113 citations · 123 across the 15 of their papers we have counts for
8 papers · 1 filter
Lyapunov Functions can Exactly Quantify Rate Performance of Nonlinear Differential Equations
Declan S. Jagt, Matthew M. Peet
Pointwise-in-time stability notions for Ordinary Differential Equations (ODEs) provide quantitative metrics for system performance by establishing bounds on the rate of decay of th…
PIETOOLS 2025: User Manual
Sachin Shivakumar, Declan Jagt, Danilo Braghini +3
The PIETOOLS 2025 User Manual describes all the features of version 2025 of the MATLAB toolbox PIETOOLS for the analysis and control of Partial Integral Equations (PIEs). The manua…
-Optimal Estimator Synthesis for Coupled Linear 2D PDEs using Convex Optimization
Declan S. Jagt, Matthew M. Peet
Any suitably well-posed PDE in two spatial dimensions can be represented as a Partial Integral Equation (PIE) -- with system dynamics parameterized using Partial Integral (PI) oper…
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…
-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 -gain of systems governed by 2nd order linear Partial Differential Equations (PDEs) in two spatial variables, using s…
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 are polynomial i…
PIETOOLS 2022: User Manual
Sachin Shivakumar, Declan Jagt, Danilo Braghini +2
PIETOOLS 2022 manual is a document that describes all the features of the MATLAB toolbox for the analysis and control of Partial Integral Equations (PIEs). The manual is aimed to g…
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…