Nonregressivity in switched linear circuits and mechanical systems

Authors:
Robert J. Marks Ii;Ian A. Gravagne;John M. Davis;Jeffrey J. Dacunha
Affiliations:
Department of Engineering, Baylor University, Waco, TX 76798, United States;Department of Engineering, Baylor University, Waco, TX 76798, United States;Department of Mathematics, Baylor University, Waco, TX 76798, United States;Department of Mathematics, United States Military Academy, West Point, NY 10996, United States and US Army Research Laboratory, Aberdeen Proving Grounds, Adelphi, MD 20783, United States
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2006

Citing 2
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Abstract

We analyze several examples of switched linear circuits and a switched spring-mass system to illustrate the physical manifestations of regressivity and nonregressivity for discrete and continuous time systems as well as hybrid discrete/continuous systems from a time scales perspective. These examples highlight the role that nonregressivity plays in modeling and applications, and they point out a fascinating dichotomy between purely continuous systems and discrete, continuous, or hybrid systems. We conclude with a physically realizable null space criterion for inducing nonregressivity.