Results 11 to 20 of about 83,867 (245)
LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS [PDF]
Journal of the Australian Mathematical Society, 2020 AbstractIn this article, we establish a Lyapunov-type inequality for the following extremal Pucci’s equation:$$\begin{eqnarray}\left\{\begin{array}{@{}ll@{}}{\mathcal{M}}_{\unicode[STIX]{x1D706},\unicode[STIX]{x1D6EC}}^{+}(D^{2}u)+b(x)|Du|+a(x)u=0 & \text{in}~\unicode[STIX]{x1D6FA},\\ u=0 & \text{on}~\unicode[STIX]{x2202}\unicode[STIX]{x1D6FA},\
J. TYAGI, R. B. VERMA
openaire +2 more sources
Lyapunov control of bilinear Schrödinger equations [PDF]
Automatica, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirrahimi, Mazyar +2 more
openaire +3 more sources
The Minkowski–Lyapunov equation [PDF]
Automatica, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Solving Rank-Structured Sylvester and Lyapunov Equations [PDF]
SIAM Journal on Matrix Analysis and Applications, 2018 We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium and large scale, in case of rank-structured data, i.e., when the coefficient matrices and the right-hand side have low-rank off-diagonal blocks. This comprises problems with banded data, recently studied by Haber and Verhaegen in "Sparse solution of the Lyapunov ...
Massei, Stefano +2 more
openaire +4 more sources
Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
doaj +1 more source
$\Psi$-bounded solutions for a Lyapunov matrix differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
doaj +1 more source
Lyapunov exponents from geodesic spread in configuration space [PDF]
, 1998 The exact form of the Jacobi -- Levi-Civita (JLC) equation for geodesic spread is here explicitly worked out at arbitrary dimension for the configuration space manifold M_E = {q in R^N | V(q) < E} of a standard Hamiltonian system, equipped with the ...
G. Benettin +13 more
core +2 more sources
SICE Journal of Control, Measurement, and System Integration, 2019 We consider solving a large-scale Lyapunov equation for a multi-agent system. As is well known, the Lyapunov equation can be solved by equivalently rewriting it as a system of linear equations.
Asuka Ohashi, Kiyotsugu Takaba
doaj +1 more source
Nonautonomous Dynamical Systems, 2016 In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10]
Raffoul Youssef, Rai Habib
doaj +1 more source
Noise-Induced Stabilization of Planar Flows I [PDF]
, 2015 We show that the complex-valued ODE \begin{equation*} \dot z_t = a_{n+1} z^{n+1} + a_n z^n+\cdots+a_0, \end{equation*} which necessarily has trajectories along which the dynamics blows up in finite time, can be stabilized by the addition of an ...
Herzog, David P., Mattingly, Jonathan C.
core +4 more sources