Results 71 to 80 of about 46,821 (215)
A NOTE ON AN INEQUALITY SIMILAR TO LYAPUNOV'S INEQUALITY
Demonstratio Mathematica, 1995 The author proves a number of Lyapunov inequalities for the differential equation \[ (|y'(t)|^{p-2} y'(t))'+q(t)|y(t)|^{p-2} y(t)=0, \qquad p>1, \] where \(t\in I[0,\infty)\) and \(I\) contains the points \(a,b ...
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Lyapunov-type inequalities for partial differential equations
Journal of Functional Analysis, 2016 In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $ $. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace operator with zero Dirichlet boundary condition.
Pablo L. de Nápoli, Juan P. Pinasco
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Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach +2 more
wiley +1 more source
Journal of Applied Mathematics, 2012 The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in ...
Weiwei Zhang, Linshan Wang
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan +3 more
wiley +1 more source
Lyapunov‐Type Inequalities for the Quasilinear Difference Systems
Discrete Dynamics in Nature and Society, 2012 We establish several Lyapunov‐type inequalities for quasilinear difference systems, which generalize or improve all related existing ones. Applying these results, we also obtain some lower bounds for the first eigencurve in the generalized spectra.
Qi-Ming Zhang, X. H. Tang
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CuboIn this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an approach in the existing literature ...
Satyam Narayan Srivastava +4 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha +1 more
wiley +1 more source
Lyapunov-type inequality and solution for a fractional differential equation
Journal of Inequalities and Applications, 2020 In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem.
Dexiang Ma, Zifa Yang
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Lyapunov Theorems for Systems Described by Retarded Functional Differential Equations
, 2005 Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of uncertain systems described by retarded functional differential equations are ...
Karafyllis, Iasson
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