Analysis of Discrete Physical Systems |
Contents
Systems Concepts and the First Postulate | 5 |
Positive Definite Matrices | 10 |
Mathematical Models of Typical Twoterminal Components | 40 |
Copyright | |
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algebraic asymptotically stable C₁ characteristic polynomial chords coefficient matrix column complex connected graph Consider constant constituent matrices contains cotree curve cut-set equations defined derivative Determine diagram differential equations driver edges corresponding eigenvalues electrical network entries established evaluated Example excitation vector expansion fi(t follows Fourier series Fourier transform frequency frequency spectrum frequency-response characteristics fs(t fundamental circuit fundamental cut-set G₁ given in Eq given in Fig graph G homogeneous hydraulic incidence matrix input interval inverse is(t K₁ K₂ Laplace transform magnitude minimal polynomial nonlinear nonsingular obtained P₁ parameters phase angle plane plot positive definite R₁ rational function represent response characteristics scalar shown in Fig sinusoidal solution stability steady-state subgraph system graph t₁ terminal equations terminal graph terminal variables Theorem tion tree two-terminal components V₁ v₁(t vertex vertices voltage z transform zero λε λι