State Space Consistency and Differentiability

• Main Author: Serakos, Demetrios (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Optimization,
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Functional analysis.; Differential equations.; Calculus of variations.; Statistical physics.; Dynamical systems.; Mechanics.; Mechanics, Applied.; Calculus of Variations and Optimal Control; Optimization.; Statistical Physics, Dynamical Systems and Complexity.; Functional Analysis.; Theoretical and Applied Mechanics.; Ordinary Differential Equations.; Field Theory and Polynomials.

By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of...

Table of Contents:

• 1. Introduction
• 2. Preliminaries
• 3. Some state space properties
• 4. State differentiability properties in input-output systems
• 5. Summary and conclusion.