Stability of discrete-time switching systems with constrained switching sequences

M Philippe, R Essick, GE Dullerud, RM Jungers - Automatica, 2016 - Elsevier
We introduce a novel framework for the stability analysis of discrete-time linear switching
systems with switching sequences constrained by an automaton. The key element of the …

Robust performance for switched systems with constrained switching and its application to weakly hard real-time control systems

S Lang, M Seidel, F Allgöwer - arXiv preprint arXiv:2411.08436, 2024 - arxiv.org
Many cyber-physical systems can naturally be formulated as switched systems with
constrained switching. This includes systems where one of the signals in the feedback loop …

Robust data-driven predictive control for unknown linear time-invariant systems

K Hu, T Liu - arXiv preprint arXiv:2401.07222, 2024 - arxiv.org
This paper presents a new robust data-driven predictive control scheme for unknown linear
time-invariant systems by using input-state-output or input-output data based on whether the …

Nonconservative lifted convex conditions for stability of discrete-time switched systems under minimum dwell-time constraint

W Xiang, HD Tran, TT Johnson - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this note, a novel conception called virtual clock, which is defined by an artificial timer over
a finite cycle, is introduced for stability analysis of discrete-time switched linear systems …

Graph-based conditions for feedback stabilization of switched and LPV systems

M Della Rossa, TA Lima, M Jungers, RM Jungers - Automatica, 2024 - Elsevier
This paper presents novel stabilizability conditions for switched linear systems with arbitrary
and uncontrollable underlying switching signals. We distinguish and study two particular …

On path-complete Lyapunov functions: Geometry and comparison

M Philippe, N Athanasopoulos, D Angeli… - … on Automatic Control, 2018 - ieeexplore.ieee.org
We study optimization-based criteria for the stability of switching systems, known as path-
complete Lyapunov functions, and ask the question “can we decide algorithmically when a …

Multiple Lyapunov functions and memory: A symbolic dynamics approach to systems and control

M Della Rossa, RM Jungers - SIAM Journal on Control and Optimization, 2024 - SIAM
We propose a novel framework for the Lyapunov analysis of an important class of hybrid
systems, inspired by the theory of symbolic dynamics and earlier results on the restricted …

Feedback Stabilization of Discrete-Time Switched Systems Under Büchi-Constrained Signals

M Della Rossa, TA Lima, A Girard - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
This letter studies the feedback stabilization problem for a class of discrete-time switched
systems. The goal is the design, via semidefinite optimization techniques, of feedback …

Combinatorial methods for invariance and safety of hybrid systems

N Athanasopoulos, RM Jungers - Automatica, 2018 - Elsevier
Abstract Inspired by Switching Systems and Automata theory, we investigate how
combinatorial analysis techniques can be performed on a hybrid automaton in order to …

Path-complete graphs and common Lyapunov functions

D Angeli, N Athanasopoulos, RM Jungers… - Proceedings of the 20th …, 2017 - dl.acm.org
A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of
functions, called pieces, and a directed, labeled graph defining Lyapunov inequalities …