We provide a novel robust stability analysis for moving horizon estimation (MHE) using Lyapunov function. Additionally, we introduce linear matrix inequalities (LMIs) to verify the necessary incremental input/output-to-state ( $\boldsymbol{\delta }$</in...

This paper addresses the problem of verifying stability of networks whose subsystems admit dissipation inequalities of integral input-to-state stability (iISS). We focus on two ways of constructing a Lyapunov function satisfying a dissipation inequality of a given network. Their difference from one another is elucidated from the viewpoint of formulation, relation, fundamental limitation and cap...

In this paper, a new approach for the stability analysis of continuous-time Takagi–Sugeno (T-S) fuzzy system is proposed. The universe set is divided to subregions, and piecewise quadratic Lyapunov function is then found for each of them. This class of Lyapunov function candidates is much richer than the common quadratic Lyapunov function. By exploiting the piecewise continuous Lyapunov functio...

In this monograph we develop an algorithm for constructing Lyapunov functions for arbitrary switched dynamical systems ẋ = fσ(t,x), possessing a uniformly asymptotically stable equilibrium. Let ẋ = fp(t,x), p ∈ P, be the collection of the ODEs, to which the switched system corresponds. The number of the vector fields fp on the right-hand side of the differential equation is assumed to be finite...