Rafal Goebel

According to our database1, Rafal Goebel authored at least 42 papers between 2002 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Bibliography

2021
Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems.
Math. Control. Signals Syst., 2021

2020
A unifying convex analysis and switching system approach to consensus with undirected communication graphs.
Autom., 2020

2019
Almost Everywhere Conditions for Hybrid Lipschitz Lyapunov Functions.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018
Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno.
SIAM J. Control. Optim., 2018

Applications of convex analysis to consensus algorithms, pointwise asymptotic stability, and its robustness.
Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017
Stability and robustness for saddle-point dynamics through monotone mappings.
Syst. Control. Lett., 2017

Optimal control for pointwise asymptotic stability in a hybrid control system.
Autom., 2017

Robust time-sub-optimal control of the saturated double integrator applied to attitude stabilization.
Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016
How well-posedness of hybrid systems can extend beyond Zeno times.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

Results on optimal stabilization of a continuum of equilibria.
Proceedings of the 55th IEEE Conference on Decision and Control, 2016

2014
Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria.
Syst. Control. Lett., 2014

Linear systems with conical constraints and convex Lyapunov functions in the framework of convex processes.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Results on robust stability and feedback stabilization for systems with a continuum of equilibria.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Set-valued protocols for almost consensus of multiagent systems with uncertain interagent communication.
Proceedings of the American Control Conference, 2014

2013
Lyapunov Functions and Duality for Convex Processes.
SIAM J. Control. Optim., 2013

A stabilization result with application to bipedal locomotion.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012
Functions Which Are Quasiconvex under Linear Perturbations.
SIAM J. Optim., 2012

2011
Set-valued Lyapunov functions for difference inclusions.
Autom., 2011

2010
Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems.
SIAM Rev., 2010

The value function for the Linear-Quadratic Regulator with conical control constraints.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Basic results on pointwise asymptotic stability and set-valued Lyapunov functions.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009
Hybrid Control Systems.
Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Smooth patchy control Lyapunov functions.
Autom., 2009

2008
Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets.
IEEE Trans. Autom. Control., 2008

The Proximal Average: Basic Theory.
SIAM J. Optim., 2008

Invariance principles for switching systems via hybrid systems techniques.
Syst. Control. Lett., 2008

Supervising a family of hybrid controllers for robust global asymptotic stabilization.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Zeno behavior in homogeneous hybrid systems.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Lyapunov characterization of Zeno behavior in hybrid systems.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007
Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability.
IEEE Trans. Autom. Control., 2007

Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems.
IEEE Trans. Autom. Control., 2007

Smooth Lyapunov Functions for Hybrid Systems - Part I: Existence Is Equivalent to Robustness.
IEEE Trans. Autom. Control., 2007

Hybrid systems techniques for convergence of solutions to switching systems.
Proceedings of the 46th IEEE Conference on Decision and Control, 2007

Results on existence of smooth Lyapunov functions for (pre-)asymptotically stable hybrid systems with non-open basins of attraction.
Proceedings of the American Control Conference, 2007

2006
Conjugate convex Lyapunov functions for dual linear differential inclusions.
IEEE Trans. Autom. Control., 2006

Solutions to hybrid inclusions via set and graphical convergence with stability theory applications.
Autom., 2006

A Feedback Control Motivation for Generalized Solutions to Hybrid Systems.
Proceedings of the Hybrid Systems: Computation and Control, 9th International Workshop, 2006

Results on relaxation theorems for hybrid systems.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005
Stabilizing a linear system with Saturation Through optimal control.
IEEE Trans. Autom. Control., 2005

Convex Optimal Control Problems with Smooth Hamiltonians.
SIAM J. Control. Optim., 2005

Conjugate Lyapunov functions for saturated linear systems.
Autom., 2005

2002
Convexity in Zero-Sum Differential Games.
SIAM J. Control. Optim., 2002


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