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- W4249482956 abstract "This chapter describes a fundamental stability theory for nonlinear dynamical systems using vector Lyapunov functions. It first introduces the notation and definitions before developing stability theorems via vector Lyapunov functions for continuous-time and discrete-time nonlinear dynamical systems. It then extends the theory of vector Lyapunov functions by constructing a generalized comparison system whose vector field can be a function of the comparison system states as well as the nonlinear dynamical system states. It also presents a generalized convergence result which, in the case of a scalar comparison system, specializes to the classical Krasovskii–LaSalle theorem. In the analysis of large-scale nonlinear interconnected dynamical systems, several Lyapunov functions arise naturally from the stability properties of each individual subsystem." @default.
- W4249482956 created "2022-05-12" @default.
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- W4249482956 date "2011-12-04" @default.
- W4249482956 modified "2023-09-25" @default.
- W4249482956 title "Stability Theory via Vector Lyapunov Functions" @default.
- W4249482956 doi "https://doi.org/10.23943/princeton/9780691153469.003.0002" @default.
- W4249482956 hasPublicationYear "2011" @default.
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