This paper investigates the problem of observer design for a class of nonlinear systems with timedelay and uncertain nonlinearity. Firstly, using the Mean-value Theorem and combining constructing the Lyapunov-Krasovskii functional, the convergence conditions of nonlinear observer for a class of nonlinear systems with time-varying delay and uncertain nonlinearity are established in terms of a li...

This paper extends the Prony method to the identification of a class of fuzzy systems parameterized by a set of time-varying parameters. The Prony formulation is an optimal solution minimizing the fluctuation effects while accurately estimating the time-varying system parameters. A closed-form and efficient algorithm for adaptively calculating the time-varying parameters is derived. This soluti...

In this paper we present partial stability results; that is, stability with respect to part of the system's state, for nonlinear dynamical systems. Using these results we provide a rigorous uni cation between partial stability theory for autonomous systems and stability theory for nonlinear time-varying systems. This uni cation allows for time-varying stability theory to be presented as a speci...

Abstract This paper addresses the adaptive passivation of multi-input multi-output (MIMO) non-linear systems,with unknown parameters. The class of MIMO non-linear systems considered here has an explicit linear parametric uncertainty and it is made equivalent to a passive system by means of an adaptive controller with adaptive laws specially designed, which include suitable time-varying gains. T...