By Cornelius T. Leondes

ISBN-10: 0120127229

ISBN-13: 9780120127221

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**Extra info for Decentralized/Distributed Control and Dynamic Systems, Part 1 of 3**

**Example text**

J. L. SPEYER, "Computation and Transmission Requirements for a Decentralized Linear-Quadratic-Gaussian Control Problem," IEEE Trans. Autom. Control AC-24, 266-269 (1979). 12. D. A. CASTANON and D. TENEKETZIS, "Distributed Estimation Algorithms for Nonlinear Systems," to appear in IEEE Trans. Autom. Control. 13. A. S. WILLSKY, M. BELLO, D. A. CASTANON, B. C. LEVY, and G. VERGHESE, "Combining and Updating of Local Estimates and Regional Maps Along Sets of One-Dimensional Tracks," IEEE Trans. Autom.

6. 35 2) + c t 2 f ( T ) | s = 2 } a»(t) ßl(t) 1 Optimal strategy for agent 1. a reciprocal argument establishes that the optimal strategy for 2 2 agent 2 can be determined using thresholds α (t), $ (t) as in Theorem 4. According to the results of Lemma 1 and Theorem 4, these thresholds are coupled. Namely, the thresholds of agent 1 at any instant are coupled with the thresholds of agent 2 for all times. The optimal decision rule and cost-to-go for agent 1 are illustrated in Fig. 6. Although Theorem 4 offers a complete characterization of the solution of the decentralized Wald problem, actual computation of this solution poses a difficult problem due to the coupling among the thresholds used by each agent.

Similarly, DISTRIBUTED E S T I M A T I O N FOR LARGE-SCALE EVENT-DRIVEN S Y S T E M S E{J(l,s2; I Fig. 6. 35 2) + c t 2 f ( T ) | s = 2 } a»(t) ßl(t) 1 Optimal strategy for agent 1. a reciprocal argument establishes that the optimal strategy for 2 2 agent 2 can be determined using thresholds α (t), $ (t) as in Theorem 4. According to the results of Lemma 1 and Theorem 4, these thresholds are coupled. Namely, the thresholds of agent 1 at any instant are coupled with the thresholds of agent 2 for all times.

### Decentralized/Distributed Control and Dynamic Systems, Part 1 of 3 by Cornelius T. Leondes

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