Reachability analysis consists in computing the set of states that are reachable by a
dynamical system from all initial states and for all admissible inputs and parameters. It is a …

This paper introduces the concept of a hybrid system and some of the challenges associated
with the stability of such systems, including the issues of guaranteeing stability of switched …

Model Predictive Control (MPC), the dominant advanced control approach in industry over
the past twenty-five years, is presented comprehensively in this unique book. With a simple …

Cyber-physical systems (CPSs) are the next generation of engineered systems in which
computing, communication, and control technologies are tightly integrated. Research on …

Formal verification provides a high degree of confidence in safe system operation, but only if
reality matches the verified model. Although a good model will be accurate most of the time …

l\lany systems encountered in practice involve a coupling between contin uous dynamics
and discrete events. Systems in which these two kinds of dynamics coexist and interact are …

We summarize several recent results about hybrid automata. Our goal is to demonstrate that
concepts from the theory of discrete concurrent systems can give insights into partly …

We present a general framework for the formal specification and algorithmic analysis of
hybrid systems. A hybrid system consists of a discrete program with an analog environment …

KeYmaera X is a theorem prover for differential dynamic logic (), a logic for specifying and
verifying properties of hybrid systems. Reasoning about complicated hybrid systems models …

Abstract dReach is a bounded reachability analysis tool for nonlinear hybrid systems. It
encodes reachability problems of hybrid systems to first-order formulas over real numbers …