Hybrid dynamical systems

R Goebel, RG Sanfelice, AR Teel - IEEE control systems …, 2009 - ieeexplore.ieee.org
Robust stability and control for systems that combine continuous-time and discrete-time
dynamics. This article is a tutorial on modeling the dynamics of hybrid systems, on the …

[КНИГА][B] Nonsmooth mechanics

B Brogliato, B Brogliato - 1999 - Springer
Thank you for opening the third edition of this monograph. The first edition [202] was
published in 1996 in the Lecture Notes in Control and Information Sciences series (vol. 220) …

[КНИГА][B] Feedback control of dynamic bipedal robot locomotion

ER Westervelt, JW Grizzle, C Chevallereau, JH Choi… - 2018 - taylorfrancis.com
Bipedal locomotion is among the most difficult challenges in control engineering. Most
books treat the subject from a quasi-static perspective, overlooking the hybrid nature of …

Stability analysis for stochastic hybrid systems: A survey

AR Teel, A Subbaraman, A Sferlazza - Automatica, 2014 - Elsevier
This survey addresses stability analysis for stochastic hybrid systems (SHS), which are
dynamical systems that combine continuous change and instantaneous change and that …

Impulsive differential equations: periodic solutions and applications

X Li, M Bohner, CK Wang - Automatica, 2015 - Elsevier
This paper deals with the periodic solutions problem for impulsive differential equations. By
using Lyapunov's second method and the contraction map** principle, some conditions …

LaSalle-Yoshizawa corollaries for nonsmooth systems

N Fischer, R Kamalapurkar… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
In this technical note, two generalized corollaries to the LaSalle-Yoshizawa Theorem are
presented for nonautonomous systems described by nonlinear differential equations with …

Cooperative adaptive fault-tolerant control for multi-agent systems with deception attacks

L Zhao, GH Yang - Journal of the Franklin Institute, 2020 - Elsevier
The fault tolerant control problem for multi-agent systems with deception attacks and
actuator faults is studied in this paper. Under deception attacks, the false data will be …

Solutions to hybrid inclusions via set and graphical convergence with stability theory applications

R Goebel, AR Teel - Automatica, 2006 - Elsevier
Motivated by questions in stability theory for hybrid dynamical systems, we establish some
fundamental properties of the set of solutions to such systems. Using the notion of a hybrid …

Invariance principles for hybrid systems with connections to detectability and asymptotic stability

RG Sanfelice, R Goebel, AR Teel - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
This paper shows several versions of the (LaSalle's) invariance principle for general hybrid
systems. The broad framework allows for nonuniqueness of solutions, Zeno behaviors, and …

Integrated pest management models and their dynamical behaviour

S Tang, Y **ao, L Chen, RA Cheke - Bulletin of mathematical biology, 2005 - Springer
Two impulsive models of integrated pest management (IPM) strategies are proposed, one
with fixed intervention times and the other with these unfixed. The first model allows natural …