Results 161 to 170 of about 3,016 (203)

Rank-one LMIs and Lyapunov's inequality

IEEE Transactions on Automatic Control, 2001
The paper proposes an alternative proof of Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. This new proof does not refer to stability of the trajectories of an associated dynamical system and does not use matrix exponentials.
Didier Henrion, G Meinsma
exaly   +5 more sources

On Lyapunov-type inequality for quasilinear systems

Applied Mathematics and Computation, 2010
A Lyapunov-type inequality is derived for the quasilinear system \[ -\left(r_1(x)|u'(x)|^{p-2}u'(x)\right)'=f_1(x) |u(x)|^{\alpha-2}u(x)|v(x)|^{\beta}, \] \[ -\left(r_2(x)|v'(x)|^{q-2}v'(x)\right)'=f_2(x) |u(x)|^{\theta}|v(x)|^{\gamma-2}v(x), \] where both components of the solution \((u(x),v(x))\) have consecutive zeros at the points \(a,b\in\mathbb R\
Devrim Cakmak
exaly   +3 more sources

Lyapunov-type inequality for quasilinear systems

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong-In Kim, Kueiming Lo
exaly   +2 more sources

On the multivariate Lyapunov inequalities

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On inequalities of Lyapunov type

Applied Mathematics and Computation, 2003
We generalize the classical Lyapunov inequality for second-order linear differential equations to nonlinear differential equations of second order and then to higher order linear differential equations.
openaire   +1 more source

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