Differential-algebraic systems are generically controllable and stabilizable
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AbstractWe investigate genericity of various controllability and stabilizability concepts of linear, time-invariant differential-algebraic systems. Based on well-known algebraic characterizations of these concepts (see the survey article by Berger and Reis (in: Ilchmann A, Reis T (eds) Surveys in differential-algebraic equations I, Differential-Algebraic Equations Forum, Springer, Berlin, pp 1–61. 10.1007/978-3-642-34928-7_1)), we use tools from algebraic geometry to characterize genericity of controllability and stabilizability in terms of matrix formats.
2002 ◽
Vol 49
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pp. 1646-1648
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2004 ◽
Vol 43
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pp. 1251-1259
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2013 ◽
Vol 34
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pp. 1631-1654
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2015 ◽
Vol 78
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pp. 40-46
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2003 ◽
Vol 42
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pp. 6607-6618
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2021 ◽
pp. 014233122110159
1966 ◽
Vol 11
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pp. 577-579
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