In this paper, we formulate and analyze a new model for solving optimal control problems governed by Volterra integro-differential equations. The control and state variables are approximated by using monic Chebyshev series. The optimal control problem is reduced to a constrained optimization problem. Numerical examples are solved to show good ability and accuracy of the present approach.

This paper presents experimental characterization, simulation, and Volterra series based analysis of intermodulation linearity on a high-k/metal gate 28 nm RF CMOS technology. A figure-of-merit is proposed to account for both VGS and VDS nonlinearity, and extracted from frequency dependence of measured IIP3. Implications to biasing current and voltage optimization for linearity are discussed.

In this series of lectures, starting from a single logistic equation, I will describe the interactions between diffusion and spatial heterogeneity in Lotka-Volterra competition systems. Various phenomena in mathematical ecology will be compared in both homogeneous and inhomogeneous environments. Directed movements will be considered as well. Two-component Gross-Pitaevskii functionals Professor ...

In this paper the problem of finite input/output representation of a special class of nonlinear Volterra polynomial systems is studied via the notion of linear factorization of b-series. This is an algebraic method based mainly on the star-product operation and on a related Euclidean-type algorithm. 01997 Elsevier Science Ltd. All rights reserved.

We propose a new interpolatory framework for model reduction of largescale bilinear systems. The input-output representation of a bilinear system in frequency domain involves a series of multivariate transfer functions, each representing a subsystem of the bilinear system. If a weighted sum of these multivariate transfer functions associated with a reduced bilinear system interpolates a weighte...

This paper presents an operator calculus approach to computing with non-commutative variables. First, we recall the product formulation of formal exponential series. Then we show how to formulate canonical boson calculus on formal series. This calculus is used to represent the action of a Lie algebra on its universal enveloping algebra. As applications, Hamilton's equations for a general Hamilt...

in this paper, a nonlinear volterra-fredholm integral equation of the first kind is solved by using the homotopy analysis method (ham). in this case, the first kind integral equation can be reduced to the second kind integral equation which can be solved by ham. the approximate solution of this equation is calculated in the form of a series which its components are computed easily. the accuracy...

In this paper, a nonlinear Volterra-Fredholm integral equation of the first kind is solved by using the homotopy analysis method (HAM). In this case, the first kind integral equation can be reduced to the second kind integral equation which can be solved by HAM. The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The accuracy...

This work introduces a new approach for modelling sea surface current from AVISO/Altimeter satellite data. This is based on utilizing of the Volterra series expansion in order to transform the time series of Merged Sea Level Anomaly satellite altimetry data into a real ocean surface current. The basic equation of hydrodynamic has been solved by first order Volterra model. Then, the Volterra ker...

Abstract The discrete gradient methods are integrators designed to preserve invariants of ordinary differential equations. From a formal series expansion subclass these methods, we derive conditions for arbitrarily high order. We specific results the average vector field gradient, from which get P-series in general case, and B-series canonical Hamiltonian systems. Higher order schemes presented...