
The control problem is formulated in terms of interconnections. The interconnections of linear time-invariant systems are studied from this point of view. Two main results are obtained. Any polynomial can be obtained as the characteristic polynomial of an interconnection with a given plant, provided the plant is not autonomous. Any subsystem of a controllable system can be implemented by means of a singular feedback control law. These ideas are finally applied to the stabilization of a nonlinear system around an operating point.
LINEAR-SYSTEM, invariant polynomials, behaviors, pole placement, linear systems, TIME-SERIES, feedback, regular interconnection, Feedback control, interconnections, singular feedback, controllability, stabilization, Linear systems in control theory, linear time-invariant, interconnection, Pole and zero placement problems
LINEAR-SYSTEM, invariant polynomials, behaviors, pole placement, linear systems, TIME-SERIES, feedback, regular interconnection, Feedback control, interconnections, singular feedback, controllability, stabilization, Linear systems in control theory, linear time-invariant, interconnection, Pole and zero placement problems
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