The process of designing analogue circuits is formulated as a controlled dynamic system. For analysis of such system's properties it is suggested to use the concept of Lyapunov's function for a dynamic system. Various forms of Lyapunov's function are suggested. Analyzing the behavior of Lyapunov's function and its first derivative allowed us to determine significant correlation between this function's properties and processor time used to design the circuit. Numerical results prove the possibility of forecasting the behavior of various designing strategies and processor time based on the properties of Lyapunov's function for the process of designing the circuit.
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Alexander M. ZEMLIAK, "Dynamic Characteristics Analysis of Analogue Networks Design Process" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 2, pp. 652-657, February 2009, doi: 10.1587/transfun.E92.A.652.
Abstract: The process of designing analogue circuits is formulated as a controlled dynamic system. For analysis of such system's properties it is suggested to use the concept of Lyapunov's function for a dynamic system. Various forms of Lyapunov's function are suggested. Analyzing the behavior of Lyapunov's function and its first derivative allowed us to determine significant correlation between this function's properties and processor time used to design the circuit. Numerical results prove the possibility of forecasting the behavior of various designing strategies and processor time based on the properties of Lyapunov's function for the process of designing the circuit.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.652/_p
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@ARTICLE{e92-a_2_652,
author={Alexander M. ZEMLIAK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Dynamic Characteristics Analysis of Analogue Networks Design Process},
year={2009},
volume={E92-A},
number={2},
pages={652-657},
abstract={The process of designing analogue circuits is formulated as a controlled dynamic system. For analysis of such system's properties it is suggested to use the concept of Lyapunov's function for a dynamic system. Various forms of Lyapunov's function are suggested. Analyzing the behavior of Lyapunov's function and its first derivative allowed us to determine significant correlation between this function's properties and processor time used to design the circuit. Numerical results prove the possibility of forecasting the behavior of various designing strategies and processor time based on the properties of Lyapunov's function for the process of designing the circuit.},
keywords={},
doi={10.1587/transfun.E92.A.652},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Dynamic Characteristics Analysis of Analogue Networks Design Process
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 652
EP - 657
AU - Alexander M. ZEMLIAK
PY - 2009
DO - 10.1587/transfun.E92.A.652
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2009
AB - The process of designing analogue circuits is formulated as a controlled dynamic system. For analysis of such system's properties it is suggested to use the concept of Lyapunov's function for a dynamic system. Various forms of Lyapunov's function are suggested. Analyzing the behavior of Lyapunov's function and its first derivative allowed us to determine significant correlation between this function's properties and processor time used to design the circuit. Numerical results prove the possibility of forecasting the behavior of various designing strategies and processor time based on the properties of Lyapunov's function for the process of designing the circuit.
ER -