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Controllability and observability of RLC networks over F(z)

ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), 2003
RLC networks are a class of important linear systems. This paper discusses the problem of controllability and observability of RLC networks over the field F(z) of rational functions in independently variable parameters. In order to do this, some separability and reducibility criteria are presented.
Kunsheng Lu, Kai-Sheng Lu
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Separability and reducibility criteria of RLC networks overFz and their applications

International Journal of Circuit Theory and Applications, 1998
The authors establish criteria for separability of RLC networks based on a simple structural property of the coefficients of the state and output equations of the network. The separability of the network is then related to the reducibility of the characteristic polynomial of the network. Some simple applications are given.
Kai-Sheng Lu, Kunsheng Lu
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Formulation of state equations in active RLC networks

IEEE Transactions on Circuits and Systems, 1974
The derivation of state equations in linear active RLC networks is considered and a computer-oriented algorithm for their formulation is given. In this work, the dependent sources are assumed to be controlled by other sources as well as the passive elements, and it is shown that all the state variables still can be chosen among inductor currents and ...
O. Tosun, A. Dervisoglu
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Normal modes in RLC networks

Proceedings of the IEEE, 1969
A simple, unified theory of normal mode analysis of networks is presented. Unlike previous treatments, the present treatment does not rely on any particular method of formulation of equilibrium equations, nor on any detailed results of matrix theory. Rather, it is based on Tellegen's theorem, an elementary consequence of the Kirchhoff laws.
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A Hamiltonian formulation for complete nonlinear RLC-networks

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1997
In this brief a new Lagrangian and Hamiltonian formulation for complete nonlinear RLC-networks is given. The formalism makes use of the explicit construction of Brayton and Moser's "mixed potential function" (1964) and therefore explicitly reveals the close connection between the Brayton-Moser equations and Hamiltonian formalisms for dissipative ...
L. Weiss, W. Mathis
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Bashkow's 'A Matrix for Active RLC Networks'

IEEE Transactions on Circuit Theory, 1964
Abstract : In 1957 Bashkow described a new method of networkanalysis. According to this method if voltages across capacitances and currents through in-ductances are used as dependent variables, a set of first order differential equations is obtainedas, y = A y + F in which y is the column matrixof dependent variables and F represents thesources. Bryant
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Transient Response of RLC Networks Revisited

IETE Journal of Education, 2003
As compared to the conventional approach of trial solutions for solving the differential equation governing the transient response of RLC networks, we present here a different approach which is tot...
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RLC network synthesis of the optoelectronic conversion of photodiodes

2012 6th International Conference on Sciences of Electronics, Technologies of Information and Telecommunications (SETIT), 2012
Commonly the transfer function of the photodiodes is modeled as an equation which describes the generation of the electron-hole pairs and the drift of the carriers in the depletion layer. Using a network synthesis, the ideal frequency response of a MSM, Metal-Semiconductor-Metal Photodiode, is described as a simple RLC electrical circuit.
Mustapha Djebari, Mohamed Behih
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Trajectories of nonlinear RLC networks: A geometric approach

IEEE Transactions on Circuit Theory, 1972
The response of a nonlinear time-varying coupled RLC network starting from a given operating point is considered. We view the response as motion occurring in a differentiable manifold \Sigma in R^{2b} \times R_{+} , where b is the number of branches. We impose two basic manifold conditions (MC) on the network.
C. Desoer, F. Wu
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Order of complexity of rlc networks containing a reactive gyrator

International Journal of Circuit Theory and Applications, 1975
AbstractUsing a particular expansion of the network determinant, a simple formula is derived giving the total number of natural frequencies of a passive RLC network containing a reactive gyrator. The order of complexity is expressed in terms of the degrees of the polynomials in the gyration impedance and the alteration in the network topology due to ...
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