Electrical impedance tomography is a procedure by which one nds the conductivity distribution inside a domain from measurements of voltages and currents at the boundary. This work addresses the issue of stability and resolution limit of such an imaging device. We consider the realistic case where only a nite number of measurements are available. An important feature of our approach, which is ba...

Recently, Angeli1 has proposed the concept of incremental input-to-state stability, which can be viewed as an extension of the well-known input-to-state stability to the context of incremental stability. In this note, we show how the concept is connected with fading memory that has played a central role in the problem of uniformly approximating input-output nonlinear maps. Specifically, we show...

We consider an integral variational control system on a Banach space X and we study the connections between its uniform exponential stability and the I R , X , O R , X stability, where I andO are Banach function spaces. We identify the viable classes of input spaces and output spaces related to the exponential stability of systems and provide optimization techniques with respect to the input sp...

Analytical analysis of the structure of fuzzy controllers is important as it provides insightful information and makes it possible to eliminate or reduce the trial-and-error effort in system design. Most results available in the literature only deal with the fuzzy controllers using up to three input variables (i.e. PI, PD, or PID type with the input space being three dimensional at most). In th...

This paper is concerned with a delay-dependent sliding mode scheme for the robust stabilization of input-delay systems with bounded unknown uncertainties. A sliding surface based on a predictor is proposed to minimize the effect of the input delay. Then, a robust control law is derived to ensure the existence of a sliding mode on the surface. In input-delay systems, uncertainties given during t...

This paper studies various stability issues for parameterized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control applications. A Lyapunov-theoretic necessary and sufficient characterization is obtained for a natural notion of robust uniform set stability; this characterization allows replacing ad hoc condition...

This paper studies various stability issues for parametrized families of systems, including problems of stabilization with respect to sets. The study of such families is motivated by robust control applications. A Lyapunov-theoretic necessary and sufficient characterization is obtained for a natural notion of robust uniform set stability; this characterization allows replacing ad hoc conditions...

This note gives results about the preservation of some dissipative properties of systems under a change of variables. In the textbooks it is not mentioned explicitly the relationship between the equations associated with the dynamics of a system and the selected Lyapunov function to establish its stability property, when a change of coordinates is used. Based on the fact that Lyapunov stability...

This paper is concerned with the problem of robust stability for both continuous and discrete singular delay systems by applying input-output approach other than traditional Lyapunov’s second method. First, based on the small gain theorem, the notion of input-output stability is developed. Then delay-dependent robust stability criteria in terms of strict linear matrix inequality (LMI) are deriv...