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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 ALGOL 60 algorithm approximate arbitrarily small Assume asymptotically asymptotically stable Ax(t Bohl distributional characterizations closed loop system coasting subspace 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 equation equivalent fact feedback mappings follows immediately frequency domain HAUTUS initial condition integers ker H L^-almost controllability L^-norm Laplace transform left-invertible LEMMA linear mapping linear space linear system mapping F minimum phase input modulo Moreover Note observability subspace obtain p-solvable phase input subspace PID-observer proof of TH prove rational functions rational matrix RmXp(s RmXr(s satisfies 2.27 SCHUMACHER sequel sequence sliding subspace solvable spectrum stability set stabilizability subspace strictly proper subset subspace inclusion sufficient conditions system A,B THEOREM trajectories transfer matrix u)-representation vectors WILLEMS WONHAM zero