System Structure: A Symposium of the IEEE Control Systems SocietyA. S. Morse |
Contents
DECOMPOSITION THEORY FOR AUTOMATA AND BIOLOGICAL SYSTEMS by | 1 |
ALGEBRAIC DECOMPOSITION METHODS FOR NONLINEAR SYSTEMS by | 57 |
ALGEBRAIC METHODS IN LINEAR MULTIVARIABLE CONTROL by | 89 |
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Common terms and phrases
A.W. Burks addition admissible input affine Algebra Decomposition Algebraic Structure algorithm Automata Theory Automatic Control B)-invariant bilinear map canonical realization cascade Cellular Automata characterization theorem commutes congruence decomposed decomposition theory define definition denote discrete-time element equivalence classes example external description Figure finite function f given f Group Decomposition homomorphism ideal implies input functions input sequences irreducible Krohn-Rhodes Krohn-Rhodes theory LEMMA Lie algebra Lie Group Decomposition linear systems M.A. Arbib M₁ M₂ machine matrix algebra memory functions minimal monoid multilinear systems multiplication Myhill n₂ nonlinear normal subgroup obtain output R.E. Kalman reachable reader response function S₁ S₂ Schreier extension semidirect product semigroup equation semigroup extensions simulates solution solvable state-space stationarity string subalgebra subset subspace system theory time-invariant system vector space w₁ w₂ Wei-Norman wreath product X₁ Zeiger zero-state