Theorems on the bounds of solutions of semi-state models

Vladimir B. Bajić; Mirko M. Milić

doi:10.1080/00207178608933507

Theorems on the bounds of solutions of semi-state models

Vladimir B. Bajić, Mirko M. Milić

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8 Scopus citations

Abstract

Theorems are proved that give necessary and sufficient conditions for solutions of semi-state models to be appropriately bounded on finite and infinite time intervals. For a non-linear subclass of models considered, as well as for general time-varying linear semi-state models, necessary and sufficient conditions reduce to the test of semi-definiteness or definiteness of a time-dependent matrix.

Original language	English (US)
Pages (from-to)	859-867
Number of pages	9
Journal	International Journal of Control
Volume	43
Issue number	3
DOIs	https://doi.org/10.1080/00207178608933507
State	Published - Mar 1986
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1080/00207178608933507

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abstract = "Theorems are proved that give necessary and sufficient conditions for solutions of semi-state models to be appropriately bounded on finite and infinite time intervals. For a non-linear subclass of models considered, as well as for general time-varying linear semi-state models, necessary and sufficient conditions reduce to the test of semi-definiteness or definiteness of a time-dependent matrix.",

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AB - Theorems are proved that give necessary and sufficient conditions for solutions of semi-state models to be appropriately bounded on finite and infinite time intervals. For a non-linear subclass of models considered, as well as for general time-varying linear semi-state models, necessary and sufficient conditions reduce to the test of semi-definiteness or definiteness of a time-dependent matrix.

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DO - 10.1080/00207178608933507

M3 - Article

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EP - 867

JO - International Journal of Control

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IS - 3

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Theorems on the bounds of solutions of semi-state models

Abstract

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