7 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…
An Exact Lyapunov Characterization of Regional Rate Performance for Rational Stability
Declan S. Jagt, Matthew M. Peet
Rational stability is a quantitative stability notion for nonlinear ordinary differential equations (ODEs), under which convergence is characterized by a rationally-in-time decayin…
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…
Picard Iteration for Parameter Estimation in Nonlinear Dynamic Models of Aircraft and Spacecraft
Aleksandr Talitckii, Matthew Peet
The attitude dynamics of aircraft and spacecraft exhibit significantly nonlinear behaviour. In spacecraft, torque is generated through reaction wheels and control moment gyros. In…
Verifying Well-Posedness of Linear PDEs using Convex Optimization
Declan S. Jagt, Matthew M. Peet
Ensuring that a PDE model is well-posed is a necessary precursor to any form of analysis, control, or numerical simulation. Although the Lumer--Phillips theorem provides necessary…
Distributed Sum-of-Squares Programming for Local Stability Analysis of Polynomial PDEs
Carl R Richardson, Declan S Jagt, Matthew M Peet +1
It has recently been shown that the evolution of a state, described by a Partial Differential Equation (PDE), can be more conveniently represented as the evolution of the state's h…
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…