Linear Time Varying G-C Networks: Stable and Unstable
- 1 June 1963
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 10 (2) , 180-190
- https://doi.org/10.1109/tct.1963.1082121
Abstract
This paper studies the stability of linear time varying conductance-capacitance networks. Several sets of sufficient conditions for their stability are given. In particular, instability can occur only if both the G matrix and the C matrix are time varying. In the limit of very large pump frequencies, the stability of periodic piecewise constant networks is determined by a simple relation. The design of unstable G-C networks is explained and illustrated by two examples. In the second example theqvector (whose components are sums of charges on condensers in certain cut sets) has components that behave like sine waves modulated by increasing exponentials.Keywords
This publication has 1 reference indexed in Scilit:
- Control system analysis and design via the second method of lyapunov: (I) continuous-time systems (II) discrete time systemsIRE Transactions on Automatic Control, 1959