Robust stabilization to limit cycles of switching discrete-time affine systems using control Lyapunov functions

Abstract—The main goal of this article is to show that the class of systems described by a planar differential equation having a rational proper Lyapunov function

The focus of this paper will be on the design of the feedforward action in order to intro- duce the anticipative effect with respect to known future val- ues of the reference

Homogeneous dynamical systems have a number of very useful properties for system analysis, control design and estimation.. In particular, the local and global behaviours are the

Perruquetti, “Sliding mode control design for mimo systems: Implicit lyapunov function approach,” in European Control Conference (ECC), 2014, pp. Levant, “On fixed and finite

Abstract— The problem of output control design for linear system with unknown and time-varying input delay, bounded exogenous disturbances and bounded deterministic measure- ment

The work in this paper is in the same spirit. We generalize the approach in several directions. In [26] consideration is given to the stabilization of linear systems by relay feed-

As an alternative to solving a linear programming problem, in [9] we proposed a new approach to compute a CPA Lyapunov function for continuous-time systems us- ing a function in

For discontinuous discrete-time dynamics, the equivalence between the two types of ISS-Lyapunov functions fails to hold as the existence of an implication-form ISS-Lyapunov function