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oai:www.ideals.illinois.edu:2142/50614 2023-07-11 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

Dullerud, Geir E. Wang, Yu 2014-09-16T17:24:23Z 2014-09-16T17:24:23Z 2014-08 2014-09-16 2014-08 In this work, we discuss the stability of a discrete-time linear autonomous system under regular switching sequences, whose switching sequences are generated by a Muller automaton. This system arises in various engineering problems such as distributed communication and automotive engine control. The asymptotic stability of this system, referred to as regular asymptotic stability, generalizes two well-known definitions of stability of autonomous discrete-time linear switched systems, namely absolute asymptotic stability (AAS) and shuffle asymptotic stability (SAS). We also extend these stability definitions to robust versions. We prove that absolute asymptotic stability, robust absolute asymptotic stability and robust shuffle asymptotic stability are equivalent to exponential stability. In addition, by using the Kronecker product, we prove that a robust regular asymptotic stability problem is equivalent to the conjunction of several robust absolute asymptotic stability problems. Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-07-18T12:44:06Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Wang_Yu.rar: 27197 bytes, checksum: 199b0a5afc7af0efca08f96ebc35108d (MD5) Wang_Yu.pdf: 319233 bytes, checksum: 9b99b20612bf31173d5d372c2e6f0c40 (MD5) Made available in DSpace on 2014-09-16T17:24:23Z (GMT). No. of bitstreams: 4 Yu_Wang.pdf: 308092 bytes, checksum: 1e0a43c4e56f6cb942084e94aca6dd2e (MD5) Wang_Yu.rar: 57501 bytes, checksum: 342fe3a929cabdc410311d18884eb995 (MD5) 1_Wang_Yu.rar: 57501 bytes, checksum: 342fe3a929cabdc410311d18884eb995 (MD5) license.txt: 4056 bytes, checksum: 5aae9b25cbc47e1e8d4949f5d7c3b417 (MD5) http://hdl.handle.net/2142/50614 en Copyright 2014 Yu Wang Switched systems Muller Automata Robust stability Stability of linear autonomous systems under regular switching sequences text Mechanical Sci & Engineering 1917 Mechanical Engineering 0133 University of Illinois at Urbana-Champaign Thesis M.S. MS:Mechanical Engineerng -UIUC 10KS0133MS