So, drawing from:
Linear Control Systems Analysis and Design
Conventional and Modern
Third Edition
John D'Azzo and Constantine Houpis
1988
Development of Digital Aircraft Controls
SAS - Stability Augmentation System
CAS - Command Augmentation System
FBW - Fly By Wire
DFCS - Digital Flight Control System
Laplace Transform and 1932 Nyquist paper on steady-state frequency-response techniques for feedback amplifier design.
Work by Black, H. S. 1934
Bode, H. W. 1945
Hall, A. C. 1946
Harris, H. 1946
Nyquist, H. 1932
Talks about writing system equations, usually LTI, Linear Time Invariant
Talks about Lagrange's Equation
Talks about every kind of system, even electromagnetic with capacitive coupling. Talks about hydraulic actuators.
Talks about thermal, modeled as a circuit, capacitor being charged by a voltage source through a resistor. Then they add a second resistor and capacitor to show heat transfer to something more remote. You could add another resistor, a bleeder, to account for heat losses beyond this.
DeRusso, P. M. et al "State Variables for Engineers", Wiley 1965
State variables for engineers [by] Paul M. DeRusso, Rob J. Roy [and] Charles M. Close (1965)
Blackburn J. F. ed "Components Handbook" McGraw-Hill 1948 ( a book of this type this old would be trip to look at )
Wylie, C. R. jr "Advanced Engineering Mathematics" 4th ed, McGraw-Hill 1975
Wylie, Clarence Raymond, 1911- Advanced engineering mathematics, first edition 1951, only 640 pages
Kinariwala, B. et al "Linear Circuits and Computation" 1973
Gantmacher, F. R. "Applications of the Theory of Matrices" 1959
Gantmakher, F. R. (Feliks Ruvimovich) Applications of the theory of matrices / Translated and rev. by J. L. Brenner, with the assistance of D. W. Bushaw and S. Evanusa New York : Interscience Publishers, 1959
Kalman, R. E. "Mathematical Description of Lineal Dynamical Systems" paper , 1963
^^^ a NASA big wig and a leader in the movement to Stochastic Controls, and for filtering and even for phased locked loops
Kalman, R. E. (Rudolf Emil), 1930-
Topics in mathematical system theory [by] R. E. Kalman, P. L. Falb [and] M. A. Arbib
New York : McGraw-Hill, [1969]
https://en.wikipedia.org/wiki/Rudolf_E._K%C3%A1lm%C3%A1nThe Kalman Filter
http://www.cs.unc.edu/~welch/kalman/