Stability analysis of nonlinear control systems with characteristics equations having complex coefficients

In this paper, the stability equation method is applied to the analysis of nonlinear systems with characteristics equations having complex coefficients. Three types of systems are studied: those with unstable open-loop poles, unstable characteristics roots or an equal number of open-loop poles and zeros.     

PPBS in higher education planning and management: Part II,the university of California experience

Part I provided an overview of PPBS, some discussion of PPBS implementation in the U.S. government, and a review of the arguments for adopting PPBS in postsecondary education and the various kinds of work that have been done toward this end. In part II, we discuss the experience of the University of California with PPBS from 1966 to 1971. Part III, to be published subsequently, will suggest some new departures in model construction and policy analysis which we believe represent a useful spirit in which further development can and should occur, and will also contain some general concluding observations.

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Résumé Dans la première partie, publiée antérieurement, on trouvait les principes généraux du PPBS (Program Planning Budgeting Systems) une discussion rapide de la mise en oeuvre du PPBS par les autorités gouvernementals aux Etats-Unis, quelques uns des arguments qui militent en faveur de l'adoption du PPBS dans l'enseignement post-secondaire ainsi que ce qui a été entrepris à cette fin. Dans la deuxième partie, nous soumettons à la discussion ce qu'a été l'expérience de l'Université de Californie en matière de PPBS de 1966 à 1971. La troisième partie, qui sera publiée ensuite, proposera quelques points de départ nouveaux pour la construction du modèle directeur et l'analyse des politiques; nous pensons qui'il s'agit là d'un point de vue utilisable qui peut et devrait donner lieu à de nouveaux développements; cette troisième partie présentera aussi quelques observations générales en forme de conclusion.

     

Recent progress in the plastic methods of structural analysis

The techniques described in Part I of this paper for the calculation of plastic failure loads under proportional loading are further exemplified by indicating solutions for a rectangular building frame, a Vierendeel girder, and a shed-type portal frame. A method for estimating deflections of a frame just as the collapse load is attained is then described, with some indications as to its reliability. More general conditions of loading than proportional loading are next discussed, and generalized load and failure concepts are defined. The theorems and techniques for determining critical shakedown loads under variable, repeated loading are then described and illustrated. The relation of the elastic-plastic shakedown analysis to the much simpler analysis for failure under single load applications is discussed.