Nabla time scale symplectic systems and related quadratic functionals (Q609441)
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scientific article; zbMATH DE number 5821553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nabla time scale symplectic systems and related quadratic functionals |
scientific article; zbMATH DE number 5821553 |
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Nabla time scale symplectic systems and related quadratic functionals (English)
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30 November 2010
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The authors present the theory of nabla time scale symplectic systems focusing on conditions characterizing the positivity and non-negativity of the quadratic functionals associated with such systems. A difference in properties of delta time scale and nabla time scale systems is discovered in special cases of both continuous linear Hamiltonian systems and discrete symplectic systems.
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time scale
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time scale symplectic system
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nabla derivative
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nabla dynamic equation
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quadratic functional
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controllability
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normality
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Riccati equation
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linear Hamiltonian system
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discrete Hamiltonian system
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