In this paper, the decentralized control of generalized systems will be considered via a frequency domain approach. Firstly, Based on the design of generalized decentralized observer-based controllers, a state-space representation of the decentralized Bezout identity is developed for generalized...

In this paper, the concept of the instability degree in the dimension of spaces of bivariate spline is presented. The dimension of spaces of bivariate splines on the Morgan-Scott triangulation are considered. The dimension of the space of splines with degree 2 and with smoothness order known to...

We show that the classical renewal theorems of Feller hold in the case of a system of renewal equations, when the distributions involved are supported on the whole real line. We extend Feller's methods and also use Perron-Frobenius theory and potential theory.On généralise les théorèmes de...

In this paper the sufficient condition for a graph to be Hamiltonian and non-Hamiltonian are discussed. Some simple results on tree with permanent of A(T) and X(T). If G is a Bipartite graph with #X = #Y = n such that per A(G) = (n!), then G is a complete bipartite graph. Also some results in...

In this paper we establish two results concerning completely positive graphs and their complements: (1) The complement of a completely positive graph on ≥ 9 vertices is not completely positive. (2) The spectral radius of the adjacency matrix of a completely positive graph on ≥ 6 vertices is...

By combining the standard units of measurement (namely, length, time and mass) and the usual kinematical vectors (namely, position, velocity and acceleration), by means of the dot and cross products and the Langrange's identity, two significant concepts: ‘maccel' and ‘energy' are regenerated...

We examine the problem of Automatic Programming, in which a computer program is generated from a nonprocedural definition of the desired functionality. We propose a system in which programs are represented by 1st order Predicate Calculus wffs. A set of 8 universal rules of inference is...

We propose a new definition of geodesic completeness, based on analytical continuation in the complex domain: we apply this idea to Clifton-Pohl torus, relating, for each geodesic, completeness to the value of a function of initial conditions, called ‘impulse'