Nonlinear dynamical control systems
Nonlinear dynamical control systems
Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
Advanced Control System Design
Advanced Control System Design
Analysis and Design of Analog Integrated Circuits
Analysis and Design of Analog Integrated Circuits
Feedback Control Theory
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In this paper, a method is presented to design and control the oscillation in circuits. In fact a mathematical approach will be presented to design the circuits called oscillator. The presented method is done in state space domain using the state variables of the circuit. The presented method is much easier than other classic methods for example to equal the open loop transfer function with minus one which is done in Laplace domain. At the first part of the paper, the behavior of limit cycles in second-order autonomous system will be analyzed based on the behavior of some appropriate equipotential curves which will be considered around the same limit cycles. In fact two sets of equipotential curves are considered so that a set has a role as the upper band of the system trajectories and another set plays a role as the lower band. It will be shown that the stability of the limit cycles in system can be assessed using the behavior of these two set of equipotential curves.