## System theory: a unified state-space approach to continuous and discrete systems |

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adjoint algebraically equivalent analog computer apply Banach spaces basis block diagram canonical form capacitor Chapter column complete component Consider continuous-time systems corresponding defined definition denote derivative diagonal differential equation discrete-time system dynamic eigenvalues eigenvectors EXERCISES FOR SECTION exists exponential feedback finite formula given graph H(sl impulse response initial condition inner product inner product space integral invertible Laplace transform Lemma linear combination linear map linear system linear transformation linearly independent loop mathematical matrices F multiplication norm notation notion observable operator output pair polynomial proof properties Prove reachable reader real numbers realization representation result scalar Section 6-3 shown in Figure signal simple solution solve specify stability subspace Suppose system F system of Figure system theory Theorem time-invariant trajectory transfer function transition function transition matrix unique variables vector space verify voltage write yields zero input