We analyse the stability of the input-output behaviour of a recurrent network. It is trained to implement an operator implicitly given by the chaotic dynamics of the Roessler attractor. Two of the attractors coordinate functions are used as network input and the third defines the reference output. Using recently developed new methods we show that the trained network is input-output stable and c...

Abstract The paper presents a methodology for analyzing the stability of formations of interconnected vehicles that are based on leader-follower relations. The methodology exploits input-to-state stability properties of basic leader-follower interconnections and builds on the propagation of these properties throughout the network to establish global stability bounds. This is formalized using th...

Background: Impairment of cervical sensory input in patients with neck pain may disturb postural stability. The purpose of present study was to assess the dynamic postural stability of subjects with chronic neck pain compared to a matched control group.    Methods: In this case-control study, 22 chronic non-specific neck pain and 22 healthy individuals participated. Postural stabilit...

It is known that, if an equilibrium of a nonlinear system has a stability property when an external input is frozen, then the property is maintained under the input being slowly varying. In this paper, we show that the same stability property is preserved not only under slowly varying input but also under slowlyvarying-average input (which is not actually slowly varying but its ‘average’ is slo...

In this paper, a new smooth second order sliding mode control is proposed. This algorithm is a modified form of Super Twisting algorithm. The Super Twisting guarantees the asymptotic stability, but the finite time stability of proposed method is proved with introducing a new particular Lyapunov function. The Proposed algorithm which is able to control nonlinear systems with matched structured u...

In this paper, a chattering-free sliding-mode control is mainly proposed in a second-order discrete-time system. For achieving this purpose, firstly, a suitable control law would be derived by using the discrete-time Lyapunov stability theory and the sliding-mode concept. Then the input constraint is taken into account as a saturation function in the proposed control law. In order to guarantee ...

The stabilization problem for a class of nonlinear cascaded systems is solved using bounded control. It is shown that global asymptotic stability (GAS), local exponential stability (LES) and input to state stability (ISS) with nonzero restrictions of a stable cascade can be achieved via a simple static partial state feedback having bounded amplitude. A new class of stabilizing control laws for ...

This paper presents a survey on the ex isting methods for the stability analysis of fuzzy control systems including both conventional Mamdani s rule based fuzzy controllers and Takagi Sugeno controllers The overview considers several approaches including input output stability frequency response methods Lyapunov techniques and qualitative methods The paper also sumarizes the new stability techn...

a memory control for t-s fuzzy discrete-time systems with sto- chastic input delay is proposed in this paper. dierent from the common assumptions on the time delay in the existing literatures, it is assumed in this paper that the delays vary randomly and satisfy some probabilistic dis- tribution. a new state space model of the discrete-time t-s fuzzy system is derived by introducing some stocha...

a method for solving the descriptor discrete-time linear system is focused. for easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. in partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...