Quadratic Lyapunov Functions for Stability of the Generalized Proportional Fractional Differential Equations with Applications to Neural Networks
R Almeida, RP Agarwal, S Hristova, D O'Regan - Axioms, 2021 - mdpi.com
… stability and the Mittag–Leffler stability of the equilibrium. For this, we extend the second
method of Lyapunov in … We emphasize that the regular stability has not been investigated yet. In …
method of Lyapunov in … We emphasize that the regular stability has not been investigated yet. In …
Lyapunov stability for measure differential equations
C D'Apice, R Manzo, B Piccoli… - Mathematical Control and …, 2024 - aimsciences.org
… discuss two concepts related to classical Lyapunov stability in … On the other hand, MDEs
can be used to study classical control … Notice that we use the brackets for the argument of V to …
can be used to study classical control … Notice that we use the brackets for the argument of V to …
Lyapunov-equation-based stability analysis for switched linear systems and its application to switched adaptive control
S Yuan, M Lv, S Baldi, L Zhang - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
… results of Theorem 3.1 and of Corollary 3.2: despite using different Lyapunov functions, we
have that the two results are equivalent in terms of achievable dwell time, as discussed in the …
have that the two results are equivalent in terms of achievable dwell time, as discussed in the …
On the asymptotic stability of solutions of stochastic differential delay equations of second order
O Tunç, C Tunç - Journal of Taibah University for Science, 2019 - Taylor & Francis
… as stability analysis, convergence analysis, asymptotic analysis… , for linear and non-linear
delay differential equations (DDEs) of … In this paper, the second functional method of Lyapunov-…
delay differential equations (DDEs) of … In this paper, the second functional method of Lyapunov-…
The connections between Lyapunov functions for some optimization algorithms and differential equations
JM Sanz Serna, KC Zygalakis - SIAM Journal on Numerical Analysis, 2021 - SIAM
… study the properties of a family of a second-order differential … For f \in Fm,L, we use the LMI
framework from [8] to derive … for a two-parameter family of Nesterov optimization methods (see …
framework from [8] to derive … for a two-parameter family of Nesterov optimization methods (see …
Converse theorems in Lyapunov's second method and applications for fractional order systems
J GALLEGOS… - Turkish Journal of …, 2019 - journals.tubitak.gov.tr
… the existence of Lyapunov functions for stable systems (see [12… results for differential equations;
before trying any function as a … With their application, a linearization equivalence to study …
before trying any function as a … With their application, a linearization equivalence to study …
Qualitative analyses of integro-fractional differential equations with Caputo derivatives and retardations via the Lyapunov–Razumikhin method
O Tunç, Ö Atan, C Tunç, JC Yao - Axioms, 2021 - mdpi.com
… The purpose of this paper is to investigate some qualitative … two methods mentioned, the
second Lyapunov method and … plan to investigate the uniformly stability, asymptotic stability, …
second Lyapunov method and … plan to investigate the uniformly stability, asymptotic stability, …
Lyapunov functions for fractional-order systems in biology: Methods and applications
A Boukhouima, K Hattaf, EM Lotfi, M Mahrouf… - Chaos, Solitons & …, 2020 - Elsevier
… are very successful and simple to solve differential equations with … method is presented
with proofs. Then, in Section 3, we apply our method to study the asymptotic stability of two …
with proofs. Then, in Section 3, we apply our method to study the asymptotic stability of two …
The direct method of Lyapunov for nonlinear dynamical systems with fractional damping
M Hinze, A Schmidt, RI Leine - Nonlinear Dynamics, 2020 - Springer
… differential equations with infinite delay and use the associated stability concept and
known theorems regarding Lyapunov … Finally, we study the example of a two degree-of-freedom …
known theorems regarding Lyapunov … Finally, we study the example of a two degree-of-freedom …
Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis
MA Gomez, AV Egorov, S Mondié, AP Zhabko - Systems & Control Letters, 2019 - Elsevier
… Lyapunov matrix for periodic time-delay systems that is based on the numerical solution of
a partial differential equations (… is stable and (ii) they are determined by the delay Lyapunov …
a partial differential equations (… is stable and (ii) they are determined by the delay Lyapunov …