Results 121 to 130 of about 1,907 (143)

A generalized chain rule and a bound on the continuity of solutions and converse Lyapunov functions

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
This paper gives a bound on the continuity of solutions to nonlinear ordinary differential equations. Continuity is measured with respect to an arbitrary Sobolev norm. This result is used to give a bound on the continuity of a common converse Lyapunov function.
Matthew M Peet
exaly   +2 more sources

On a Practicle Stopping Rule for the Numerical Computation of the Lyapunov Spectrum

1992 American Control Conference, 1992
It is in general not possible to analytically compute the Lyapunov spectrum of a given dynamical system. This has been achieved for a few special cases only. Therefore, numerical algorithms have been devised for this task. One major drawback of these numerical algorithms is the lack of an adequate stopping rule.
Jelel Ezzine
exaly   +2 more sources

Design of stable model reference adaptive system via Lyapunov rule for control of a chemical reactor

2013 Australian Control Conference, 2013
In this paper, two model reference adaptive control strategy including MIT rule and Lyapunov rule are used to design iterative learning controllers for a chemical-reactor system with uncertain parameters, initial output resetting error and input disturbance. The learning controller compensates for the unknown parameters, uncertainties, and nonlinearity
Hanif Tahersima, Mohammadjafar Saleh, Akram Mesgarisohani, Mohammadhossein Tahersima   +3 more
exaly   +2 more sources

Fault tolerant synchronization of chaotic heavy symmetric gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control

ISA Transactions, 2012
In this paper, fault tolerant synchronization of chaotic gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control is investigated. Taking the general nature of faults in the slave system into account, a new synchronization scheme, namely, fault tolerant synchronization, is proposed, by which the synchronization can be ...
Faezeh Farivar, Mahdi Aliyari Shoorehdeli   +1 more
exaly   +3 more sources

Visual Servoing Based Model Reference Adaptive Control with Lyapunov Rule for a Ball on Plate Balancing System

2018 International Conference on Intelligent and Advanced System (ICIAS), 2018
The 2 Degree of Freedom (DoF) ball balancer system is a highly nonlinear system where the position of the ball is controlled by controlling the two servo motors simultaneously. In general, conventional Proportional Integral Derivative (PID) controller and Proportional Velocity (PV) is used to control the location of the ball on a plate in $\pmb{X}$ and
Geetha Mani, Ramani Kannan
exaly   +2 more sources

An asymptotically exact stopping rule for the numerical computation of the Lyapunov spectrum

Chaos, Solitons and Fractals, 1996
Abstract It is in general not possible to analytically compute the Lyapunov spectrum of a given dynamical system. This has been achieved for a few special cases only. Therefore, numerical algorithms have been devised for this task. However, one major drawback of these numerical algorithms is their lack of stopping rules.
exaly   +2 more sources

Speed Control of a Rotary Servo-Base Unit: Lyapunov and Mit Rule Approaches

Proceedings of the International Scientific Conference - Sinteza 2025
under contract 451-03-137/2025-03/200105, from date 04.02 ...
Vesović, Mitra, Zarić, Vladimir, Perišić, Natalija, Jovanović, Radiša   +3 more
exaly   +3 more sources

Lyapunov rule-based fuzzy control and chaotic anti-control for flexible joint system and analysis of chaotic signal existence effectiveness with experimental validation

2013 13th Iranian Conference on Fuzzy Systems (IFSC), 2013
This study proposes a novel chaotic anti-control for flexible joint system. The proposed controller is composed of a Lyapunov rule-based fuzzy control and chaotic anti-control for target tracking of the flexible joint manipulator. Chaotic signal is used to study the effect of anti-control to reduce the deflection of flexible joint system and control ...
Mahdi Aliyari Shoorehdeli
exaly   +2 more sources

Ruling Out Positive Lyapunov Exponents by Using the Jacobian’s Second Additive Compound Matrix

IEEE Control Systems Letters, 2022
Second additive compound matrices of the system's Jacobian are used to formulate sufficient conditions to rule out existence of attractors with positive Lyapunov exponents. The criteria are expressed in terms of Lyapunov dissipation inequalities or Linear Matrix Inequalities amenable to analytic verification.
Martini, Davide, Angeli, David, Innocenti, Giacomo, Tesi, Alberto   +3 more
openaire   +4 more sources

Effect of adaptation gain and reference model in MIT and Lyapunov rule–based model reference adaptive control for first- and second-order systems

Transactions of the Institute of Measurement and Control, 2023
An adaptive control law encompasses a regulating control rule compensating for system dynamics variations by adjusting the controller characteristics to maintain the overall system performance. Recently, some techniques have been developed based on fundamental aspects of the adaptability of living organisms.
Dhananjay Gupta, Awadhesh Kumar, Vinod Kumar Giri   +2 more
openaire   +1 more source