Journal ArticleDOI
Hamiltonian-type Lyapunov functions
R. Marino,S. Nicosia +1 more
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A flexible and systematic way for the construction of Lyapunov functions which lends itself to the use of nonlinear programming techniques is presented in this paper, where the class of LyAPunov function obtained is shown to be energy functions (energy functions) for an equivalent system.Abstract:
A flexible and systematic way for the construction of Lyapunov functions which lends itself to the use of nonlinear programming techniques is presented. The class of Lyapunov functions obtained is shown to be energy functions (Hamiltonians) for an equivalent system.read more
Citations
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Journal ArticleDOI
Paper: Model reference adaptive control algorithms for industrial robots
Salvatore Nicosia,Patrizio Tomei +1 more
TL;DR: It is proved that a generalized MRAS control assures the convergence to a suitable reference model for a class of processes: the manipulator is shown to belong to such a class.
Journal ArticleDOI
An extended integral method to derive Lyapunov functions for nonlinear systems
TL;DR: In this paper, the authors extended the integral method of Chin to include continuous functions of time, some or all state variables and their time derivatives, and the sensitivity of the method to the form of the state-space model is reduced, which gives the user more freedom in deriving the Lyapunov functions.
Book ChapterDOI
Adaptive nonlinear excitation control of synchronous generators with unknown mechanical power
TL;DR: In this paper, a nonlinear adaptive excitation control is designed for a synchronous generator modeled by a standard third order model on the basis of the physically available measurements of relative angular speed, active electric power and terminal voltage.
Journal ArticleDOI
Generalized integral method to derive Lyapunov functions for nonlinear systems
TL;DR: The generalized integral method proposed by Chin this paper derives suitable Lyapunov functions for a general class of non-linear systems expressed in state variables as n first-order nonlinear differential equations.
Journal ArticleDOI
Exact determination of a Lyapunov function and the asymptotic stability domain
TL;DR: In this paper, the necessary and sufficient conditions for an exact direct determination of both a Lyapunov function υ and the asymptotic stability domain D of the zero state is solved for time-invariant continuous-time systems with continuous unique motions.
References
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Journal ArticleDOI
Transient stability of an a.c. generator by Lyapunov's direct method†
TL;DR: In this article, the transient stability of an a.c. generator is analyzed by utilizing Lyapunov's direct method, which includes the effects of flux docay and simplified representations of speed governer and voltage regulator.
Journal ArticleDOI
Lyapunov-Popov stability analysis of synchronous machine with flux decay and voltage regulator
M.A. Pai,Vishwanatha Rai +1 more
TL;DR: In this paper, the transient stability of a synchronous machine connected to an infinite bus is studied, including the flux decay effect, and voltage regulator action, through Lyapunov-Popov approach.
Journal ArticleDOI
Construction of Lyapunov function for power systems
H. Miyagi,T. Taniguchi +1 more
TL;DR: In this paper, the Lagrange's function is used to estimate the critical reclosing time for power-system transient stability, which is then compared with those obtained by numerical integration, and numerical results are shown.