A comprehensive introduction to hybrid control systems and design Hybrid control systems
exhibit both discrete changes, or jumps, and continuous changes, or flow. An example of a …

Motivated by the lack of systematic tools to obtain safe control laws for hybrid systems, we
propose an optimization-based framework for learning certifiably safe control laws from data …

The need for robust control laws is especially important in safety-critical applications. We
propose robust hybrid control barrier functions as a means to synthesize control laws that …

This paper studies the stabilization and safety problems of nonlinear time-delay systems.
Following both Razumikhin and Krasovskii approaches, we propose novel control Lyapunov …

This article presents converse theorems for safety in terms of barrier functions for
unconstrained continuous-time systems modeled as differential inclusions. Via a …

Verifying set invariance has classical solutions stemming from the seminal work by Nagumo,
and defining sets via a smooth barrier function constraint inequality results in computable …

We consider the problem of enforcing safety in multi‐input systems with distinct input delays
via the use of Control Barrier Functions (CBFs). For systems with input delay (s), a popular …

Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both
continuous states and discrete switchings. Safety is a primary concern for hybrid robotic …

Abstract Control Barrier Functions (CBFs) have become popular for enforcing—via barrier
constraints—the safe operation of nonlinear systems within an admissible set. For systems …

One of the most challenging aspects of nonsmooth analysis is to overcome
nondifferentiability. A possible approach is to use the generalized notions of the classical …