Logo

Stability Analysis via Matrix Functions Method

Small book cover: Stability Analysis via Matrix Functions Method

Stability Analysis via Matrix Functions Method
by

Publisher: Bookboon
ISBN-13: 9788740304466
Number of pages: 257

Description:
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations). Applications are provided with stability issues of ordinary differential equations, singularly perturbed systems, and stochastic differential equations up to some applications to so-called real world situations.

Home page url

Download or read it online for free here:
Download link 1
Download link 2

(multiple PDF files)

Similar books

Book cover: Around the Boundary of Complex DynamicsAround the Boundary of Complex Dynamics
by - arXiv
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced...
(2221 views)
Book cover: Chaos TheoryChaos Theory
by - InTech
With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.
(735 views)
Book cover: Perturbation Theory of Dynamical SystemsPerturbation Theory of Dynamical Systems
by - arXiv
These are lecture notes for undergraduate Mathematics and Physics students. They cover a few selected topics from perturbation theory at an introductory level: Bifurcations and Unfolding; Regular Perturbation Theory; Singular Perturbation Theory.
(2491 views)
Book cover: Geometrical Theory of Dynamical SystemsGeometrical Theory of Dynamical Systems
by - arXiv
This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.
(6125 views)