In this paper, a robust neural network control scheme for the switching dynamical model of the robotic manipulators has been addressed. Radial basis function (RBF) neural networks are employed to approximate unknown functions of robotic manipulators and a compensation controller is designed to enhance system robustness. The weight update law of the robotic manipulator is based on switched multi...

In this study, some stability and robust conditions for switched positive linear systems in which all subsystems are unstable continuous time discrete were obtained using the Φ-dependent dwell technique discretized co-positive Lyapunov functions approach, respectively. The constructed study of during time, after that, they independent time. addition, above method was applied to switched-interva...

In this preliminary work, we propose to use a polynomial approach in order to study the stability of switched systems. The proposed strategy is based on the Bernstein interpolation method that may transform a switched system into a polynomial expression from which an associated ”simple” Lyapunov function can be eventually built. The HOL Light proof assistant allows verifying formally the Lyapun...

This paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of subh functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analysis yields several improvements over previous methods and opens up new possibilities, including th...

Hybrid systems are digital real-time systems which are embedded in analog environment. Analog part of the hybrid system is described with differential equations and discrete part of the hybrid systems is an event driven dynamics which can be described using concept from discrete event systems (Cassandras & Lafortune, 2008) and (Tabuada, 2009). In this paper we will consider the switched systems...

This paper addresses the stabilization issues for a class of uncertain switched neutral systems with nonlinear perturbations. Based on new classes of piecewise Lyapunov functionals, the stability assumption on all the main operators or the convex combination of coefficient matrices is avoid, and a new switching rule is introduced to stabilize the neutral systems. The switching rule is designed ...

In this paper, the problem of finding a stabilizing feedback controller for single input single output switched systems of order two is addressed. To ensure stability under arbitrary switching, the existence of a common Lyapunov function (CLF) needs to be established. A method for establishing the existence of CLFs, given suitable feedback controllers, is presented. The method presented here is...

A convex approach is proposed to deal with switched discrete-time systems with time-varying delays. It uses a parameter dependent Lyapunov-Krasovskii functional that allows to assure the robust stability or the robust stabilization of a switched system for arbitrary switching functions. The analysis and the design conditions are formulated as simple feasibility tests of linear matrix inequaliti...

The stability for the switched Cohen-Grossberg neural networks with mixed time delays and αinverse Hölder activation functions is investigated under the switching rule with the average dwell time property. By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality LMI technique, a delay-dependent sufficient criterion is achieved to ensure such switched neural netw...