Tracking property: A viability approach
Aubin, Jean-Pierre (1991), Tracking property: A viability approach, in Kurzhanski, Alexander; Lasiecka, Irena, Modelling and Inverse Problems of Control for Distributed Parameter Systems Proceedings of IFIP (W.G.7.2)-IIASA Conference, Laxenburg, Austria, July 24–28, 1989, Springer : Berlin, p. 1-15. http://dx.doi.org/10.1007/BFb0044478
TypeCommunication / Conférence
Conference titleIFIP (W.G.7.2)-IIASA Conference
Book titleModelling and Inverse Problems of Control for Distributed Parameter Systems Proceedings of IFIP (W.G.7.2)-IIASA Conference, Laxenburg, Austria, July 24–28, 1989
Book authorKurzhanski, Alexander; Lasiecka, Irena
Series titleLecture Notes in Control and Information Sciences
Number of pages170
MetadataShow full item record
Abstract (EN)This paper is devoted to the characterization of the tracking property connecting solutions to two differential inclusions or control systems through an observation map derived from the viability theorem. The tracking property holds true if and only if the dynamics of the two systems and the contingent derivative of the observation map satisfy a generalized oartial differential equation, called the contingent differential inclusion. This contingent differential inclusion is then used in several ways. For instance, knowing the dynamics of the two systems, construct the observation map or, knowing the dynamics of one system and the observation map, derive dynamics of the other system (trackers) which are solutions to the contingent differential inclusion. It is also shown that the tracking problem provides a natural framework to treat issues such as the zero dynamics, decentralization, and hierarchical decomposition.
Subjects / Keywordstracking problem; contingent differential inclusion; viability theorem
Showing items related by title and author.
A viability approach to Hamilton-Jacobi equations: application to concave highway traffic flux functions Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick (2005) Communication / Conférence