Case of Studies Systems

This book provides methods to unify different approaches to tackle stability theory problems. In particular, it presents a methodology to blend approaches obtained from measure theory with methods obtained from Lyapunov’s stability theory. The author summarizes recent works on how different analysis/design methods can be unified and employed for systems that do not belong to either of domains of validity.

Navigating Security Threats and Defenses in AI Systems

by Andrew Clark (Author), Basel Alomair (Author), Linda Bushnell (Author), Radha Poovendran (Author), John Baillieul (Foreword)
Addresses key design criteria for networked systems within a unifying analytical framework
Introduces submodular functions and optimization, developing them to be scalable for large-scale systems and applying them to control theory
Illustrates the approach with application-based case studies

This book covers normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, and offers a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry.

In order to perform effective analysis of today’s information security systems, numerous components must be taken into consideration. This book presents a well-organized, consistent solution created by the author, which allows for precise multilevel analysis of information security systems and accounts for all of the significant details.