Results 81 to 90 of about 35,286 (235)

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Generalized Alternating Direction Implicit Method for Projected Generalized Lyapunov Equations [PDF]

PAMM, 2004
AbstractWe generalize an alternating direction implicit method for projected generalized Lyapunov equations. Low rank versions of this method is also presented that can be used to compute a low rank approximation of the solution of Lyapunov equations with symmetric, positive semidefinite right‐hand side. Numerical example is given.
openaire   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Van der Pol Oscillator, its Control Theoretical Analysis Using Dissipative Canonical Equations and its Lyapunov Function

Düzce Üniversitesi Bilim ve Teknoloji Dergisi
In this research paper, beginning with the Lagrangian and generalized velocity proportional (Rayleigh) dissipation function of a physical/engineering system, the Lagrange-dissipative model ( {L,D}-model briefly) of the system is initially developed. Upon
Bedri Sevinc, Cem Civelek
doaj   +1 more source

Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order

Journal of Applied Mathematics, 2012
This paper mainly investigates a novel inverse projective synchronization between two different fractional-order hyperchaotic systems, that is, the fractional-order hyperchaotic Lorenz system and the fractional-order hyperchaotic Chen system.
Yi Chai, Liping Chen, Ranchao Wu
doaj   +1 more source

Chaotic Properties of Dilute Two and Three Dimensional Random Lorentz Gases I: Equilibrium Systems

, 1997
We compute the Lyapunov spectrum and the Kolmogorov-Sinai entropy for a moving particle placed in a dilute, random array of hard disk or hard sphere scatterers - i.e. the dilute Lorentz gas model.
A. Crisanti, A. Latz, A. Latz, A. Weijland, A. Weijland, Arnulf Latz, C. Appert, C. Appert, C. Beck, C. Bruin, C. P. Dettmann, Ch. Dellago, Ch. Dellago, Ch. Dellago, D. J. Evans, D. J. Evans, D. Mannion, D. Ruelle, E. Courant, E. G. D. Cohen, E. G. D. Cohen, E. H. Hauge, G. Gallavotti, G. Vattay, H. Flanders, H. van Beijeren, H. van Beijeren, H. van Beijeren, H. van Beijeren, J. R. Dorfman, J. R. Dorfman, J. R. Dorfman, J. R. Dorfman, J.-P. Eckmann, L. A. Bunimovich, M. H. Ernst, N. I. Chernov, N. I. Chernov, N. S. Krylov, P. Dahlqvist, P. Dahlqvist, P. Gaspard, P. Gaspard, P. Gaspard, S. Chapman, V. I. Arnold, W. G. Hoover, Ya. G. Sinai   +47 more
core   +1 more source

Periodic Scenario Trees: A Novel Framework for Robust Periodic Invariance and Stabilization of Constrained Uncertain Linear Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam, Sankaranarayanan Subramanian, Sebastian Engell   +2 more
wiley   +1 more source

Hyperbolic chaos in self-oscillating systems based on mechanical triple linkage: Testing absence of tangencies of stable and unstable manifolds for phase trajectories

, 2015
Dynamical equations are formulated and a numerical study is provided for self-oscillatory model systems based on the triple linkage hinge mechanism of Thurston -- Weeks -- Hunt -- MacKay.
A.V. Borisov, A.V. Borisov, A.V. Borisov, A.Yu. Jalnine, D.V. Anosov, F. Ginelli, F.R. Gantmacher, G. Benettin, G.M. Jenkins, H. Goldstein, L. Shilnikov, M. Kourganoff, M. L. S. Magalhães, N. L. Balazs, O.B. Isaeva, O.B. Isaeva, O.B. Isaeva, O.E. Rössler, P.V. Kuptsov, S. Smale, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, S.P. Kuznetsov, Sergey P. Kuznetsov, T. J. Hunt, V. S. Anishchenko, V.V. Kozlov, V.V. Kozlov, W.P. Thurston, Y.-Ch. Lai, Ya.B. Pesin, Ya.G. Sinaĭ   +40 more
core   +1 more source

Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan, Eldert van Henten, Peter Groot Koerkamp, Congcong Sun   +3 more
wiley   +1 more source

Boundedness and exponential stability of solutions to dynamic equations on time scales

Electronic Journal of Differential Equations, 2007
Making use of the generalized time scales exponential function, we give a new definition for the exponential stability of solutions for dynamic equations on time scales. Employing Lyapunov-type functions on time scales, we investigate the boundedness and
Ai-Lian Liu
doaj