53 citations · 157 across the 21 of their papers we have counts for
15 papers · 1 filter
On the Existence of Block-Diagonal Solutions to Lyapunov and Riccati Inequalities
Aivar Sootla, Yang Zheng, Antonis Papachristodoulou
In this paper, we describe sufficient conditions when block-diagonal solutions to Lyapunov and Riccati inequalities exist. In order to derive our results, we…
Block Factor-width-two Matrices and Their Applications to Semidefinite and Sum-of-squares Optimization
Yang Zheng, Aivar Sootla, Antonis Papachristodoulou
Semidefinite and sum-of-squares (SOS) optimization are fundamental computational tools in many areas, including linear and nonlinear systems theory. However, the scale of problems…
Block Factor-Width-Two Matrices in Semidefinite Programming
Aivar Sootla, Yang Zheng, Antonis Papachristodoulou
In this paper, we introduce a set of block factor-width-two matrices, which is a generalisation of factor-width-two matrices and is a subset of positive semidefinite matrices. The…
Scalable analysis of linear networked systems via chordal decomposition
Yang Zheng, Maryam Kamgarpour, Aivar Sootla +1
This paper introduces a chordal decomposition approach for scalable analysis of linear networked systems, including stability, and performanc…
Distributed Design for Decentralized Control using Chordal Decomposition and ADMM
Yang Zheng, Maryam Kamgarpour, Aivar Sootla +1
We propose a distributed design method for decentralized control by exploiting the underlying sparsity properties of the problem. Our method is based on chordal decomposition of sp…
An Optimal Control Formulation of Pulse-Based Control Using Koopman Operator
Aivar Sootla, Alexandre Mauroy, Damien Ernst
In many applications, and in systems/synthetic biology, in particular, it is desirable to compute control policies that force the trajectory of a bistable system from one equilibri…
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…
Properties of Isostables and Basins of Attraction of Monotone Systems
Aivar Sootla, Alexandre Mauroy
In this paper, we investigate geometric properties of monotone systems by studying their isostables and basins of attraction. Isostables are boundaries of specific forward-invarian…
Properties of Eventually Positive Linear Input-Output Systems
Aivar Sootla
In this paper, we consider the systems with trajectories originating in the nonnegative orthant becoming nonnegative after some finite time transient. First we consider dynamical s…
On Monotonicity and Propagation of Order Properties
Aivar Sootla
In this paper, a link between monotonicity of deterministic dynamical systems and propagation of order by Markov processes is established. The order propagation has received consid…
Shaping Pulses to Control Bistable Biological Systems
Aivar Sootla, Diego Oyarzun, David Angeli +1
In this paper we study how to shape temporal pulses to switch a bistable system between its stable steady states. Our motivation for pulse-based control comes from applications in…
Distributed Reconstruction of Nonlinear Networks: An ADMM Approach
Wei Pan, Aivar Sootla, Guy-Bart Stan
In this paper, we present a distributed algorithm for the reconstruction of large-scale nonlinear networks. In particular, we focus on the identification from time-series data of t…
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…