This paper proposes three different distributedevent-triggered control algorithms to achieve leader-followerconsensus for a network of Euler-Lagrange agents. We firstlypropose two model-independent algorithms for a subclass ofEuler-Lagrange agents without the vector of gravitational po-tential forces. By model-independent, we mean that each agentcan execute its algorithm...

Parameters a, b, c, and α are introduced to form the Bernoulli-type, Euler-type Genocchi-type polynomilas where is order of polynomial a positive integer. Ana- lytic methods used here obtain Fourier series for these polynomials.

This paper discusses the identification of dynamic parameters of an industrial robot KUKA KR5 with all revolute joints and serial architecture. For this, the simplified model of the robot was taken into account by considering only those joints which normally operates orthogonal to the gravity vector. The first approach used for finding the dynamic parameters of this simplified model was by form...

In the present paper we address a nonlinear singular H1 sub-optimal control problem for a rigid spacecraft with actuator dynamics. Using recent results from nonlinear H1 control theory , we nd an explicit feedback solution involving the Euler parameters. Our solution is based on a solution to a corresponding nonlinear regular H1 suboptimal control problem for a rigid spacecraft with three contr...

We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type tran...

This paper presents, an efficient approach for solving Euler-Lagrange Equation which arises from calculus of variations. Homotopy analysis method to find an approximate solution of variational problems is proposed. An optimal value of the convergence control parameter is given through the square residual error. By minimizing the square residual error, the optimal convergence-control parameters ...

Asymptotic approximation formulas for polynomials of the type Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi with integer order real parameters are obtained via hyperbolic functions. The derivation is done using principle saddle point expansion appropriate function about a point.