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State Space Consistency and Differentiability

✍ Scribed by Demetrios Serakos (auth.)


Publisher
Springer International Publishing
Year
2014
Tongue
English
Leaves
79
Series
SpringerBriefs in Optimization
Edition
1
Category
Library

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✦ Synopsis


​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 the natural state; the first has to do with the possibility of determining the input-output system from its natural state set and the second deals with differentiability properties involving the natural state inherited from the input-output system, including differentiability of the natural state and natural state trajectories. The results presented in this title aid in modeling physical systems since system identification from a state set holds in most models. Researchers and engineers working in electrical, aerospace, mechanical, and chemical fields along with applied mathematicians working in systems or differential equations will find this title useful due to its rigorous mathematics.​

✦ Table of Contents


Front Matter....Pages i-xi
Introduction....Pages 1-3
Preliminaries....Pages 5-11
Some State Space Properties....Pages 13-21
State Differentiability Properties in Input–Output Systems....Pages 23-38
Summary and Conclusions....Pages 39-39
Back Matter....Pages 41-72

✦ Subjects


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


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