State space consistency and differentiability [electronic resource] / Demetrios Serakos.

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State space consistency and differentiability [electronic resource] / Demetrios Serakos.

9783319144696 electronic book
3319144693 electronic book
9783319144689

Cham : Springer, [2014]

©2014

English

1 online resource.

10.1007/978-3-319-14469-6 doi

QA402

515.39

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.

Includes bibliographical references.

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Description based on print version record.

SpringerBriefs in optimization.

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