Last updated on July 3, 2015. This conference program is tentative and subject to change
The primary interest in homogeneous systems, as an intermediate step from linear to fully nonlinear systems, lies in their approximation properties. The following are almost true (and much research in the past decades has focused on the precise conditions when these are true): A system is controllable (feedback stabilizable) if and only if its homogeneous nilpotent approximation is controllable (respectively, stabilizable).
The classical definition of homogeneity, and many of its practical applications are firmly rooted in algebra. But much of its power in (controlled) dynamical systems stems from its geometric face, as a symmetry under a Lie group of continuous transformations. This naturally sets the stage for extending the use of homogeneity to infinite dimensional systems that include, in particular, dynamical systems with delays, and systems governed by partial differential equations, areas of very active current research, some of which will be featured in the other presentations of this tutorial session.
The case of 1D Burgers system in a bounded interval under Dirichlet boundary conditions, where the controls are supported in an arbitrary small nonempty open subset, is also discussed.
The proposed method is successfully applied to find a Lyapunov function for a pressure controlled water distribution system.
Due to the changing nature of emergency situations, there is a clear need for generating dynamic evacuation plans that consider ongoing situations like hazardous areas or amount and location of evacuees. In this paper we show how automatic control can contribute to address this problem, therefore we compare open loop and closed loop strategies, and decentralized, distributed and centralized approaches.
Evacuation performance is measured through the total evacuation time in a one story building with three exits, considering different levels of hazard and congestion.
Results show that real time measurements of hazard and congestion incorporate valuable information to the control system, and also that distributed control strategies seem to be more suitable for addressing the problem due to their low computational cost and good performance.
This paper places the controller blending problem in a more general setting by pointing to the basic global geometric structures that are related to feedback stability or suboptimal Hinf design. A detailed analysis is given for feedback stability: an operation is given under which well-posedness is a group while stability is a semigroup. Moreover, an operation is given that makes controllers with strongly stable property a group.
is formulated as LMI feasibility problem in which a cost function is minimized subject to LMI constraints
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