Results 21 to 30 of about 403 (50)

Improved Results on Robust Stability of Multivariable Interval Control Systems [PDF]

arXiv, 2002
For interval polynomial matrices, we identify the minimal testing set, whose stability can guarantee that of the whole uncertain set. Our results improve the conclusions given by Kamal and Dahleh.
arxiv  

An abstract Nyquist criterion containing old and new results [PDF]

Journal of Mathematical Analysis and its Applications 370 (2010), no. 2, 703-715, 2010
We prove an abstract Nyquist criterion in a general set up. As applications, we recover various versions of the Nyquist criterion, some of which are new.
arxiv  

Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay

Open Mathematics
We study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
doaj   +1 more source

Extension of the $ν$-metric [PDF]

arXiv, 2010
We extend the $\nu$-metric introduced by Vinnicombe in robust control theory for rational plants to the case of infinite-dimensional systems/classes of nonrational transfer functions.
arxiv  

Stabilization by switching control methods [PDF]

arXiv, 2011
In this paper we consider some stabilization problems for the wave equation with switching. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula and some energy estimates.
arxiv  

Simultaneous stabilization, avoidance and Goldberg's constants [PDF]

arXiv, 2012
This is an exposition for mathematicians of some unsolved problems arising in control theory of linear time-independent systems.
arxiv  

A generalized result of output stabilizability [PDF]

Appl. Math. Sci., Vol. 5, 2011, no. 9-12, 495-500, 2014
Output stabilizability of a class of infinite dimensional linear systems is studied in this paper. A criterion for the system to be output stabilizable by a linear bounded feedback $u=Fx$, $F\in L(Z,\mathbb{R}^{^{p}})$ will be given.
arxiv  

Further finding results for cycles by semilinear control [PDF]

arXiv, 2017
We provide a simple method for detecting of cycles in discrete autonomous vector dynamical systems. The method generalizes some results by O.Morgul.
arxiv  

Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order [PDF]

arXiv, 2002
For any two $n$-$th$ order polynomials $a(s)$ and $b(s),$ the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial $c(s)$ such that $c(s)/a(s)$ and $c(s)/b(s)$ are both strictly positive real.
arxiv  

Generalized persistency of excitation [PDF]

arXiv, 2006
The paper presents the generalized persistency of excitation conditions. They are not only valid for much broader range of applications than their classical counterparts but also elegantly prove the validity of the latter. The novelty and the significance of the approach presented in this publication is due to employing the time averaging technique.
arxiv