Results 31 to 40 of about 108,486 (247)

Economic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control

, 2017
This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance.
Hu, Guoqiang, Wang, Zheming
core   +1 more source

Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser

Advanced Science, EarlyView.
An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu, Aswathy Sundaresan, Nazire‐Begüm Kazkal, Clement Lafargue, Lior Zarfaty, Li‐Gang Wang, Ofek Birnholtz, Dominique Decanini, Melanie Lebental, Patrick Sebbah   +9 more
wiley   +1 more source

Applications of Lyapunov Functions to Caputo Fractional Differential Equations

Mathematics, 2018
One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

Finite-Time Lyapunov Functions and Impulsive Control Design

Complexity, 2020
In this paper, we introduce finite-time Lyapunov functions for impulsive systems. The relaxed sufficient conditions for asymptotic stability of an equilibrium of an impulsive system are given via finite-time Lyapunov functions.
Huijuan Li, Qingxia Ma
doaj   +1 more source

New Conditions of Analysis and Synthesis for Periodic Piecewise Linear Systems With Matrix Polynomial Approach

IEEE Access, 2020
In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li, Mali Xing, Yun Liu, Bin Zhang   +3 more
doaj   +1 more source

Analysis of a stochastic 2D–Navier-Stokes model with infinite delay [PDF]

, 2019
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics are established. The existence and uniqueness of solutions in the case of unbounded (infinite) delay are first proved by using the ...
Caraballo Garrido, Tomás, Liu, Linfang
core  

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

Lyapunov Stability of Quasiperiodic Systems [PDF]

Mathematical Problems in Engineering, 2012
We present some observations on the stability and reducibility of quasiperiodic systems. In a quasiperiodic system, the periodicity of parametric excitation is incommensurate with the periodicity of certain terms multiplying the state vector. We present a Lyapunov‐type approach and the Lyapunov‐Floquet (L‐F) transformation to derive the stability ...
openaire   +2 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

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