×

The problem of absolute invariance for control systems with delay. (Russian) Zbl 1064.93016

The authors prove a theorem for the existence of invariant universal regulators for which it is necessary to fulfill two preconditions. The first one asks for a solution to the equation \[ B(\lambda)S(\lambda) = F(\lambda) \] to be like \[ (\lambda) = \rho^{-1}(\lambda)P(\lambda), \] where \(\rho(\lambda)\) is a Hurwitz polynomial and \(P(\lambda)\) is the matrix quasipolynomial. The second condition supposes the existence of at least one stabilizing regulator.

MSC:

93B51 Design techniques (robust design, computer-aided design, etc.)
93D15 Stabilization of systems by feedback
93C80 Frequency-response methods in control theory
93C23 Control/observation systems governed by functional-differential equations
PDFBibTeX XMLCite