Algebraic control theory for linear multivariable systems |
Contents
ALGEBRAIC CONTROL THEORY | 9 |
Linear time invariant systems | 32 |
An equivalence relation | 79 |
Copyright | |
4 other sections not shown
Common terms and phrases
A-generalized polynomial matrix A-stable A₁ A₂ bijective chapter closed loop system column degrees column proper Corollary D₁ decoupling zeros defined definition described determine discrete time systems disturbance equal equations equivalence relation euclidean domain follows from theorem form in q fractional representation Furthermore given gives input Insert invariant factors Laurent polynomial matrix left A-structure matrix left divisor lemma linear map linearly independent columns linearly independent rows M₁ monic polynomials nomial nonsingular nonzero nullspace obtained output P₁ q P₁(q poles polynomial basis principal ideal domain problem Proof qI-A rational functions relatively left prime right A-invertible right A-structure matrix Rosenbrock 1970 satisfying servo shown Smith form solution standard polynomial form subspace Suppose system in figure system matrix theorem 2.6 tion transfer function U₁ unimodular matrix unimodular polynomial matrix unique unstable region V₁ variables vector Y₁