Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

The CPA method uses linear programming to compute Continuous and Piecewise Affine
Lyapunov functions for nonlinear systems with asymptotically stable equilibria. In [14] it was …

Cone-copositive piecewise quadratic Lyapunov functions (PWQ-LFs) for the stability
analysis of continuous-time piecewise affine (PWA) systems are proposed. The state space …

Asymptotic stability of continuous-time piecewise affine systems defined over a polyhedral
partition of the state space, with possible discontinuous vector field on the boundaries, is …

This paper proposes a design scheme along with stability analysis of a new adaptive
backstepping controller designed for permanent magnet synchronous generator-based wind …

State-dependent switched systems characterized by piecewise affine (PWA) dynamics in a
polyhedral partition of the state space are considered. Sufficient conditions on the vectors …

This paper analyses stability of discrete-time piecewise-affine systems, defined on possibly
non-invariant domains, taking into account the possible presence of multiple dynamics in …

This paper investigates exponential stability and hybrid L 2 h-gain performance for a class of
hybrid systems. A novel Lyapunov function composed of two max functions, one describing …

Continuous, piecewise affine (CPA) functions can be algorithmically parameterized to
deliver Lyapunov functions for compact invariant sets. We discuss flexible structures and …

In this paper, a Lyapunov-based method is provided to study the local asymptotic stability of
planar piecewise affine systems with continuous vector fields. For such systems, the state …