Discovering multiple Lyapunov functions for switched hybrid systems

Z She, B Xue - SIAM Journal on Control and Optimization, 2014 - SIAM
In this paper we analyze local asymptotic stability of switched hybrid systems, whose
subsystems have polynomial vector fields, by discovering multiple Lyapunov functions in …

Proving stabilization of biological systems

B Cook, J Fisher, E Krepska, N Piterman - … Austin, TX, USA, January 23-25 …, 2011 - Springer
We describe an efficient procedure for proving stabilization of biological systems modeled
as qualitative networks or genetic regulatory networks. For scalability, our procedure uses …

Stabhyli: a tool for automatic stability verification of non-linear hybrid systems

E Möhlmann, O Theel - Proceedings of the 16th international conference …, 2013 - dl.acm.org
We present Stabhyli, a tool that automatically proves stability of non-linear hybrid systems.
Hybrid systems are systems that exhibit discrete as well as continuous behavior. The …

Towards component based design of hybrid systems: Safety and stability

W Damm, H Dierks, J Oehlerking, A Pnueli - Time for Verification: Essays …, 2010 - Springer
We propose a library based incremental design methodology for constructing hybrid
controllers from a component library of models of hybrid controllers, such that global safety …

Abstraction refinement for stability

PS Duggirala, S Mitra - 2011 IEEE/ACM Second International …, 2011 - ieeexplore.ieee.org
The paper presents a CEGAR-based procedure for verifying stability (region stabillity) of
CPS modeled as hybrid automata. It relies a characterization of the blocking property of …

Hierarchical reasoning and model generation for the verification of parametric hybrid systems

V Sofronie-Stokkermans - International Conference on Automated …, 2013 - Springer
In this paper we study possibilities of using hierarchical reasoning, quantifier elimination and
model generation for the verification of parametric hybrid systems, where the parameters …

Towards CPS verification engineering

A Müller, S Mitsch, W Retschitzegger… - Proceedings of the 22nd …, 2020 - dl.acm.org
While formal verification techniques are inevitable to ensure safety of critical cyber-phyical
systems (CPS), engineering techniques to support the design and analysis of such CPS are …

Decomposition of stability proofs for hybrid systems

J Oehlerking - 2011 - oops.uni-oldenburg.de
Hybride Systeme dienen der Beschreibung der Interaktion von zeitkontinuierlichem und
zeitdiskretem Verhalten, wie sie beispielsweise in eingebetteten Systemen stattfindet. Ein …

Compositional analysis of hybrid systems defined over finite alphabets

M Cubuktepe, M Ahmadi, U Topcu, B Hencey - IFAC-PapersOnLine, 2018 - Elsevier
We consider the stability and the input-output analysis problems of a class of large-scale
hybrid systems composed of continuous dynamics coupled with discrete dynamics defined …

[BOOK][B] Verification of liveness properties on hybrid dynamical systems

R Carter - 2013 - search.proquest.com
A hybrid dynamical system is a mathematical model for a part of the real world where
discrete and continuous parts interact with each other. Typically such systems are complex …