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- W4246482326 abstract "Publisher SummaryA natural way to establish the connective stability of a complex system driven by decentralized control is to apply the Matrosov–Bellman concept of vector Liapunov functions. The reason is that each component of a vector function can be used independently to show the stability of a locally controlled subsystem. When a vector function establishes the stability of the overall system, the autonomy of each subsystem is preserved and, as expected, connective stability follows. This chapter discusses the concept for design-oriented results, which are useful in the decentralized control of complex systems using local state feedback. The nonexistence of structurally fixed modes is a relatively simple characterization of potentially successful decentralized control structures. The chapter uses the method of vector Liapunov functions to confirm that a selected control law stabilizes the system. When the method fails, the outcome is inconclusive that is the case with most of Liapunov-type results. For this reason, there has long been a concerted effort to delineate classes of decentralized systems that can always be stabilized by local (state or output) feedback. The chapter describes the use of graphs to come up with a simple characterization of stabilizability." @default.
- W4246482326 created "2022-05-12" @default.
- W4246482326 date "1991-01-01" @default.
- W4246482326 modified "2023-09-25" @default.
- W4246482326 title "Chapter 2 Stabilization" @default.
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- W4246482326 doi "https://doi.org/10.1016/s0076-5392(08)63420-7" @default.
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