On the asymptotic behavior of sensors' allocation algorithm in stochastic distributed systems
(1978) Proceedings of the IFIP Working Conference on Distributed Parameter Systems Modelling and Identification — Location: Rome, Italy (21.June.1976)
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- Abstract
- In a recent paper (see Int. J. Control, vol.22, p.197-214 (1975)), an algorithm is presented for the optimal simultaneous allocation of a finite number of sensors in a stochastic distributed parameter system. When applying the algorithm recursively on a time-invariant system, two important questions arise for the resulting time-variant Riccati equation. First, the existence of a steady-state solution, i.e. the determination of conditions to be satisfied for such a solution to exist. Secondly, the stability of the algorithm, i.e. does the effect of initial errors become negligible as time evolves. These two questions are investigated. First, the existence of a steady-state optimal solution is demonstrated, the necessary conditions for the convergence of the algorithm towards this optimal solution are then discussed.
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Aidarous, S. E., Gevers, M., & Installe, M. J. (1978). On the asymptotic behavior of sensors’ allocation algorithm in stochastic distributed systems. In Ruberti, A.; (ed.), Proceedings of the IFIP Working Conference on Distributed ParameterSystems Modelling and Identification (p. p. 81-91). Springer-verlag. https://hdl.handle.net/2078.5/229894