| Title | : | Exact controllability and stabilization: The multiplier method (Research in applied mathematics) |
| Author | : | V Komornik |
| Language | : | en |
| Rating | : | 4.90 out of 5 stars |
| Type | : | PDF, ePub, Kindle |
| Uploaded | : | Apr 11, 2021 |
Read Exact controllability and stabilization: The multiplier method (Research in applied mathematics) - V Komornik | PDF
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The null local exact controllability of semilinear first-order systems by means of results to the exact controllability of the semilinear wave equation.
The first part examines exact boundary controllability problems using the hilbert uniqueness method. Of special note: the multiplier method, applied systematically, is remarkably elementary and efficient.
Generally, two main types of controllability are considered for deterministic systems: exact and approximate. If by a specific choice of admissible controls the system can be transmitted from a given state to a required state within a finite amount of time exactly, it is called exactly controllable.
Exact controllability is studied for distributed systems, of hyperbolic type or for petrowsky systems (like plate equations). The control is a boundary control or a local distributed control. Exact controllability consists in trying to drive the system to rest in a given finite time.
Jan 25, 2021 exact controllability and stabilization of locally coupled wave equations: theoretical results stéphane gerbi chiraz kassem amina mortada.
Exact boundary controllability of the navier-stokes equations1. Local exact distributed controllability of the navier-stokes equations1. Exact local controllability and approximate controllability of the boussinesq system1.
Chapouly, global controllability of a nonlinear korteweg-de vries, communications in contemporary mathematics, 11 (2009), 495-521. Crépeau, exact controllability of the boussinesq equation on a bounded domain, differential integral equations, 16 (2003), 303-326.
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We prove exact boundary controllability for the rayleigh beam equation with a single boundary control active at one end of the beam. This result is used to prove exact boundary controllability of the multilayer rao-nakra beam, which contains the rayleigh beam as one of its component equations. We consider all combinations of clamped and hinged boundary conditions.
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Exact controllability and perturbation analysis for elastic beams moreles, miguel angel 2004-05-01 00:00:00 the rayleigh beam is a perturbation of the bernoulli–euler beam. We establish convergence of the solution of the exact controllability problem for the rayleigh beam to the corresponding solution of the bernoulli–euler beam.
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Abstract a criterion of exact controllability using the resolvent of the state space operator is given for linear control system in hilbert space.
Exact controllability and perturbation analysis for elastic beams miguel angel moreles∗ abstract the rayleigh beam is a perturbation of the bernoulli-euler beam. We establish convergence of the solution of the exact controllability problem for the rayleigh beam to the correspondig solution of the bernoulli-euler.
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Exact controllability and stabilization of locally coupled wave equations stéphane gerbi (lama), chiraz kassem, amina mortada (l2s), ali wehbe in this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equation.
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On robustness of exact controllability and exact observability under cross perturbations of the generator in banach spaces zhan-dongmeiandji-genpeng (communicatedbynigelj. This paper is concerned with the exact controllability and ex-act observability of linear systems in the banach space setting.
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It is proved that the approximate controllability of $(1)$ and of $(2)$ are equivalent. My question: is there any relation between exact null controllability of $(1)$ and of $(2)$? if so, any reference that.
Abstract a criterion of exact controllability using the resolvent of the state space operator is given for linear control system in hilbert space. This condition is necessary for exact controllability, so the criterion is quite general.
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92 the main results of this article show that approximate and exact controllability 93 depend on two main aspects: rst, from a geometric point of view, the uncontrolled 94 vector eld vneeds to send the support of 0 toforward in time and the support 95 of 1 tobackward in time.
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The results show that, in the linear nonautonomous control systems, there are equivalences among internal stability, stabizability, detectability, and input-output stability. Moreover, in the systems, exact null controllability implies complete stabilizability.
Nov 17, 2011 there are many tests for checking controllability and obervability and these tests are very essential during the design of a control system using.
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Feb 23, 2013 many types of exactness can be expressed in terms of “colimits in the left-exact world”.
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Exact controllability in order to analyze, by duality, the exact observability property inthe infinite dimensional setting like, for example, in [14]. However,inboth cases itis admissible inthe following sense: z t 0 kcs(t)x0k2 rn dt ≤κ 2kx 0k 2 m2, ∀x0 ∈d(a.
Exact boundary controllability of a system of mixed order with essential spectrum farid ammar khodja karine mauffrey y, and arnaud munch z abstract. We address in this work the exact boundary controllability of a linear hyperbolic.
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Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural controllability theory, we continue to lack a framework to control undirected complex networks, especially given link weights. Here we introduce an exact controllability paradigm based on the maximum multiplicity to identify the minimum set of driver nodes required.
Under some conditions, we prove that the exact controllability is preserved if we perturb the generator of an infinite-dimensional control system by appropriate miyadera–voigt perturbations. Furthermore, we study the robustness of exact controllability for perturbed boundary control systems.
The cost of approximate controllability for heat equations: the linear case fernández-cara, enrique and zuazua, enrique, advances in differential equations, 2000 local exact controllability of the diffusion equation in one dimension beceanu, marius, abstract and applied analysis, 2003.
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The exact controllability of schrödinger equation in bounded domains with dirichlet boundary condition is studied. Both the boundary controllability and the internal controllability problems are considered. Concerning the boundary controllability, the paper proves the exact controllability in $h^ - 1 (\omega)$ with $l^2 $-boundary control.
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