This document is a reference guide to the Xyce Parallel Electronic Simulator, and is a companion document to the Xyce Users' Guide. The focus of this document is (to the extent possible) exhaustively list device parameters, solver options, parser options, and other usage details of Xyce. This document is not intended to be a tutorial. Users who are new to circuit simulation are better served by the Xyce Users' Guide. Trademarks The information herein is subject to change without notice.

The problem of stabilizing a second order SISO LTI system of the formẋ = Ax + Bu, y = Cx with feedback of the form u(x) = v(x)Cx is considered, where v(x) is realvalued and has domain which is all of R 2. It is shown that, when stabilization is possible, v(x) can be chosen to take on no more than two values throughout the entire state space (i.e., v(x) ∈ {v 1, v2} for all x and for some v1, v2), and an algorithm for finding a specific choice of v(x) is presented. It is also shown that the classical root locus of the corresponding transfer function C(sI −A) −1 B has a strong connection to this stabilization problem, and its utility is demonstrated through several design examples.

Our previous work has been devoted to designing asymptotically stabilizing switching controllers for a class of second order LTI plants. Here, we extend the results of our previous work by proving that, when a plant can be asymptotically stabilized using a particular switching architecture, the overall closed-loop interconnection is also finite L2 gain stable. We shall first prove this result for a simplified problem in which a portion of the switching architecture has full access to the state of the plant and shall then extend to the case where the architecture only has access to the plant output by designing an appropriate observer.

No abstract