1,720,975 research outputs found

    Doubly invariant equilibria of linear discrete-time games

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    In this paper the notion of doublyinvariant (DI) equilibrium is introduced. The concept extends controlled and robustlycontrolled invariance notions to the context of two-person dynamic games. Each player tries to keep the state in a region of state space independently of the actions of the rival player. The paper gives existence conditions, criteria and algorithms for the determination of DI equilibria of linear dynamic games in discrete time. Two examples illustrate the results. The 3rst one is in the area of fault-tolerant controller synthesis. The second is an application to macroeconomics

    Observer-based stabilization of linear switching systems

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    The discrete component of the hybrid state of a discrete-time linear switching system is assumed to be uncontrolled and unobserved. Conditions of stabilizability for this class of systems are given in terms of a new definition of control invariance, based on the realization of a discrete observer that permits reconstruction of the discrete-state in certain intervals of the time basis. This paper highlights the relationship between the minimum dwell time of the system and its stabilizability. An almost complete characterization of stabilizability is offered in terms of certain subsets of the continuous-state space. These sets are amenable to tractable parametric procedures for controller synthesis

    A polytopic game

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    Communication, control and driving assistance to a platoon of vehicles in heavy traffic and scarce visibility.

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    A decentralized communication and control system is presented for driving assistance and automation along designated highway segments. This paper is based on a hybrid dynamical model describing vehicular motion, and the structure of a safe controller is presented. A ranging and communication system provides information for a vehicle and its nearest neighbors. The system is capable of handling sudden changes of regime, overtakes, reentries, as well as a number of maneuvers dictated by safety requirements under partially unpredicted events. A user-friendly interface, based on a palmtop computer, is developed to assist drivers visually and acousticall

    Constrained control of switching systems: a positive invariant approach

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    This paper presents conditions for the stabilization of switching discrete-time linear systems with constrained control by using a positive invariance approach. A state feedback control law is used to construct the stabilizing controller. A numerical example is presented to illustrate the techniqu
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