4 papers · 1 filter
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…
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…
-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…
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…