Hybrid modeling and simulation of genetic regulatory networks
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Brief Equivalence of hybrid dynamical models
Automatica (Journal of IFAC)
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The paper considers a class of continuous affine systems with oscillating behaviour due to the presence of pairs of complex eigenvalues in the spectrum of the system matrix. The control problem consists of damping the oscillations and tracking a piecewise constant reference signal. A control solution is proposed, based on pole placement combined with the internal model principle. Sufficient conditions for the controller existence are deduced and some issues concerning fixed and variable step simulations approaches are discussed. The results can be extended to piecewise affine hybrid systems, composed of a set of piecewise affine systems and a switching strategy based on a state space partition.