الصفحة 1
الصفحة 1
Topics in Uniform Approximation of Continuous Functions
Presents the evolution of uniform approximations of continuous functions. Starting from the simple case of a real continuous function defined on a closed real interval, i.e., the Weierstrass approximation theorems, it proceeds up to the abstract case of approximation theorems in a locally convex lattice of (M) type.In turn, the book presents the approximation of continuous functions defined on a locally compact space (the functions from a weighted space) and that of continuous differentiable functions defined on ¡n. In closing, it highlights selected approximation theorems in locally convex lattices of (M) type.
Polynomial and Rational Matrices : Applications in Dynamical Systems Theory
Matrices are effective tools for the modelling and analysis of dynamical systems. Professor Kaczorek gives an overview of new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. The book is self-contained, beginning with important basics such as the Cayley–Hamilton theorem and definitions and elementary operations of polynomial and rational matrices and moving on to cover such topics as: Normal matrices (including their realisation); rational and algebraic polynomial matrix equations / perfect observers for and realisation of linear systems; and / new results on positive linear discrete- and continuous-time systems with delays.
