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IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), ISSN 0272-4960, 03/2018, Volume 83, Issue 2, pp. 323 - 346
In the current paper the so-called REaction-DIffusion Manifold (REDIM) method of model reduction is discussed within the framework of standard singular... 
reaction-diffusion system | REDIM | invariant manifold | singularly perturbed profiles | FLAMES | MATHEMATICS, APPLIED | KINETIC-MODELS | EQUATIONS | EXTENSION | REDUCTION | REACTION-DIFFUSION MANIFOLDS | SYSTEMS | STEADY-STATE
Journal Article
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 02/2019, Volume 30, Issue 2, pp. 415 - 426
Journal Article
Automatica, ISSN 0005-1098, 11/2018, Volume 97, pp. 404 - 413
This paper presents a sliding mode control (SMC) method for a class of nonlinear Markovian jump singularly perturbed systems (MJSPSs). The system is subject to... 
Markovian jump systems | Singularly perturbed systems (SPS) | Sliding mode control (SMC) | Singularly perturbed systems | LINEAR-SYSTEMS | H-INFINITY-CONTROL | CONTROL DESIGN | DELAY | STOCHASTIC-SYSTEMS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Markov processes | Analysis
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 07/2018, Volume 328, pp. 247 - 262
This paper focuses on the analysis and design of dissipativity-based fault-tolerant controller for discrete-time nonlinear Markov jump singularly perturbed... 
Singularly perturbed systems | Slow state feedback | Dissipativity-based fault-tolerant control | Markov jump nonlinear systems | MATHEMATICS, APPLIED | CONTROL DESIGN | BOUNDARY-VALUE-PROBLEMS | TIME-DELAY | H-INFINITY CONTROL | LMI APPROACH | SYNCHRONIZATION | NETWORKED SYSTEMS | NEURAL-NETWORKS | POLE-PLACEMENT CONSTRAINTS
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2019, Volume 78, Issue 10, pp. 3329 - 3344
A finite difference method is constructed for a singularly perturbed convection–diffusion problem posed on an annulus. The method involves combining polar... 
Annulus | Shishkin mesh | Singularly perturbed | Convection–diffusion | MATHEMATICS, APPLIED | Shish kin mesh | Convection-diffusion | EQUATIONS | CONVERGENCE | Operators (mathematics) | Numerical analysis | Parameters | Numerical methods | Test procedures | Finite differences | Polar coordinates | Annuli | Convection | Finite difference method
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2017, Volume 35, pp. 312 - 335
In this paper we provide an elementary proof of the existence of canard solutions for a class of singularly perturbed planar systems in which there occurs a... 
Delayed stability switch | Canard solutions | Multiple time scales | Singularly perturbed dynamical systems | Predator–prey models | Tikhonov theorem | MATHEMATICS, APPLIED | Predator-prey models | AUTONOMOUS SYSTEMS | MANIFOLDS | LIMIT-CYCLES | EXCHANGE | BIFURCATION
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 346, pp. 385 - 394
In this article, we propose a parameter–uniformly convergent numerical method for viscous Burgers’ equation. In order to find a numerical approximation to... 
Finite difference scheme | Uniform convergence | Burgers’ equation | Singularly perturbed parabolic problem | Equidistribution grid | Boundary layers | SCHEME | MATHEMATICS, APPLIED | Burgers' equation | DIFFERENCE APPROXIMATIONS
Journal Article
IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, 03/2019, Volume 66, Issue 3, pp. 452 - 456
This brief addresses the problems of passivity-based integral sliding mode control (ISMC) and epsilon-bound estimation for uncertain singularly perturbed... 
integral sliding mode control (ISMC) | passivity | ϵ-bound | Singularly perturbed systems (SPSs) | DESIGN | epsilon-bound | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2019, Volume 77, Issue 5, pp. 1245 - 1254
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2018, Volume 75, Issue 7, pp. 2387 - 2403
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2015, Volume 271, pp. 168 - 186
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 04/2016, Volume 296, pp. 10 - 23
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 07/2016, Volume 85, Issue 1, pp. 573 - 582
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s11071-016-2707-3 This... 
Singularly perturbed systems | Input-to-state stability (ISS) | Sliding mode control (SMC) | Linear matrix inequality (LMI) | Upper bounds | Dynamic stability | Control systems | Attenuation | Control theory | Linear matrix inequalities | Criteria | State estimation | Matrix methods | Sliding mode control
Journal Article
Mathematics and Computers in Simulation, ISSN 0378-4754, 11/2019, Volume 165, pp. 255 - 270
In this study, we propose a new scheme named as complete flux scheme (CF-scheme) based on the finite volume method for solving singularly perturbed... 
Flux | Singularly perturbed problems | Differential–difference equations | Integral representation of the flux | Finite volume methods | Computer Science(all) | Theoretical Computer Science | Numerical Analysis | Modelling and Simulation | Applied Mathematics
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 05/2017, Volume 94, Issue 5, pp. 902 - 921
This paper studies the numerical solutions of singularly perturbed parabolic convection-diffusion problems with a delay in time. We divide the domain using a... 
Singularly perturbed delay parabolic problem | piecewise-uniform mesh | boundary layer | 65M06 | uniform convergence | CR G1.8 | upwind scheme | 65M12 | CONVECTION-DIFFUSION PROBLEMS | MATHEMATICS, APPLIED | EQUIDISTRIBUTED GRIDS | Computer simulation | Mathematical analysis | Maximum principle | Mathematical models | Derivatives | Delay | Convergence | Finite difference method
Journal Article
Automatica, ISSN 0005-1098, 02/2013, Volume 49, Issue 2, pp. 457 - 462
This paper considers the stabilization bound problem for singularly perturbed systems (SPSs) subject to actuator saturation. A state feedback stabilization... 
Singularly perturbed systems | Stabilization bound | Convex optimization | Actuator saturation | LINEAR-SYSTEMS | DESIGN | FEEDBACK CONTROL | STABILITY BOUNDS | STATE-FEEDBACK | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Actuators | Control equipment industry | Analysis
Journal Article
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