For input nonaffine nonlinear control systems, the minimum phase property of the system in general depends on the control law. Switching or discontinuous controllers may offer advantages in this context. In particular, there may not exist a continuous control law which would keep the output identically equal to zero and for which the zero output constrained dynamics are locally stable, whereas ...

Feedback regulation of nonlinear dynamical systems inevitably leads to issues concerning static bifurcation. Static bifurcation in feedback systems is linked to degeneracies in the system zero dynamics. Accordingly, the obvious remedy is to change the system input-output structure, but there are other possibilities as well. In this paper we summarize the main results connecting bifurcation beha...

Subwavelength epsilon-near-zero (ENZ) films with decorated nanoantennae are an emerging platform for coupling radiation into the ENZ mode: recent experiments have shown how strong between two systems underpins significant nonlinear effects. Field enhancement and temporal dynamic of in strongly coupled plasmonic antennae play a substantial role light–matter interaction, latter has not yet been f...

The aim of this paper is to discuss a notion of Zero Module and Zero Dynamics for linear, time-delay systems. The Zero Module in the time-delay framework is defined using the correspondence between time-delay systems and system with coefficients in a ring, so to exploit algebraic and geometric methods. By combining the algebraic notion of Zero Module and the geometric structure of the lattice o...

Spudis, J.W. Delano, D.C.B. Whittet, and T.D. Swindle Institute of Geophysics and Planetary Physics, Lawrence Livermore National Laboratory, Livermore, CA 94550 [email protected], Applied Physics Laboratory, Johns Hopkins University, Laurel, MD 20723, New York Center for Studies on the Origin of Life, Department of Earth and Atmospheric Sciences, University at Albany (SUNY), Albany, NY 12222, N...

The persistence of quaking aspen (Populus tremuloides Michx.) is of significant importance to land managers in the Rocky Mountain region. Fire suppression in the past century has been implicated as a mechanism influencing aspen population dynamics, as aspen are generally considered an early seral disturbance adapted species. The heterogeneity of aspen community assemblages and fire regimes make...

Toward a Coherent Framework for the Control of Planar Biped Locomotion by Eric R. Westervelt Co-Chairs: Jessy W. Grizzle and Daniel E. Koditschek Planar, underactuated, biped walkers form an important domain of application for hybrid dynamical systems. This dissertation presents the design of controllers that induce exponentially stable dynamic walking for general planar biped robots that have ...