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DISTRIBUTIONAL INPUTS AND HIGH GAIN FEEDBACK
LpALMOST CONTROLLED INVARIANT SUBSPACES
ALMOST DISTURBANCE DECOUPLING WITH BOUNDED PEAKING
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ADDP ADDPBP ADDPM algorithm approximate arbitrarily small Assume asymptotically stable Ax(t Bohl distributional Bu(s characterizations closed loop system conditionally invariant subspace conditions for solvability consider controllability subspace controlled invariant subspaces converges COROLLARY decomposition defined definition denote detectability subspace direct sum disturbance decoupling problem dynamic order equal equivalent fact feedback mappings follows immediately frequency domain functions HAUTUS initial condition integers ker H L^-almost disturbance decoupling L^-norm Laplace transform left-invertible LEMMA linear mapping linear space linear system mapping F minimum phase input modulo Moreover Note observability subspace obtain output p-solvable phase input subspace PID-observer proof of TH proper rational prove rational functions rational matrix RmXp(s satisfies 2.27 SCHUMACHER sequel sequence singly sliding subspace spectrum stability set stabilizability subspace strictly proper subset subspace contained subspace inclusion sufficient conditions supremal system A,B THEOREM Tq(s trajectories transfer matrix vectors WILLEMS WONHAM zero