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of 42
pro vyhledávání: '"primary 93b05"'
This paper considers the design of sparse actuator schedules for linear time-invariant systems. An actuator schedule selects, for each time instant, which control inputs act on the system in that instant. We address the optimal scheduling of control
Externí odkaz:
http://arxiv.org/abs/2407.12125
Autor:
Grong, Erlend, Schmeding, Alexander
In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact sequence which admits local sections. In other words, they form an inf
Externí odkaz:
http://arxiv.org/abs/2403.12742
Autor:
González-Burgos, Manuel, Ouaili, Lydia
Publikováno v:
Contemporary Mathematics Volume 757, 2020, pp. 109-126
In this work we present new results on the cost of the boundary controllability of parabolic systems at time $T > 0$. In particular, we will study optimal estimates of the control cost at time $T$ ($T$ small enough) when the eigenvalues of the genera
Externí odkaz:
http://arxiv.org/abs/2401.17349
Autor:
Dirr, Gunther
Given a parameter dependent fixed point equation $x = F(x,u)$, we derive an abstract compactness principle for the fixed point map $u \mapsto x^*(u)$ under the assumptions that (i) the fixed point equation can be solved by the contraction principle a
Externí odkaz:
http://arxiv.org/abs/2111.10460
We study the controllability of the multidimensional wave equation in a bounded domain with Dirichlet boundary condition, in which the support of the control is allowed to change over time. The exact controllability is reduced to the proof of the obs
Externí odkaz:
http://arxiv.org/abs/1805.02743
The present article discusses the exact observability of the wave equation when the observation subset of the boundary is variable in time. In the one-dimensional case, we prove an equivalent condition for the exact observability, which takes into ac
Externí odkaz:
http://arxiv.org/abs/1712.00797
Autor:
Guevara, Cristi, Leiva, Hugo
This article is devoted to study the interior approximated controllability of the strongly damped semilinear wave equation with memory, impulses and delay terms. The problem is challenging since the state equation contains memory and impulsive terms
Externí odkaz:
http://arxiv.org/abs/1704.02561
Autor:
Erbele, Jason Michael
Control theory uses `signal-flow diagrams' to describe processes where real-valued functions of time are added, multiplied by scalars, differentiated and integrated, duplicated and deleted. These diagrams can be seen as string diagrams for the PROP F
Externí odkaz:
http://arxiv.org/abs/1611.07591
This paper is addressed to establishing an internal observability estimate for some linear stochastic hyperbolic equations. The key is to establish a new global Carleman estimate for forward stochastic hyperbolic equations in the $L^2$-space. Differe
Externí odkaz:
http://arxiv.org/abs/1511.00819
Autor:
Hanba, Shigeru
Publikováno v:
Automatica, Vol. 75, pp. 154-157, 2017
The problem of state-feedback stabilizability of discrete-time nonlinear systems has been considered in this note. Two assertions have been proved. First, if the system is $N$-step controllable to the origin, then there is a state feedback control la
Externí odkaz:
http://arxiv.org/abs/1505.05937