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Approximation of Transfer Functions of Unstable Infinite Dimensional Control Systems by Rational Interpolants with Prescribed Poles

✍ Scribed by G. López Lagomasino; Angel Ribalta

Book ID
110235353
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
199 KB
Volume
61
Category
Article
ISSN
0167-8019

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📜 SIMILAR VOLUMES

Approximation of Transfer Functions of I
Approximation of Transfer Functions of Infinite Dimensional Dynamical Systems by Rational Interpolants with Prescribed Poles
✍ Angel Ribalta Stanford; Guillermo López Lagomasino 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 171 KB

Rational interpolants with prescribed poles are used to approximate holomorphic functions on the closure of their region of analyticity under natural assumptions of their properties on the boundary. The transfer functions of some infinite dimensional dynamical systems of interest in applications sat

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✍ Gaetano Fichera 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 473 KB

From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha