We consider a general class of exponentially stabilizing feedback controls which covers sampled discrete feedbacks and discontinuous mappings as well as classical feedbacks and derive a necessary and sufficient condition for the corresponding closed-loop systems to be input-to-state stable with exponential...
Time-Varying and Adaptive Integral Control of Infinite-Dimensional Regular Linear Systems with Input Nonlinearities Closing the loop around an exponentially stable, single-input, single-output, regular linear system---subject to a globally Lipschitz, nondecreasing actuat... H Logemann,EP Ryan - Society...
We thus consider the long-τ limit, effectively ignoring any transient behaviour and assuming the system is in its steady state. Note that our system is dynamically stable as long as w > Δ and κ > 0, ensuring that a steady state exists. From Eqs. (14), (12), and (10),...
In order to state the computational TEUR (cTEUR), we need to clarify how we model an energy measurement. We use unitary implementations of energy measurements (called here “unitary energy measurements”), which entangle the input eigenstateψEto a measurement device consisting of display and work...
Inputto-state stability is one of the important concepts which have been introduced into nonlinear control systems. This paper generalizes the input-to-state stability to exponentially weighted integral inputto-state globally uniformly stable and exponentially weighted integral input-to-state globally ...
Input-to-state stability is one of the important concepts which have been introduced into nonlinear control systems. This paper generalizes the input-to-state stability to exponentially weighted integral input-to-state globally uniformly stable and exponentially weighted integral input-to-state globally ...
input-to-state stabilityintegral manifoldsnonlinear systems on manifoldsThis note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibrium points. If the linearizations at unstable equilibria ...
and requirements of adaptive control theory (the need to know the sign/value of the control input gain, the need for an experimental choice of the adaptive law gain, and the requirement to the tracking error transfer function to be strictly positive real considering the out...
The duality theorem implies the usual consequences for Willems' elimination, the fundamental principle, input/ output decompositions and controllability. The generalization to autonomous discrete LTV-behaviors of the standard definition of uniformly exponentially stable (u.e.s.) state space systems is ...
This note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibrium points. If the linearizations at unstable equilibria have at least one eigenvalue with positive real part, then almost ...