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State space consistency and differentiability / by Demetrios Serakos.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Serakos, Demetrios, Author.
- Series:
- SpringerBriefs in Optimization, 2190-8354
- Language:
- English
- Subjects (All):
- Calculus of variations.
- Statistical physics.
- Dynamics.
- Functional analysis.
- Mechanics.
- Mechanics, Applied.
- Differential equations.
- Algebra.
- Field theory (Physics).
- Calculus of Variations and Optimal Control; Optimization.
- Complex Systems.
- Functional Analysis.
- Theoretical and Applied Mechanics.
- Ordinary Differential Equations.
- Field Theory and Polynomials.
- Local Subjects:
- Calculus of Variations and Optimal Control; Optimization.
- Complex Systems.
- Functional Analysis.
- Theoretical and Applied Mechanics.
- Ordinary Differential Equations.
- Field Theory and Polynomials.
- Physical Description:
- 1 online resource (79 p.)
- Edition:
- 1st ed. 2014.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2014.
- Language Note:
- English
- Summary:
- 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. .
- Contents:
- 1. Introduction
- 2. Preliminaries
- 3. Some state space properties
- 4. State differentiability properties in input-output systems
- 5. Summary and conclusion.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- ISBN:
- 3-319-14469-3
- OCLC:
- 908090306
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