5 papers · 1 filter
Dual Representations and Proxy Characterization of Norm for Partial Integral Equations
Danilo Braghini, Tristan Thomas, Sachin Shivakumar +2
Duality and dual representations are essential tools for systems theory and controller synthesis. For any finite-dimensional causal linear time-invariant (CLTI) system, there exist…
Static Output Feedback Stabilization of Linear Systems with Multiple Delays
Danilo Braghini, Eduardo S. Tognetti, Matthew M. Peet
This work proposes a new procedure for the stabilization of time-delay systems using Static Output Feedback (SOF) control. A previous convex optimization approach to SOF for Ordina…
Hierarchical Stability and Lyapunov Conditions for Linear PDEs
Matthew M. Peet
Unlike ordinary differential equations (ODEs), linear partial differential equations (PDEs) admit multiple non-equivalent notions of stability. This variety makes interpretation of…
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 Estimation of Linear Delayed and PDE Systems
Danio Braghini, Sachin Shivakumar, Matthew M. Peet
The norm is a commonly used performance metric in the design of estimators. However, -optimal estimation of most PDEs is complicated by the lack of transfer function and…