{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:32:03Z","timestamp":1760243523270,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2013,7,3]],"date-time":"2013-07-03T00:00:00Z","timestamp":1372809600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JSAN"],"abstract":"<jats:p>Timely dissemination of required state information poses a significant challenge in the design of distributed sensor\/actuator network-based control systems. In this paper, distance sensitivity properties inherent in many sensor-actuator network-based control systems are exploited to establish conditions under which information within a bounded locality of each controller closely approximates optimal control based on knowledge of system-wide state information. By doing so, it is shown that optimal control in extremely large-scale distributed control systems can be achieved in O(1) time using information only within a fixed neighborhood around each controller, the size of which depends on the decay characteristics of the actuator influence matrix.<\/jats:p>","DOI":"10.3390\/jsan2030409","type":"journal-article","created":{"date-parts":[[2013,7,3]],"date-time":"2013-07-03T16:39:47Z","timestamp":1372869587000},"page":"409-423","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Sufficiency of Local Feedback for Sensor-Actuator Network-Based Control Systems with Distance Sensitivity Properties"],"prefix":"10.3390","volume":"2","author":[{"given":"Vinod","family":"Kulathumani","sequence":"first","affiliation":[{"name":"Lane Department of Computer Science and Electrical Engineering, West Virginia University, Morgantown, WV 26506, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bryan","family":"Lemon","sequence":"additional","affiliation":[{"name":"Lane Department of Computer Science and Electrical Engineering, West Virginia University, Morgantown, WV 26506, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2013,7,3]]},"reference":[{"key":"ref_1","unstructured":"Liu, C., Tsao, T., Tai, Y., Leu, J., Ho, C., Tang, W., and Miu, D. (1995, January 29). Out of Plane Permalloy Magnetic Actuators for Delta Wing Motion Control. Proceedings of the IEEE Micro Electro Mechanical Systems Workshop, Amsterdam, The Netherlands."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1115\/1.2817778","article-title":"REVIEW: MEMS and its applications for flow control","volume":"118","author":"Ho","year":"1996","journal-title":"ASME J. Fluid Eng."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Frampton, K. (2002, January 17). Decentralized vibration control in a launch vehicle payload fairing. Proceedings of the ASME International Mechanical Engineering Congress and Exposition, New Orleans, LA, USA.","DOI":"10.1115\/IMECE2002-33352"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Kim, Y.M., Arora, A., and Kulathumani, V. (2005, January 27). On Effect of Faults in Vibration Control of Fairing Structures. Proceedings of Fifth International Conference on Multibody Systems, Nonlinear Dynamics and Controls (MSNDC), Long Beach, SC, USA.","DOI":"10.1115\/DETC2005-85444"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1109\/5.871301","article-title":"Control design of an automated highway system","volume":"88","author":"Horowitz","year":"2000","journal-title":"IEEE Proc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1109\/25.330177","article-title":"Longitudinal control of the lead car of a platoon","volume":"43","author":"Godbole","year":"1994","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1109\/9.486636","article-title":"String stability of interconnected systems","volume":"41","author":"Swaroop","year":"1996","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Singhvi, V., Krause, A., Guestrin, C., Garrett, J.H., and Matthews, H. (2005, January 2). Intelligent Light Control Using Sensor Networks. Proceeding of ACM Conference on Embedded Networked Sensor Systems (Sensys), San Diego, CA, USA.","DOI":"10.1145\/1098918.1098942"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3596","DOI":"10.1109\/TIE.2009.2029585","article-title":"Building-environment control with wireless sensor and actuator networks: Centralized versus distributed","volume":"57","author":"Cao","year":"2010","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1112","DOI":"10.1016\/j.envsoft.2009.02.008","article-title":"A receding horizon control algorithm for adaptive management of soil moisture and chemical levels during irrigation","volume":"24","author":"Park","year":"2009","journal-title":"Environ. Model. Softw."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Schwager, M., Julian, B., and Rus, D. (2009, January 12). Optimal Coverage for Multiple Hovering Robots with Downward-Facing Cameras. Proceedings of the International Conference on Robotics and Automation (ICRA 09), Kobe, Japan.","DOI":"10.1109\/ROBOT.2009.5152815"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1109\/JPROC.2006.887293","article-title":"Consensus and cooperation in networked multi-agent systems","volume":"95","author":"Fax","year":"2007","journal-title":"IEEE Proc."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Balani, R., Chehade, N.H., Chakraborty, S., and Srivastava, M. (2011, January 27). Distributed Coordination for Fast Iterative Optimization in Wireless Sensor\/Actuator Networks. Proceedings of IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks (SECON), Salt Lake City, UT, USA.","DOI":"10.1109\/SAHCN.2011.5984934"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2473","DOI":"10.1109\/TAC.2011.2163849","article-title":"Pursuit control over Wireless Sensor Networks Using Distance Sensitivity Properties","volume":"56","author":"Kulathumani","year":"2011","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_15","unstructured":"Kulathumani, V., and Arora, A. (2007, January 17). Distance Sensitive Snapshots in Wireless Sensor Networks. Proceedings of Principles of Distributed Systems (OPODIS), Guadeloupe, France."},{"key":"ref_16","unstructured":"Kantor, G.A. (1999). Approximate Matrix Diagonalization for Use in Distributed Control Networks. [Ph.D. Thesis, University of Maryland]."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Rozell, C.J., and Johnson, D.H. (2006, January 18\u201320). Evaluating Local Contributions to Global Performance in Wireless Sensor and Actuator Networks. Proceedings of International conference on Distributed Computing in Sensor Systems (DCOSS), San Francisco, NC, USA.","DOI":"10.1007\/11776178_1"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1616","DOI":"10.1109\/TAC.2008.929366","article-title":"Optimal control of spatially distributed systems","volume":"53","author":"Motee","year":"2008","journal-title":"IEEE Tran. Autom. Control"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Cao, X., Chen, J., Xiao, Y., and Sun, Y. (2008, January 13). Distributed Collaborative Control Using Wireless Sensor and Actuator Networks. Proceedings of Second International Conference on Future Generation Communication and Networking, Hainan Island, China.","DOI":"10.1109\/FGCN.2008.20"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Cao, X., Chen, J., Xiao, Y., and Sun, Y. (2008, January 19). Control Systems Designed for Wireless Sensor and Actuator Networks. Proceedings of International Conference on Communications (ICC), Beijing, China.","DOI":"10.1109\/ICC.2008.931"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2456","DOI":"10.1109\/TAC.2011.2164036","article-title":"Decentralized event-triggered control over wireless sensor\/actuator networks","volume":"56","author":"Mazo","year":"2011","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/s0294-1449(16)30287-6","article-title":"Proprietes des matrices bien localisees pres de leur diagonale et quelques applications","volume":"7","author":"Jaffard","year":"1990","journal-title":"Ann. Inst. H. Poincare Anal. Non Lineaire"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1090\/S0025-5718-1984-0758197-9","article-title":"Decay rates for inverses of band matrices","volume":"43","author":"Demko","year":"1984","journal-title":"Math. Comput."},{"key":"ref_24","first-page":"2489","article-title":"A (p, q) version of bourgains theorem","volume":"258","author":"Benedetto","year":"2006","journal-title":"Trans. Am. Math. Soc."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Donkers, M.C.F., Tabuada, P., and Heemels, W.P.M.H. (2012). Minimum attention control for linear systems. Discret. Event Dyn. 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