The characteristic equation of a control system is given by s6+2s5+8s4+12s3+20s2+16s+16=0 . The number of the roots of the equation which lie on the imaginary axis of s-plane:

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Digital Control Systems topics include: Signal reconstruction, z transform, z-transfer function, equations, z and s domain relationship, stability analysis and compensation techniques. A digital control system (DCS) uses a computer to process signals from sensors and control a system or process. DCSs are a mix of discrete-time and continuous-time behavior. They can be in the form of a microcontroller, ASIC, or standard desktop computer.  DCSs have several advantages over other control systems, including: Improved process control: DCSs use advanced control algorithms, such as PID control,... Show more

The characteristic equation of a control system is given by s<sup>6</sup>+2s<sup>5</sup>+8s<sup>4</sup>+12s<sup>3</sup>+20s<sup>2</sup>+16s+16=0 . The number of the roots of the equation which lie on the imaginary axis of s-plane: