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General decentralized stabilization of large-scale linear continuous and discrete time-delay systems. (English) Zbl 0634.93062

We consider the general stabilization problem of linear time-invariant, large-scale multivariable decentralized systems with delays. We have established sufficient stabilization conditions for a general class of decentralized systems. Namely, in the continuous case the requirement is that the matrix measure of the closed-loop subsystem matrices can be made sufficiently negative by appropriate local feedback control, whereas in the discrete case the requirement is that the norm of the closed-loop subsystem matrices can be made arbitrarily small by feedback control.

MSC:

93D15 Stabilization of systems by feedback
93A15 Large-scale systems
93C05 Linear systems in control theory
34K35 Control problems for functional-differential equations
93C55 Discrete-time control/observation systems
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References:

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[7] DOI: 10.1016/0022-247X(84)90270-1 · Zbl 0534.93041
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