In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
In this paper, we study the stability and the stabilisation of 2 0 discrete linear systems with multiple state delays. All of the new results obtained are based on analysis of the...
Wojciech Paszke, Krzysztof Galkowski, James Lam, S...
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterize...
— This paper presents a novel control strategy based on a non-smooth Lyapunov function to guarantee the stability of the system in the whole motion space. Three control laws that...