Rafal Goebel

Publication Activity (10 Years)

Years Active: 2002-2023
Publications (10 Years): 13

Top Topics

Top Venues

Syst. Control. Lett.

Publications

Rafal Goebel
A direct proof of Conley's decomposition for well-posed hybrid inclusions. Syst. Control. Lett. 180 (2023)
Rafal Goebel
Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter. IEEE Trans. Autom. Control. 68 (6) (2023)
Andrew R. Teel, Rafal Goebel, Ricardo G. Sanfelice
Multi-Channel Hybrid Time Domains and Clustering Protocols for Large-Scale Interconnections. CDC (2023)
Matteo Della Rossa, Rafal Goebel, Aneel Tanwani, Luca Zaccarian
Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems. Math. Control. Signals Syst. 33 (1) (2021)
Rafal Goebel, Ricardo G. Sanfelice
A unifying convex analysis and switching system approach to consensus with undirected communication graphs. Autom. 111 (2020)
Matteo Della Rossa, Rafal Goebel, Aneel Tanwani, Luca Zaccarian
Almost Everywhere Conditions for Hybrid Lipschitz Lyapunov Functions. CDC (2019)
Rafal Goebel, Ricardo G. Sanfelice
Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno. SIAM J. Control. Optim. 56 (2) (2018)
Rafal Goebel, Ricardo G. Sanfelice
Applications of convex analysis to consensus algorithms, pointwise asymptotic stability, and its robustness. CDC (2018)
Rafal Goebel
Stability and robustness for saddle-point dynamics through monotone mappings. Syst. Control. Lett. 108 (2017)
Rafal Goebel
Optimal control for pointwise asymptotic stability in a hybrid control system. Autom. 81 (2017)
Mirko Brentari, Paolo Bosetti, Rafal Goebel, Luca Zaccarian
Robust time-sub-optimal control of the saturated double integrator applied to attitude stabilization. CDC (2017)
Rafal Goebel, Ricardo G. Sanfelice
How well-posedness of hybrid systems can extend beyond Zeno times. CDC (2016)
Rafal Goebel
Results on optimal stabilization of a continuum of equilibria. CDC (2016)
Rafal Goebel
Linear systems with conical constraints and convex Lyapunov functions in the framework of convex processes. CDC (2014)
Rafal Goebel
Results on robust stability and feedback stabilization for systems with a continuum of equilibria. CDC (2014)
Teymur Sadikhov, Wassim M. Haddad, Rafal Goebel, Magnus Egerstedt
Set-valued protocols for almost consensus of multiagent systems with uncertain interagent communication. ACC (2014)
Rafal Goebel
Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria. Syst. Control. Lett. 65 (2014)
Andrew R. Teel, Rafal Goebel, Benjamin Morris, Aaron D. Ames, Jessy W. Grizzle
A stabilization result with application to bipedal locomotion. CDC (2013)
Rafal Goebel
Lyapunov Functions and Duality for Convex Processes. SIAM J. Control. Optim. 51 (4) (2013)
Emmanuel N. Barron, Rafal Goebel, Robert R. Jensen
Functions Which Are Quasiconvex under Linear Perturbations. SIAM J. Optim. 22 (3) (2012)
Rafal Goebel
Set-valued Lyapunov functions for difference inclusions. Autom. 47 (1) (2011)
Rafal Goebel
The value function for the Linear-Quadratic Regulator with conical control constraints. CDC (2010)
Rafal Goebel, Andrew R. Teel
Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems. SIAM Rev. 52 (1) (2010)
Rafal Goebel
Basic results on pointwise asymptotic stability and set-valued Lyapunov functions. CDC (2010)
Rafal Goebel, Christophe Prieur, Andrew R. Teel
Smooth patchy control Lyapunov functions. Autom. 45 (3) (2009)
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianfu Wang
The Proximal Average: Basic Theory. SIAM J. Optim. 19 (2) (2008)
Ricardo G. Sanfelice, Andrew R. Teel, Rafal Goebel
Supervising a family of hybrid controllers for robust global asymptotic stabilization. CDC (2008)
Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel
Invariance principles for switching systems via hybrid systems techniques. Syst. Control. Lett. 57 (12) (2008)
Rafal Goebel, Andrew R. Teel
Lyapunov characterization of Zeno behavior in hybrid systems. CDC (2008)
Chaohong Cai, Rafal Goebel, Andrew R. Teel
Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets. IEEE Trans. Autom. Control. 53 (3) (2008)
Rafal Goebel, Andrew R. Teel
Zeno behavior in homogeneous hybrid systems. CDC (2008)
Christophe Prieur, Rafal Goebel, Andrew R. Teel
Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems. IEEE Trans. Autom. Control. 52 (11) (2007)
Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel
Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability. IEEE Trans. Autom. Control. 52 (12) (2007)
Chaohong Cai, Andrew R. Teel, Rafal Goebel
Results on existence of smooth Lyapunov functions for (pre-)asymptotically stable hybrid systems with non-open basins of attraction. ACC (2007)
Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel
Hybrid systems techniques for convergence of solutions to switching systems. CDC (2007)
Chaohong Cai, Andrew R. Teel, Rafal Goebel
Smooth Lyapunov Functions for Hybrid Systems - Part I: Existence Is Equivalent to Robustness. IEEE Trans. Autom. Control. 52 (7) (2007)
Rafal Goebel, Christophe Prieur, Andrew R. Teel
Smooth patchy control Lyapunov functions. CDC (2006)
Ricardo G. Sanfelice, Andrew R. Teel, Rafal Goebel, Christophe Prieur
On the robustness to measurement noise and unmodeled dynamics of stability in hybrid systems. ACC (2006)
Rafal Goebel, Andrew R. Teel, Tingshu Hu, Zongli Lin
Conjugate convex Lyapunov functions for dual linear differential inclusions. IEEE Trans. Autom. Control. 51 (4) (2006)
Rafal Goebel, Andrew R. Teel
Solutions to hybrid inclusions via set and graphical convergence with stability theory applications. Autom. 42 (4) (2006)
Chaohong Cai, Andrew R. Teel, Rafal Goebel
Results on relaxation theorems for hybrid systems. CDC (2006)
Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel
A Feedback Control Motivation for Generalized Solutions to Hybrid Systems. HSCC (2006)
Rafal Goebel
Convex Optimal Control Problems with Smooth Hamiltonians. SIAM J. Control. Optim. 43 (5) (2005)
Rafal Goebel, Andrew R. Teel
Results on solution sets to hybrid systems with applications to stability theory. ACC (2005)
Chaohong Cai, Andrew R. Teel, Rafal Goebel
Converse Lyapunov theorems and robust asymptotic stability for hybrid systems. ACC (2005)
Ricardo G. Sanfelice, Rafal Goebel, Andrew R. Teel
Results on convergence in hybrid systems via detectability and an invariance principle. ACC (2005)
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli Lin
Conjugate Lyapunov functions for saturated linear systems. Autom. 41 (11) (2005)
Christophe Prieur, Rafal Goebel, Andrew R. Teel
Results on robust stabilization of asymptotically controllable systems by hybrid feedback. CDC/ECC (2005)
Rafal Goebel, Maxim V. Subbotin
Continuous time constrained linear quadratic regulator - convex duality approach. ACC (2005)
Rafal Goebel
Stabilizing a linear system with Saturation Through optimal control. IEEE Trans. Autom. Control. 50 (5) (2005)
Rafal Goebel, Andrew R. Teel, Tingshu Hu, Zongli Lin
Dissipativity for dual linear differential inclusions through conjugate storage functions. CDC (2004)
Rafal Goebel
Stabilizing linear systems with saturation through optimal control. CDC (2004)
Tingshu Hu, Zongli Lin, Rafal Goebel, Andrew R. Teel
Stability regions for saturated linear systems via conjugate Lyapunov functions. CDC (2004)
Rafal Goebel
Hamiltonian dynamical systems for convex problems of optimal control: implications for the value function. CDC (2002)
Rafal Goebel
Convexity in zero-sum differential games. CDC (2002)
Rafal Goebel
Convexity in Zero-Sum Differential Games. SIAM J. Control. Optim. 40 (5) (2002)