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 …

This work proposes an approach to replace the use of a robust control invariant set by a pair
of simpler sets that provide an inner and an outer approximation of the former. In the …

This paper presents an alternative approach for obtaining a converse Lyapunov theorem for
discrete-time systems. The proposed approach is constructive, as it provides an explicit …

In this paper, we propose a Multi-step multiple Lyapunov-like functions (MLF s) based
approach to prove the stability and asymptotic stability of discrete-time switched systems …

Asymptotic stability of time-varying switched systems is investigated in this paper. The less
conservative sufficient criteria for asymptotic stability of time-varying discrete-time switched …

This work introduces a novel and simple way of designing MPC schemes that ensure
practical stability under less restrictive assumptions than those of existing approaches. The …

This paper presents an efficient suboptimal model predictive control (MPC) algorithm for
nonlinear switched systems subject to minimum dwell time constraints (MTC). While MTC …

We study discrete time linear constrained switching systems with additive disturbances, in
the general setting where the switching acts on the system matrices, the disturbance sets …

This paper proposes a novel construction of the terminal cost and terminal set in stabilizing
model predictive control that uses finite-step Lyapunov functions and finite-step invariant …

In this paper ISS small-gain theorems for discrete-time systems are stated, which do not
require input-to-state stability (ISS) of each subsystem. This approach weakens …