On stability of Switched Differential Algebraic Equations: A Decomposition Based Approach

P Raj, D Pal - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
In this letter, we prove a Lie algebraic decomposition (of a certain Lie algebra, associated
with the system, into a direct sum of its radical and a compact Lie algebra) based criterion for …

Optimal control of DAEs with unconstrained terminal costs

P Wijnbergen, S Trenn - 2021 60th IEEE Conference on …, 2021 - ieeexplore.ieee.org
This paper is concerned with the linear quadratic optimal control problem for impulse
controllable differential algebraic equations on a bounded half open interval. Regarding the …

Impulse-controllability of system classes of switched differential algebraic equations

P Wijnbergen, S Trenn - Mathematics of Control, Signals, and Systems, 2024 - Springer
In this paper, impulse-controllability of system classes containing switched DAEs is studied.
We introduce several notions of impulse-controllability of system classes and provide a …

[HTML][HTML] Impulse-free interval-stabilization of switched differential algebraic equations

P Wijnbergen, S Trenn - Systems & Control Letters, 2021 - Elsevier
In this paper stabilization of switched differential algebraic equations is considered, where
Dirac impulses in both the input and the state trajectory are to be avoided during the …