as stabilit…
SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB
Antonis Papachristodoulou, James Anderson, Giorgio Valmorbida +5
The release of SOSTOOLS v4.00 comes as we approach the 20th anniversary of the original release of SOSTOOLS v1.00 back in April, 2002. SOSTOOLS was originally envisioned as a flexi…