- An Operator Splitting Scheme for Distributed Optimal Load-side Frequency Control with Nonsmooth Cost Functions
2023/11/20 by Yifan Wang, Wang, Yifan, Shuai Liu +5 · 2 citations
Engineering · Mathematics · #Automatic frequency control #Computer science #Control (management) #Control theory (sociology) #Convergence (economics) #Electric power system #Exponential stability #FOS: Mathematics #Frequency Control in Power Systems #Lyapunov function #Mathematical optimization #Mathematics #Microgrid Control and Optimization #Operator (biology) #Optimization and Control (math.OC) #Power (physics) #Power Balance #Power System Optimization and Stability #Robustness (evolution) #Telecommunications
- Practical exponential stability of switched homogeneous positive nonlinear systems with stable and unstable modes
2023/06/20 by Yazhou Tian, Mengqian Liang, Yuangong Sun · 1 citation
Engineering · Mathematics · #Applied mathematics #Combinatorics #Computer science #Control and Stability of Dynamical Systems #Control theory (sociology) #Exponential function #Exponential growth #Exponential stability #Homogeneous #Lyapunov function #Mathematical analysis #Mathematics #Nonlinear system #Perturbation (astronomy) #Physics #Separable space #Stability (learning theory) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations
- A model predictive control framework with robust stability guarantees under unbounded disturbances
2022/07/20 by Johannes Köhler, Köhler, Johannes, Melanie N. Zeilinger +1 · 1 citation
Engineering · Mathematics · Medicine · #Advanced Control Systems Optimization #Bounded function #Cardiovascular Function and Risk Factors #Computer science #Constraint (computer-aided design) #Control (management) #Control theory (sociology) #Exponential stability #FOS: Electrical engineering #FOS: Mathematics #Fault Detection and Control Systems #Lyapunov function #Mathematical optimization #Mathematics #Model predictive control #Nonlinear system #Optimization and Control (math.OC) #Quadratic equation #Robustness (evolution) #Stability (learning theory) #Stability theory #Systems and Control (eess.SY) #electronic engineering #information engineering
- Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities
2021/05/29 by Hans Lindblad, Jonas Lührmann, Avy Soffer · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Constant (computer programming) #Constant coefficients #Exponential stability #Geometry #Klein–Gordon equation #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quadratic equation #Quantum mechanics #Scalar (mathematics) #Scalar field #Variable (mathematics) #Variable coefficient #Work (physics)
- Set Membership Identification of Linear Systems With Guaranteed Simulation Accuracy
2020/01/28 by Marco Lauricella, Lorenzo Fagiano · 3 citations
Engineering · #Advanced Control Systems Optimization #Bounded function #Control Systems and Identification #Control theory (sociology) #Exponential stability #Identification (biology) #Impulse (physics) #Linear system #Noise (video) #Set (abstract data type) #Stability (learning theory) #Stability and Control of Uncertain Systems #System identification
- An Abstract Birkhoff Normal Form Theorem and Exponential Type Stability of the 1d NLS
2019/11/18 by Luca Biasco, Jessica Elisa Massetti, Michela Procesi · 11 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Class (philosophy) #Diophantine equation #Exponential function #Exponential stability #Mathematical analysis #Mathematics #Nonlinear system #Numerical methods for differential equations #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Sobolev space #Stability (learning theory) #Type (biology)
- Event-Triggered Global Finite-Time Control for a Class of Uncertain Nonlinear Systems
2019/07/15 by Cui-Hua Zhang, Cuihua Zhang, Guang-Hong Yang +1 · 2 citations
Computer Science · Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Adaptive Dynamic Programming Control #Adaptive control #Artificial intelligence #Backstepping #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Event (particle physics) #Exponential stability #Lyapunov function #Mathematics #Nonlinear system #Stability (learning theory) #Stability and Control of Uncertain Systems #Zeno's paradoxes
- Dynamic output feedback stabilization of switched linear systems with delay via a trajectory based approach
2018/03/28 by Saeed Ahmed, Frédéric Mazenc, Hitay Özbay · 3 citations
Engineering · Mathematics · #Bounded function #Computer science #Constraint (computer-aided design) #Control (management) #Control and Stability of Dynamical Systems #Control theory (sociology) #Exponential stability #Function (biology) #Lyapunov function #Mathematical analysis #Mathematics #Nonlinear system #Piecewise #Stability (learning theory) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Time derivative #Trajectory
- Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems
2016/07/27 by Lantao Xing, Changyun Wen, Zhitao Liu +2 · 24 citations
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Adaptive control #Advanced Control Systems Optimization #Artificial intelligence #Bounded function #Class (philosophy) #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Event (particle physics) #Exponential stability #Lipschitz continuity #Mathematical optimization #Mathematics #Nonlinear system #Set (abstract data type) #Stability (learning theory) #Stability and Control of Uncertain Systems #Tracking error
- Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete time-delay systems
2015/05/16 by Xian‐Ming Zhang, Xian-Ming Zhang, Qing-Long Han +1 · 3 citations
Computer Science · Engineering · Mathematics · #Applied mathematics #Circle criterion #Computer science #Convex optimization #Discrete time and continuous time #Exponential stability #Jensen's inequality #Lemma (botany) #Linear matrix inequality #Lyapunov function #Mathematical analysis #Mathematical optimization #Mathematics #Matrix Theory and Algorithms #Nonlinear system #Stability (learning theory) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Stability criterion #Statistics #Upper and lower bounds #Weighting
- On uniform semiglobal exponential stability (USGES) of proportional line-of-sight guidance laws
2014/10/24 by Thor I. Fossen, Kristin Y. Pettersen · 12 citations
Computer Science · Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Aerospace engineering #Artificial intelligence #Cascade #Computer science #Control (management) #Control and Dynamics of Mobile Robots #Control theory (sociology) #Controller (irrigation) #Engineering #Exponential function #Exponential stability #Guidance system #Law #Line-of-sight #Mathematical analysis #Mathematics #Nonlinear system #Path (computing) #Physics #Robotic Path Planning Algorithms #Stability (learning theory)
- On the Stabilizability and Consensus of Positive Homogeneous Multi-Agent Dynamical Systems
2014/01/31 by Maria Elena Valcher, Pradeep Misra, Pradeep Kumar Mısra · 6 citations
Computer Science · Engineering · Mathematics · #Algorithm #Applied mathematics #Artificial intelligence #Combinatorics #Computer science #Constraint (computer-aided design) #Control (management) #Control theory (sociology) #Controller (irrigation) #Distributed Control Multi-Agent Systems #Dynamical systems theory #Exponential stability #Homogeneous #Mathematical optimization #Mathematics #Multi-agent system #Neural Networks Stability and Synchronization #Nonlinear system #Physics #Space (punctuation) #Stability (learning theory) #Stability and Control of Uncertain Systems #State (computer science) #State space
- Stability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov–Krasovskii functional
2012/12/25 by O.M. Kwon, O’Dae Kwon, M.J. Park +5 · 1 citation
Computer Science · Engineering · Mathematics · #Computer science #Control (management) #Control theory (sociology) #Discrete time and continuous time #Exponential stability #Interval (graph theory) #Mathematics #Matrix Theory and Algorithms #Neural Networks Stability and Synchronization #Nonlinear system #Stability (learning theory) #Stability and Control of Uncertain Systems #Stability conditions
- Decay Structure for Symmetric Hyperbolic Systems with Non-Symmetric Relaxation and its Application
2012/03/23 by Yoshihiro Ueda, Renjun Duan, Shuichi Kawashima · 5 citations
Chemistry · Engineering · Mathematics · #Advanced Mathematical Physics Problems #Applied mathematics #Chemistry #Computer science #Dissipative system #Exponential stability #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Navier-Stokes equation solutions #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Relaxation (psychology) #Stability (learning theory) #Stability and Controllability of Differential Equations #Term (time) #Thermodynamics #Type (biology) #math.AP
- The Viscous Surface-Internal Wave Problem: Global Well-Posedness and Decay
2011/09/26 by Yanjin Wang, Ian Tice, Chanwoo Kim · 16 citations
Mathematics · #Advanced Mathematical Physics Problems #Boundary (topology) #Boundary value problem #Classical mechanics #Compressibility #Exponential decay #Exponential function #Exponential stability #Free surface #Geometric Analysis and Curvature Flows #Geometry #Instability #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Nonlinear system #Physics #Rayleigh–Taylor instability #Surface (topology) #Surface tension #Thermodynamics #Viscous liquid #math.AP #msc:35B40 #msc:35Q30 #msc:35R35 #msc:76D03 #msc:76D45 #msc:76E17
- Stabilization for a coupled PDE–ODE control system
2011/07/19 by Shuxia Tang, Shu‐Xia Tang, Chengkang Xie · 8 citations
Engineering · Mathematics · #Adaptive control #Advanced Mathematical Physics Problems #Applied mathematics #Backstepping #Boundary (topology) #Bounded function #Cascade #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Engineering #Exponential stability #Invertible matrix #Mathematical analysis #Mathematics #Nonlinear system #Numerical methods for differential equations #Ode #Physics #Pure mathematics #Stability and Controllability of Differential Equations #Transformation (genetics)
- Hybrid feedback stabilization of systems with quantized signals
2003/06/09 by Daniel Liberzon · 12 citations
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Algorithm #Artificial intelligence #Computer science #Control (management) #Control system #Control theory (sociology) #Engineering #Exponential stability #Hybrid system #Lyapunov function #Mathematics #Nonlinear system #Quantization (signal processing) #Stability (learning theory) #Stability and Control of Uncertain Systems #State (computer science)
- Global Stability for a Class of Predator-Prey Systems
1995/06/01 by Sze‐Bi Hsu, Sze-Bi Hsu, Tzy-Wei Huang · 1 citation
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Biology #Class (philosophy) #Computer science #Control theory (sociology) #Ecology #Exponential stability #Liapunov function #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear system #Physics #Predation #Predator #Stability (learning theory) #Stability theory
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
1986/01/01 by Jonathan Goodman · 39 citations
Engineering · Mathematics · #Applied mathematics #Artificial intelligence #Classical mechanics #Complex system #Computational Fluid Dynamics and Aerodynamics #Computer science #Conservation law #Exponential stability #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Nonlinear system #Physics #Shock (circulatory) #Stability (learning theory) #Stability and Controllability of Differential Equations
- Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity
1981/06/01 by M. Slemrod, Marshall Slemrod · 8 citations
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Applied mathematics #Complex system #Computer science #Exponential stability #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Nonlinear system #Physics #Stability (learning theory) #Stability and Controllability of Differential Equations #Uniqueness
- Asymptotic stability in viscoelasticity
1970/01/01 by Constantine M. Dafermos · 25 citations
Chemical Engineering · Engineering · Materials Science · Mathematics · #Applied mathematics #Artificial intelligence #Classical mechanics #Complex system #Computer science #Elasticity and Material Modeling #Exponential stability #Mathematical analysis #Mathematics #Nonlinear system #Physics #Polymer crystallization and properties #Quantum mechanics #Rheology and Fluid Dynamics Studies #Stability (learning theory) #Thermodynamics #Viscoelasticity