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Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 5, pp. 1810 - 1821
Stability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct method with the introductions of Mittag–Leffler stability and... 
Nonautonomous system | Fractional Lyapunov direct method | Fractional comparison principle | Generalized Mittag–Leffler stability | Fractional-order dynamic system | Generalized Mittag-Leffler stability | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Journal Article
Physics Letters A, ISSN 0375-9601, 06/2016, Volume 380, Issue 25-26, pp. 2142 - 2149
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 02/2013, Volume 58, Issue 2, pp. 475 - 481
Journal Article
IET Control Theory & Applications, ISSN 1751-8644, 11/2018, Volume 12, Issue 17, pp. 2417 - 2422
Journal Article
Neural Networks, ISSN 0893-6080, 2007, Volume 20, Issue 3, pp. 391 - 403
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 233, Issue 4, pp. 1035 - 1045
This paper is concerned with the numerical solution of large scale Sylvester equations A X − X B = C , Lyapunov equations as a special case in particular... 
Factored ADI method | Galerkin projection | Sylvester equation | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | RANK SMITH METHOD | KRYLOV-SUBSPACE METHODS | LYAPUNOV EQUATIONS | IDENTIFICATION
Journal Article
Foundations of Computational Mathematics, ISSN 1615-3375, 2019, Volume 20, Issue 1, pp. 119 - 154
This work considers the question: what convergence guarantees does the stochastic subgradient method have in the absence of smoothness and convexity? We prove... 
Proximal | Subgradient | Tame | Semialgebraic | Stochastic subgradient method | Differential inclusion | Lyapunov function | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATIONS | COMPUTER SCIENCE, THEORY & METHODS | Queuing theory | Convexity | Smoothness | Machine learning | Convergence
Journal Article
Neurocomputing, ISSN 0925-2312, 11/2018, Volume 317, pp. 127 - 136
This paper presents improved criteria for global exponential stability of reaction–diffusion neural networks with time-varying delays. A novel... 
Lyapunov method | Time-varying delays | Linear matrix inequality (LMI) | Reaction–diffusion neural networks | CRITERIA | EXPONENTIAL STABILITY | Reaction-diffusion neural networks | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 10/2010, Volume 55, Issue 10, pp. 2259 - 2270
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2016, Volume 26, Issue 13, p. 1650226
In this letter, a very simple method to calculate the positive Largest Lyapunov Exponent (LLE) based on the concept of interval extensions and using the... 
Chaos | pseudo-orbits | largest Lyapunov exponent | lower bound error | interval extension | ATTRACTORS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | TIME-SERIES | SYSTEMS | Methods | Algorithms
Journal Article
Nonlinear Dynamics: an international journal of nonlinear dynamics and chaos in engineering systems, ISSN 0924-090X, 2016, Volume 86, Issue 2, pp. 823 - 834
Journal Article
International Journal of Modelling, Identification and Control, ISSN 1746-6172, 2015, Volume 23, Issue 1, pp. 92 - 100
Synchronisation of chaotic systems is an important research problem in chaos theory. In this research work, a novel sliding mode control method is proposed for... 
Chaos | Zhu system | SMC | Lyapunov stability theory | Chaos synchronisation | Chaotic systems | Sliding mode control | Design engineering | Stability | Computer simulation | Sliding mode | Chaos theory | Control systems | Mathematical models | Models
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2020, Volume 370, p. 112674
In the present paper, we present some numerical methods for computing approximate solutions to some large differential linear matrix equations. In the first... 
Matrix Krylov subspace | Global Arnoldi | Lyapunov equation | Sylvester equation | MATHEMATICS, APPLIED | APPROXIMATIONS | ALGORITHMS
Journal Article