This paper investigates the proportional-integral-derivative (PID) control of positive systems in discrete-time case. First, a tuning parameter is introduced to construct framework systems. The problem thus transformed into synthesis with time-delay. By virtue matrix decomposition approach, gain matrices controller are designed. Using co-positive Lyapunov functions and linear programming, posit...

In-silico control of complex stochastic biological systems is a promising area cybergenetics, which provides enabling theoretical and practical tools for the real-time living cells with digital computers. We demonstrate here that simple proportional-integral laws can be used to both mean variance expression product gene network. Extensions more general unimolecular networks, networks input dela...

The tracking of a given voltage in the traditional double closed-loop proportional integral control current power grid simulator has problems such as static difference, delay and oscillation. It is proposed that outer loop inner inverter side adopt quasi-proportional resonance respectively, topology adopts cascaded modular design to establish single-phase model. Compared with proportional-integ...