Abstract Dynamical systems are often subject to algebraic constraints in conjunction with their governing ordinary differential equations. In particular, multibody commonly configuration that define kinematic compatibility between the motion of different bodies. A full-scale numerical simulation such constrained problems is challenging, making reduced-order models (ROMs) paramount importance. t...

For a class of state-constrained dynamical systems described by evolution variational inequalities, we study the time probability measure which describes distribution state over set. In contrast to smooth ordinary differential equations, where this is Liouville flow map associated with nonsmooth inclusion not necessarily invertible and one cannot directly derive continuity equation describe sta...

In modern power constrained applications, as with most of those belonging to the Internet-of-Things world, custom hardware supports are ever more commonly adopted deploy artificial intelligence algorithms. these operating environments, limiting dissipation much possible is mandatory, even at expense reduced computational accuracy. this paper we propose a novel prediction method identify potenti...

We consider a particular class of hybrid systems characterized by a finite state machine and a set of discretetime linear dynamical systems, each corresponding to a state of the machine. The hybrid control problem addressed consists of maintaining the output of the systems in a given subset of the output space, independently of the state of the FSM. Necessary and sufficient conditions are given...

We consider quantum mechanics on constrained surfaces which have nonEuclidean metrics and variable Gaussian curvature. The old controversy about the ambiguities involving terms in the Hamiltonian of order h̄ multiplying the Gaussian curvature is addressed. We set out to clarify the matter by considering constraints to be the limits of large restoring forces as the constraint coordinates deviate ...

ions of Constrained Linear Systems Herbert G. Tanner University of Pennsylvania George J. Pappas University of Pennsylvania, [email protected] Follow this and additional works at: http://repository.upenn.edu/ese_papers Copyright 2003 IEEE. Reprinted from Proceedings of the American Control Conference 2003, Volume 4, pages 3381-3386. This material is posted here with permission of the IEEE....