Recently, echo state network (ESN) has attracted a great deal of attention due to its high accuracy and efficient learning performance. Compared with the traditional random structure and classical sigmoid units, simple circle topology and leaky integrator neurons have more advantages on reservoir computing of ESN. In this paper, we propose a new model of ESN with both circle reservoir structure...

In this paper we formally describe the hybrid integrator-gain system (HIGS), which is a nonlinear integrator designed to avoid limitations typically associated with linear integrators. The HIGS keeps sign of its input and output equal, thereby inducing less phase lag than integrator, much like famous Clegg integrator. achieves reduced by projection controller dynamics instead using resets state...

We present a structure preserving numerical algorithm for the collision of elastic bodies. Our integrator is derived from a discrete version of the field-theoretic (multisymplectic) variational description of nonsmooth Lagrangian continuum mechanics, combined with generalized Lagrange multipliers to handle inequality constraints. We test the resulting explicit integrator for the longitudinal im...

This paper presents a framework for global stabilization of inherently nonlinear systems that may not be smoothly stabilizable but stabilizable by continuous state feedback. A systematic design method which combines homogeneous systems theory with the idea of adding a power integrator is developed for the explicit construction of C globally stabilizing controllers. The signi cance of the new fr...

In molecular dynamics simulations, an integrator-induced resonance is observed for conservative molecular system subject to the classical equations of motion when a Verlet integrator or Implicit Midpoint scheme is used. In this report, an existing variational integrator with adaptive timesteps is introduced to handle resonance. This Symplectic-Energy-Momentum (SEM) preserving algorithm is first...

In this paper, we investigate few memristor-based analog circuits namely the phase shift oscillator, integrator, and differentiator which have been explored numerously using the traditional lumped components. We use LTspice-IV platform for simulation of the abovesaid circuits. The investigation resorts to the nonlinear dopant drift model of memristor and the window function portrayed in the lit...

This note deals with chained form systems with strongly nonlinear unmodeled dynamics and external disturbances. The objective is to design a robust nonlinear state feedback law such that the closed-loop system is globally -exponentially stable. We propose a novel switching control strategy involving the use of input/state scaling and integrator backstepping. The new features of our controllers ...