This book concerns the numerical simulation of dynamical systems whose trajec-ries may
not be differentiable everywhere. They are named nonsmooth dynamical systems. They …

This paper describes the Hybrid Equations (HyEQ) Toolbox implemented in Matlab/Simulink
for the simulation of hy-brid dynamical systems. This toolbox is capable of comput-ing …

High-gain proportional-integral-derivative (PID) position control involves some risk of unsafe
behaviors in cases of abnormal events, such as unexpected environment contacts and …

Nonsmooth Modeling and Simulation for Switched Circuits concerns the modeling and the
numerical simulation of switched circuits with the nonsmooth dynamical systems (NSDS) …

The dynamic Nash equilibrium problem with shared constraints (NEPSC) involves a
dynamic decision process with multiple players, where not only the players' cost functionals …

Hard constraints are represented by inequalities. Hard constraints occur frequently in
practical systems and their models; these hard constraints are often used in optimization …

The following five classes of hybrid systems were recently proven to be equivalent: linear
complementarity, extended linear complementarity, mixed logical dynamical systems …

Complementarity systems consist of ordinary differential equations coupled to
complementarity conditions. They form a class of nonsmooth dynamical systems that is of …

This paper analyzes the existence and uniqueness issues in a class of multivalued Lur'e
systems, where the multivalued part is represented as the subdifferential of some convex …

This paper gives an introduction to the field of dynamical complementarity systems. A
summary of their main applications and properties together with connections to other hybrid …