Title :
On coprime factorizations for parallel interconnections of systems
Author_Institution :
Corp. Res. & Dev., Gen. Electr. Co., Schenectady, NY, USA
fDate :
9/1/1993 12:00:00 AM
Abstract :
This note is an extension of previous work that gave conditions under which the series or parallel interconnection of two linear, time-invariant systems is completely controllable and observable. Our contribution here presents explicit formulas for the coprime factors of the parallel interconnection in terms of the coprime factors for the constituent subsystems. The resulting characterization has applications to the study of reliability in control systems
Keywords :
control system analysis; controllability; linear systems; matrix algebra; observability; redundancy; reliability theory; state-space methods; control systems; coprime factorizations; linear systems; parallel interconnections; parallel interconnections of systems; reliability; time-invariant systems; Automatic control; Control systems; Integrated circuit interconnections; Linear programming; Multi-layer neural network; Neural networks; Parallel robots; Predictive control; Robot control; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
