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2018
Stability of nonlinear systems are discussed in this chapter. Lyapunov stability, asymptotic stability, and exponential stability of an equilibrium point of a nonlinear system are defined. The Lyapunov’s direct method is introduced as an indispensable tool for analyzing stability of nonlinear systems.
N. Nguyen
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Stability of nonlinear systems are discussed in this chapter. Lyapunov stability, asymptotic stability, and exponential stability of an equilibrium point of a nonlinear system are defined. The Lyapunov’s direct method is introduced as an indispensable tool for analyzing stability of nonlinear systems.
N. Nguyen
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IEEE transactions on industrial electronics (1982. Print), 2022
Despite being cost-effective, seven-level Modified Packed U-Cell (MPUC7) active rectifier tends to be unstable due to unequal dc-links. Thus, a multiobjective controller is required to stabilize voltages and currents besides preserving efficiency and ...
M. Babaie +3 more
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Despite being cost-effective, seven-level Modified Packed U-Cell (MPUC7) active rectifier tends to be unstable due to unequal dc-links. Thus, a multiobjective controller is required to stabilize voltages and currents besides preserving efficiency and ...
M. Babaie +3 more
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Model Predictive Control Strategy for Induction Motor Drive Using Lyapunov Stability Objective
IEEE transactions on industrial electronics (1982. Print), 2022This article presents a novel Lyapunov-based model predictive control strategy for squirrel-cage induction motor fed by a voltage source inverter. The model predictive control method has received enormous attention thanks to its rapid response to load ...
Ozan Gulbudak +2 more
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Lyapunov stability analysis of discrete-time robust adaptive super-twisting sliding mode controller
International Journal of Control, 2021This paper presents a discrete-time Robust Adaptive Super-Twisting Sliding Mode controller and its stability analysis by means of Lyapunov stability theory.
G. Hollweg +4 more
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Lyapunov Stability Theory for Nonlinear Nabla Fractional Order Systems
IEEE Transactions on Circuits and Systems - II - Express Briefs, 2021Lyapunov method is a powerful tool for studying the stability of dynamic systems while existing work mainly focuses on the asymptotic stability and rarely concerns the boundedness.
Yiheng Wei
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The Control Systems Handbook, 2018
Stability theory plays a central role in control theory and engineering. There are different kinds of stability problems that arise in the study of dynamical systems (see Stability theory, Popov and circle criterion, and Input-output stability).
H. Khalil
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Stability theory plays a central role in control theory and engineering. There are different kinds of stability problems that arise in the study of dynamical systems (see Stability theory, Popov and circle criterion, and Input-output stability).
H. Khalil
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Lyapunov Stability for Impulsive Systems via Event-Triggered Impulsive Control
IEEE Transactions on Automatic Control, 2020In this article, we investigate the Lyapunov stability problem for impulsive systems via event-triggered impulsive control, where dynamical systems evolve according to continuous-time equations most of the time, but occasionally exhibit instantaneous ...
Xiaodi Li, Dongxue Peng, Jinde Cao
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IEEE Transactions on Circuits and Systems - II - Express Briefs, 2020
Although uniform reduction of the differentiators’ orders in the stable state-space integer order models yields in stable fractional order dynamics, stability may not be preserved by non-uniform reducing the orders of the involved differentiators.
Vahid Badri, M. Tavazoei
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Although uniform reduction of the differentiators’ orders in the stable state-space integer order models yields in stable fractional order dynamics, stability may not be preserved by non-uniform reducing the orders of the involved differentiators.
Vahid Badri, M. Tavazoei
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Semidefinite lyapunov functions stability and stabilization
Mathematics of Control, Signals, and Systems, 1996The paper gives some weakening of the basic Lyapunov theorems by obtaining stability and asymptotic stability for nonnegatively definite Lyapunov functions. These results allow simpler proofs for some previously known results and some extension of the stabilization results for systems that are affine in the control.
Iggidr, Abderrahman +2 more
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Does Neutral Stability Imply Lyapunov Stability?
Games and Economic Behavior, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bomze, Immanuel M., Weibull, Jörgen W.
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