Differential equations projector analysis on time scales

This book presents a projector analysis of dynamic systems on time scales. The dynamic systems are classified as first, second, third and fourth kinds. For each classes of dynamic systems the basic matrix chains are constructed. The proposed theory is applied for decoupling of dynamic equations on t...

Full description

Bibliographic Details
Main Author: Georgiev, Svetlin G.
Other Authors: Zennir, Khaled
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2024, ©2024
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Description
Summary:This book presents a projector analysis of dynamic systems on time scales. The dynamic systems are classified as first, second, third and fourth kinds. For each classes of dynamic systems the basic matrix chains are constructed. The proposed theory is applied for decoupling of dynamic equations on time scales. Properly involved derivatives, constraints and consistent initial values for the considered equations are defined. A linearization for nonlinear dynamic systems is introduced and the total derivative for regular linearized equations with tractability index one is investigated
Physical Description:X, 461 pages
ISBN:978-3-11-137715-5
978-3-11-137771-1