Rafal Goebel

According to our database, Rafal Goebel authored at least 56 papers between 2002 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

A direct proof of Conley's decomposition for well-posed hybrid inclusions.

Rafal Goebel

Syst. Control. Lett., October, 2023

Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter.

Rafal Goebel

IEEE Trans. Autom. Control., June, 2023

Multi-Channel Hybrid Time Domains and Clustering Protocols for Large-Scale Interconnections.

Andrew R. Teel, Rafal Goebel, Ricardo G. Sanfelice

Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

2021

Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems.

Matteo Della Rossa, Rafal Goebel, Aneel Tanwani, Luca Zaccarian

Math. Control. Signals Syst., 2021

2020

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

Rafal Goebel, Ricardo G. Sanfelice

Autom., 2020

2019

Almost Everywhere Conditions for Hybrid Lipschitz Lyapunov Functions.

Matteo Della Rossa, Rafal Goebel, Aneel Tanwani, Luca Zaccarian

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.

Rafal Goebel, Ricardo G. Sanfelice

SIAM J. Control. Optim., 2018

Applications of convex analysis to consensus algorithms, pointwise asymptotic stability, and its robustness.

Rafal Goebel, Ricardo G. Sanfelice

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017

Stability and robustness for saddle-point dynamics through monotone mappings.

Rafal Goebel

Syst. Control. Lett., 2017

Optimal control for pointwise asymptotic stability in a hybrid control system.

Rafal Goebel

Autom., 2017

Robust time-sub-optimal control of the saturated double integrator applied to attitude stabilization.

Mirko Brentari, Paolo Bosetti, Rafal Goebel, Luca Zaccarian

Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016

How well-posedness of hybrid systems can extend beyond Zeno times.

Rafal Goebel, Ricardo G. Sanfelice

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

Results on optimal stabilization of a continuum of equilibria.

Rafal Goebel

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.

Rafal Goebel

Syst. Control. Lett., 2014

Linear systems with conical constraints and convex Lyapunov functions in the framework of convex processes.

Rafal Goebel

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.

Rafal Goebel

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Set-valued protocols for almost consensus of multiagent systems with uncertain interagent communication.

Teymur Sadikhov, Wassim M. Haddad, Rafal Goebel, Magnus Egerstedt

Proceedings of the American Control Conference, 2014

2013

Lyapunov Functions and Duality for Convex Processes.

Rafal Goebel

SIAM J. Control. Optim., 2013

A stabilization result with application to bipedal locomotion.

Andrew R. Teel, Rafal Goebel, Benjamin Morris, Aaron D. Ames, Jessy W. Grizzle

Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2012

Functions Which Are Quasiconvex under Linear Perturbations.

Emmanuel N. Barron, Rafal Goebel, Robert R. Jensen

SIAM J. Optim., 2012

2011

Set-valued Lyapunov functions for difference inclusions.

Rafal Goebel

Autom., 2011

2010

Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems.

Rafal Goebel, Andrew R. Teel

SIAM Rev., 2010

The value function for the Linear-Quadratic Regulator with conical control constraints.

Rafal Goebel

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Basic results on pointwise asymptotic stability and set-valued Lyapunov functions.

Rafal Goebel

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009

Hybrid Control Systems.

Andrew R. Teel, Ricardo G. Sanfelice, Rafal Goebel

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Smooth patchy control Lyapunov functions.

Rafal Goebel, Christophe Prieur, Andrew R. Teel

Autom., 2009

2008

Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets.

Chaohong Cai, Rafal Goebel, Andrew R. Teel

IEEE Trans. Autom. Control., 2008

The Proximal Average: Basic Theory.

Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianfu Wang

SIAM J. Optim., 2008

Invariance principles for switching systems via hybrid systems techniques.

Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel

Syst. Control. Lett., 2008

Supervising a family of hybrid controllers for robust global asymptotic stabilization.

Ricardo G. Sanfelice, Andrew R. Teel, Rafal Goebel

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Zeno behavior in homogeneous hybrid systems.

Rafal Goebel, Andrew R. Teel

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Lyapunov characterization of Zeno behavior in hybrid systems.

Rafal Goebel, Andrew R. Teel

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007

Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability.

Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel

IEEE Trans. Autom. Control., 2007

Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems.

Christophe Prieur, Rafal Goebel, Andrew R. Teel

IEEE Trans. Autom. Control., 2007

Smooth Lyapunov Functions for Hybrid Systems - Part I: Existence Is Equivalent to Robustness.

Chaohong Cai, Andrew R. Teel, Rafal Goebel

IEEE Trans. Autom. Control., 2007

Hybrid systems techniques for convergence of solutions to switching systems.

Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel

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.

Chaohong Cai, Andrew R. Teel, Rafal Goebel

Proceedings of the American Control Conference, 2007

2006

Conjugate convex Lyapunov functions for dual linear differential inclusions.

Rafal Goebel, Andrew R. Teel, Tingshu Hu, Zongli Lin

IEEE Trans. Autom. Control., 2006

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

Rafal Goebel, Andrew R. Teel

Autom., 2006

A Feedback Control Motivation for Generalized Solutions to Hybrid Systems.

Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel

Proceedings of the Hybrid Systems: Computation and Control, 9th International Workshop, 2006

Results on relaxation theorems for hybrid systems.

Chaohong Cai, Andrew R. Teel, Rafal Goebel

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

On the robustness to measurement noise and unmodeled dynamics of stability in hybrid systems.

Ricardo G. Sanfelice, Andrew R. Teel, Rafal Goebel, Christophe Prieur

Proceedings of the American Control Conference, 2006

2005

Stabilizing a linear system with Saturation Through optimal control.

Rafal Goebel

IEEE Trans. Autom. Control., 2005

Convex Optimal Control Problems with Smooth Hamiltonians.

Rafal Goebel

SIAM J. Control. Optim., 2005

Conjugate Lyapunov functions for saturated linear systems.

Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli Lin

Autom., 2005

Results on robust stabilization of asymptotically controllable systems by hybrid feedback.

Christophe Prieur, Rafal Goebel, Andrew R. Teel

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

Results on convergence in hybrid systems via detectability and an invariance principle.

Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel

Proceedings of the American Control Conference, 2005

Results on solution sets to hybrid systems with applications to stability theory.

Rafal Goebel, Andrew R. Teel

Proceedings of the American Control Conference, 2005

Continuous time constrained linear quadratic regulator - convex duality approach.

Rafal Goebel, Maxim V. Subbotin

Proceedings of the American Control Conference, 2005

Converse Lyapunov theorems and robust asymptotic stability for hybrid systems.

Chaohong Cai, Andrew R. Teel, Rafal Goebel

Proceedings of the American Control Conference, 2005

2004

Stability regions for saturated linear systems via conjugate Lyapunov functions.

Tingshu Hu, Zongli Lin, Rafal Goebel, Andrew R. Teel

Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Dissipativity for dual linear differential inclusions through conjugate storage functions.

Rafal Goebel, Andrew R. Teel, Tingshu Hu, Zongli Lin

Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

Stabilizing linear systems with saturation through optimal control.

Rafal Goebel

Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003

A factorization approach to C¹ stabilization of nonlinear triangular systems.

Dragan B. Dacic, Rafal K. Goebel, Petar V. Kokotovic

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002

Convexity in Zero-Sum Differential Games.

Rafal Goebel

SIAM J. Control. Optim., 2002

Hamiltonian dynamical systems for convex problems of optimal control: implications for the value function.

Rafal Goebel

Proceedings of the 41st IEEE Conference on Decision and Control, 2002