Driven barrier crossings are pervasive in optical-trapping experiments and steered molecular-dynamics simulations. Despite the high fidelity of control, freedom choice driving protocol is rarely exploited to improve efficiency. We design protocols that reduce dissipation for rapidly driven crossing under two-dimensional control a harmonic trapping potential, controlling both trap center stiffne...

[1] The solar wind is filled with strong current sheets and sudden velocity shears; often the two are co-located. Sudden velocity shears at 1 AU are statistically analyzed using ACE measurements from 1998 to 2008. The occurrence rates of passage and the orientations of the shear planes are examined. For shear layers with vector velocity changes |Dv| > 50 km/s, an average of 12 pass the Earth pe...

abstract stepped spillways are of most important hydraulic constructions to dissipation energy of water flow. these constructions are used in opening channel to transfer water from upper level to lower level. because of considerable effect of steps on flow dissipation energy and also the resulted developments in construction of roller competed concrete rcc, the mentioned constructions have draw...

Input-to-State Stability (ISS) and the ISSLyapunov function have proved to be useful tools for the analysis and design of nonlinear systems in a variety of contexts. Motivated by the fact that many feedback control laws, such as model predictive control or event-based control, lead to discontinuous discrete-time dynamics, we investigate ISS-Lyapunov functions for such systems. ISS-Lyapunov func...

Rate-independent energy dissipation associated with high-strain high-stress behavior of the material is considered. This rate-independent energy dissipation is associated with damage and relative motion inside the fiber-matrix material system. Simple mechanical models for energy dissipation were presented to facilitate the understanding of the phenomena. Three mechanisms for internal energy dis...

In this paper, an optimal measurement feedback control problem that yields an almost-dissipative closed loop system is considered. Using information state ideas and the definition of the optimal cost presented, a dynamic programming equation is derived. Incremental analysis yields a corresponding variational inequality (VI) which naturally generalizes the information state based partial differe...

In this article, the effects of viscous dissipation and inertial force on the velocity and temperature distributions of the mixed convection laminar flow in a vertical channel partly filled with a saturated porous medium have been studied. In this regard, the Brinkman–Forchheimer extended Darcy model was adopted for the fluid flow in the porous region. In addition, three different viscous dissi...

Sustained molecular oscillations are ubiquitous in biology. The obtained oscillatory patterns provide vital functions as timekeepers, pacemakers and spacemarkers. Models based on control theory have been introduced to explain how specific oscillatory behaviors stem from protein interaction feedbacks, whereas the energy dissipation through the oscillating processes and its role in the regulatory...