Declan S. Jagt

activity

20132026

most citedSOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB

113 citations · 123 across the 15 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.OC2022

Representation of PDE Systems with Delay and Stability Analysis using Convex Optimization -- Extended Version

Declan S. Jagt, Matthew M. Peet

Partial Integral Equations (PIEs) have been used to represent both systems with delay and systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this…

math.OC2022★ 1 cited

$L_{2}$ -Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities

Declan S. Jagt, Matthew M. Peet

In this paper, we present a new method for estimating the $L_{2}$ -gain of systems governed by 2nd order linear Partial Differential Equations (PDEs) in two spatial variables, using s…

math.OC2022★ 2 cited

Efficient Data Structures for Exploiting Sparsity and Structure in Representation of Polynomial Optimization Problems: Implementation in SOSTOOLS

Declan Jagt, Sachin Shivakumar, Peter Seiler +1

We present a new data structure for representation of polynomial variables in the parsing of sum-of-squares (SOS) programs. In SOS programs, the variables $s (x; Q)$ are polynomial i…

Representation of PDE Systems with Delay and Stability Analysis using Convex Optimization -- Extended Version

L2​-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities

Efficient Data Structures for Exploiting Sparsity and Structure in Representation of Polynomial Optimization Problems: Implementation in SOSTOOLS

$L_{2}$ -Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities