Abstract : This book is devoted to the study of a class of nonsmooth dynamical systems of the general form:
$$
\begin{align}
&\dot{x}(t)=g(x(t),u)\\
&f(x,t)\geq 0
\end{align}
$$
where $x(t)\in \mathbb{R}^n$ is the system’s state vector, $u \in\mathbb{R}^{n_u}$ is the vector of inputs, and the function $f$ represents a set of $m_u$ unilateral constraints which are imposed on the system.