Results 31 to 40 of about 72,691 (241)

New Fixed-Time Stability Theorems for Delayed Fractional-Order Systems and Applications

IEEE Access, 2022
This paper examines the problem of improved fixed-time stability for generalized delayed fractional-order systems (FOSs). As a first step, some stability conditions are presented in two theorems to verify fixed-time stability (F-TS) of FOSs by using ...
Udhayakumar Kandasamy, Fathalla A. Rihan, Rakkiyappan Rajan, Mahmoud M. El-Khouly   +3 more
doaj   +1 more source

Lyapunov stability of abstract nonlinear dynamic system in Banach space [PDF]

, 2003
The Lyapunov stability theory for nonlinear time-varying dynamic system in Banach space is given in this paper. The Lyapunov stable theorem and the Barbashin-Krasovskii-LaSalle invariant set principle in classical theory are extended to infinite ...
Xu, GQ, Yung, SP
core   +1 more source

Ground-state Stabilization of Open Quantum Systems by Dissipation

, 2015
Control by dissipation, or environment engineering, constitutes an important methodology within quantum coherent control which was proposed to improve the robustness and scalability of quantum control systems.
James, Matthew R., Pan, Yu, Ugrinovskii, Valery   +2 more
core   +1 more source

Aleksandr Lyapunov, the man who created the modern theory of stability

Electronic Journal of Qualitative Theory of Differential Equations, 2019
The outstanding Russian mathematician Aleksandr M. Lyapunov passed away one hundred years ago, on November 6, 1918. Honouring his memory, we recall the main events of his life when he was a student, then from the years in Saint Petersburg until 1885 ...
László Hatvani
doaj   +1 more source

Input-to-state stability of infinite-dimensional control systems

, 2012
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing, Andrii Mironchenko, B Jayawardhana, B Jayawardhana, BS Rüffer, D Henry, ED Sontag, ED Sontag, ED Sontag, F Mazenc, I Karafyllis, I Karafyllis, I Karafyllis, JC Willems, JP Hespanha, L Grüne, L Grüne, P Pepe, RF Curtain, S Dachkovski, S Dashkovskiy, S Dashkovskiy, Sergey Dashkovskiy, SN Dashkovskiy, Y Lin, ZP Jiang   +25 more
core   +1 more source

Current Tracking Adaptive Control of Brushless DC Motors

International Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García, Axel Coronado‐Andrade, Gerardo Espinosa‐Pérez, Luis Alvarez‐Icaza   +3 more
wiley   +1 more source

The Instability Transition for the Restricted 3-Body Problem. III. The Lyapunov Exponent Criterion

, 2011
We establish a criterion for the stability of planetary orbits in stellar binary systems by using Lyapunov exponents and power spectra for the special case of the circular restricted 3-body problem (CR3BP). The centerpiece of our method is the concept of
B. Quarles, Benettin, Catanzarite, Cockell, Cuntz, Duquennoy, Dvorak, Dvorak, Dvorak, Eberle, Eberle, Eggenberger, Fouchard, Froeschlé, Gonczi, Holman, J. Eberle, Jefferys, Lada, Lecar, Lissauer, Lyapunov, M. Cuntz, Malhotra, Milani, Murray, Musielak, Musielak, Patience, Pilat-Lohinger, Rabl, Raghavan, Smith, Szenkovits, Wolf, Yoshida, Z. E. Musielak   +36 more
core   +1 more source

The energy–momentum method for the stability of non-holonomic systems [PDF]

, 1997
In this paper we analyze the stability of relative equilibria of nonholonomic systems (that is, mechanical systems with nonintegrable constraints such as rolling constraints).
Bloch, Anthony M., Marsden, Jerrold E., Zenkov, Dmitry V.   +2 more
core   +5 more sources

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

Unified Sufficient Conditions for Predefined-Time Stability of Non-Linear Systems and Its Standard Controller Design

Actuators
This paper presents a unified Lyapunov-based predefined-time stability theorem that includes three sufficient conditions. The standard theoretical analysis method for achieving predefined-time stability of non-linear systems using this theorem is ...
Bing Xiao, Haichao Zhang, Shijie Zhao, Zhaoyue Chen, Lu Cao   +4 more
doaj   +1 more source