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Transformation of Linear Time-Dependent Observation Systems with Scalar Output to Frobenius Canonical Forms
A. Astrovskii, I. Gaishun (2011)
Canonical forms of linear nonstationary observation systems with quasidifferentiable coefficients with respect to various transformation groupsDifferential Equations, 47
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Teoriya upravleniya dvizheniem
A. Astrovskii, I. Gaishun (2010)
Quasidifferentiability and canonical forms of linear nonstationary observation systemsDifferential Equations, 46
AI Astrovskii, IV Gaishun (2011)
A Relationship between Canonical Forms of Linear Differential Observation Systems and the Canonical Forms of Their Discrete ApproximationsDiffer. Uravn., 47
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Canonical Forms of Linear Nonstationary Observation Systems with Quasidifferentiable Coefficients with Respect to Various Transformation GroupsDiffer. Uravn., 47
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AI Astrovskii, IV Gaishun (2009)
Quasidifferentiability and Observability of Linear Time-Dependent SystemsDiffer. Uravn., 45
AI Astrovskii, IV Gaishun (2010)
A Method for Constructing the Frobenius Canonical Forms of Linear Nonstationary Observation SystemsDiffer. Uravn., 46
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A. Astrovskii, I. Gaishun (2010)
Method for constructing frobenius canonical forms of linear nonstationary observation systemsDifferential Equations, 46
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Vvedenie v teoriyu lineinykh nestatsionarnykh sistem (Introduction to the Theory of Linear Nonstationary Systems
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Teoriya upravleniya dvizheniem (Theory of Control of Motion: Linear Systems)
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Translated under the title Obyknovennye differentsial'nye uravneniya
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Lineinye differentsial'nye uravneniya s peremennymi koeffitsientami
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Degrees of Controllability in Time-Variable
A. Astrovskii, I. Gaishun (2011)
Relationship between canonical forms of linear differential observation systems and canonical forms of their discrete approximationsDifferential Equations, 47
L. Silverman, H. Meadows (1967)
Controllability and Observability in Time-Variable Linear SystemsSiam Journal on Control, 5
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Nonoscillation of Solutions of Linear Quasidifferential Equation
AI Astrovskii, IV Gaishun (2010)
Quasidifferentiability and Canonical Forms of Linear Nonstationary Observation SystemsDiffer. Uravn., 46
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Lineinye differentsial’nye operatory (Linear Differential Operators)
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Ordinary Differential Equations.American Mathematical Monthly, 67
We suggest a method for studying the controllability of linear nonstationary systems of ordinary differential equations. The method is based on the quasidifferentiability of the coefficients with respect to a specially constructed lower-triangular matrix. This approach permits substantially weakening the well-known smoothness conditions imposed on the coefficients when stating controllability criteria.
Differential Equations – Springer Journals
Published: Nov 7, 2013
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