Results 41 to 50 of about 42,377 (221)

The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system

Journal of Inequalities and Applications, 2019
The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
doaj   +1 more source

A looped-functional approach for robust stability analysis of linear impulsive systems

, 2012
A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped-functionals, considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid of exponential terms.
Alexandre Seuret, Bainov, Briat, Cai, Corentin Briat, Dullerud, Geromel, Goebel, Hespanha, Liberzon, Lin, Loxton, Michel, Naghshtabrizi, Oishi, Seuret, Sivashankar, Skelton, Stone, Verriest, Yang, Yu   +21 more
core   +3 more sources

AI in chemical engineering: From promise to practice

AIChE Journal, EarlyView.
Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew, Ronnie Andersson, Thomas Bierweiler, Patrik Ryttestal, Torsten Wik   +4 more
wiley   +1 more source

H∞ Control for a Networked Control Model of Systems with Two Additive Time-Varying Delays

Abstract and Applied Analysis, 2014
This paper is concerned with H∞ control for a networked control model of systems with two additive time-varying delays. A new Lyapunov functional is constructed to make full use of the information of the delays, and for the derivative of the Lyapunov ...
Hanyong Shao, Zhengqiang Zhang, Xunlin Zhu, Guoying Miao   +3 more
doaj   +1 more source

On the Lyapunov functional of Leslie-Gower predator-prey models with time-delay and Holling's functional responses

Electronic Journal of Qualitative Theory of Differential Equations, 2012
The global stability on the dynamical behavior of the Leslie-Gower predator-prey system with delayed prey specific growth is analyzed by constructing the corresponding Lyapunov functional.
Chao-Pao Ho, Che-Hao Lin, Huang-Nan Huang   +2 more
doaj   +1 more source

A Convex Approach to Hydrodynamic Analysis

, 2015
We study stability and input-state analysis of three dimensional (3D) incompressible, viscous flows with invariance in one direction. By taking advantage of this invariance property, we propose a class of Lyapunov and storage functionals.
Ahmadi, Mohamadreza, Papachristodoulou, Antonis, Valmorbida, Giorgio   +2 more
core   +1 more source

Smoothing Lyapunov functions

Transactions of the American Mathematical Society, 2018
Since \textit{C. Conley}'s work [Ergodic Theory Dyn. Syst. 8, 11--26 (1988; Zbl 0687.58033); Isolated invariant sets and the Morse index. Providence, RI: American Mathematical Society (AMS) (1978; Zbl 0397.34056)], which showed the strong relation between Lyapunov functions and chain-recurrence, Lyapunov functions are also used to study general ...
Fathi, Albert, Pageault, Pierre
openaire   +1 more source

Epidemiological Models and Lyapunov Functions [PDF]

Mathematical Modelling of Natural Phenomena, 2007
Summary: We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments ...
A. Fall, A., Iggidr, Abderrahman, Sallet, Gauthier, Tewa, Jean-Jules   +3 more
openaire   +3 more sources

Model‐based fault diagnosis and fault tolerant control in safety‐critical chemical reactors: An experimental study

AIChE Journal, EarlyView.
Abstract This study investigates a fault‐tolerant control (FTC) approach for continuous stirred‐tank reactors (CSTR), emphasizing the importance of timely interventions to ensure operational safety under fault conditions. A systematic methodology combining residual‐based fault estimation and Dynamic Safety Margin (DSM) monitoring is developed to guide ...
Pu Du, Ritu Ranjan, Benjamin Wilhite, Costas Kravaris   +3 more
wiley   +1 more source

Generalized Chaotic Synchronizationin Coupled Ginzburg-Landau Equations

, 2006
Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling betweenthe systems are analyzed.
A. A. Koronovskiĭ, A. A. Koronovskiĭ, A. A. Koronovskiĭ, A. A. Koronovskiĭ, A. E. Hramov, A. E. Hramov, A. E. Hramov, A. E. Hramov, A. E. Hramov, A. E. Hramov, A. E. Hramov, A. L. Fradkov, A. Martian, A. Pikovsky, A. Pikovsky, A. S. Dmitriev, A. Wolf, C. Schäfer, D. I. Trubetskov, D. I. Trubetskov, D. Walgraef, F. Bauer, G. Benettin, H. D. I. Abarbanel, I. S. Aranson, J. García-Ojalvo, J. K. White, J. P. Eckmann, K. Murali, K. Murali, K. Pyragas, K. Pyragas, L. Junge, L. Kocarev, L. Kocarev, L. Kocarev, L. M. Pecora, L. M. Pecora, M. G. Rosenblum, M. G. Rosenblum, M. G. Rosenblum, M. I. Rabinovich, M. I. Tribel’skiĭ, N. F. Rulkov, N. F. Rulkov, N. V. Karlov, P. J. Roach, P. Parmananda, P. V. Popov, R. Brown, R. C. Elson, R. Toral, S. Boccaletti, S. Boccaletti, S. Boccaletti, S. Boccaletti, S. P. Kuznetsov, V. S. Afraimovich, V. S. Anishchenko, V. S. Anishchenko, Z. Tasev   +60 more
core   +2 more sources