Theory of Stability for Important Classes of Dynamical Systems. A Treatise with Significant Improvements Compared to Results by the Lyapunov Method, Reihe: Computational and Applied Mathematics, Bd. 2

Ludwig Kohaupt

ISBN 978-3-8325-5896-3
302 Seiten, Erscheinungsjahr: 2025
Preis: 34.00 €

This work explores dynamical systems and pertinent mathematics. One of its main objectives is to demonstrate that by using functional-analytic methods, it is possible to obtain a unified treatment of the Theory of Dynamical Systems. The important classes of Dynamical Systems that are treated in this book are Linear Autonomous Systems, Linear Periodic Systems, and Nonlinear Systems, such as Quasi-Linear Systems with Autonomous or Periodic Linear Part.

It also contains two-sided bounds on the solution of stability problems leading to new results and significant improvements compared to results obtained by the Lyapunov method. The Lyapunov method shortcomings in predicting the stability of certain dynamical systems are overcome in this book by the state-space description of the associated differential equations, the special weighted norm $left