In this paper, we consider the problem of constrained tracking of piecewise constant references for nonlinear dynamical systems. In the considered problem we assume that an existing controller satisfies constraints in a corresponding positive-invariant set of the system. To solve the problem we propose the use of homothetic transformations of the positive-invariant set to modify the existing co...

on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.

Wireless sensor networks (WSN) have become a significant technology in recent years. They can be widely used in many applications. WSNs consist of a large number of sensor nodes and each of them is energy-constrained and low-power dissipation. Most of the sensor nodes are tiny sensors with small memories and do not acquire their own locations. This means determining the locations of the unknown...

The analysis of Discrete Event Systems suffer from the well known state explosion problem. A classical technique to overcome this problem is to relax the behaviour by partially removing the integrality constraints, thus dealing with hybrid or continuous systems. In the Petri nets framework, continuous net systems (technically hybrid systems) are the result of removing the integrality constraint...

We show that the black hole perturbations of the Hayward static solution to the massless Einstein-Klein-Gordon equations are actually gauge artifacts resulting from the linearization of a coordinate transformation. In a recent paper [1], Hayward discussed a homothetic, static solution to the massless Einstein-Klein-Gordon equations. With the spherically symmetric ansatz ds = rdΩ − 2edxdx (1) (w...

In this paper, we study 3-dimensional compact and connected trans-Sasakian manifolds find necessary sufficient conditions under which these are homothetic to Sasakian manifolds. First, four results in paper deal with finding on a manifold be manifold, the fifth result deals condition manifold. Finally, simply Einstein