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Augusto Ferrante, Harald K. Wimmer (2013)
Special Matrices
Let V and W be matrices of size n × pk and qm × n, respectively. A necessary and sufficient condition is given for the existence of a triple (A,B,C) such that V a k-step reachability matrix of (A,B) andW an m-step observability matrix of (A,C).
G. Heinig, P. Jankowski (1990/1991)
Numerische Mathematik
Peng, Haipeng, Li, Lixiang, Sun, Fei, Yang, Yixian, Li, Xiaowen (2010)
Advances in Difference Equations [electronic only]
Wu, Zhizheng, Ben Amara, Foued (2008)
Mathematical Problems in Engineering
Da-Ke Gu, Da-Wei Zhang (2020)
Kybernetika
This paper considers a parametric approach for quasi-linear systems by using dynamic compensator and multi-objective optimization. Based on the solutions of generalized Sylvester equations, we establish the more general parametric forms of dynamic compensator and the left and right closed-loop eigenvector matrices, and give two groups of arbitrary parameters. By using the parametric approach, the closed-loop system is converted into a linear constant one with a desired eigenstructure. Meanwhile,...
Eduardo Ruiz Velázquez, Oscar D. Sánchez, Griselda Quiroz, Guillermo O. Pulido (2018)
Kybernetika
Diabetes mellitus (DM) is a disease affecting millions of people worldwide, and its medical care brings an economic wear to patients and public health systems. Many efforts have been made to deal with DM, one of them is the full-automation of insulin delivery. This idea consists in design a closed-loop control system to maintain blood glucose levels (BGL) within normal ranges. Dynamic models of glucose-insulin-carbohydrates play an important role in synthesis of control algorithms, but also in other...
Xiaoli Wang, Yiguang Hong (2009)
Kybernetika
In this paper, we address distributed control structures for multi-agent systems with linear controlled agent dynamics. We consider the parametrization and related geometric structures of the coordination controllers for multi-agent systems with fixed topologies. Necessary and sufficient conditions to characterize stabilizing consensus controllers are obtained. Then we consider the consensus for the multi-agent systems with switching interaction topologies based on control parametrization.
Ferdinand Kraffer, Petr Zagalak (2002)
Kybernetika
The polynomial matrix equation is solved for those and that give proper transfer functions characterizing a subclass of compensators, contained in the class whose arbitrary element can be cascaded to a plant with the given strictly...
Peter Hippe (1991)
Kybernetika
Boris Lohmann (1991)
Kybernetika
Aubin, Jean-Pierre, Frankowska, Hélène (1995)
Journal of Convex Analysis
Ulviye Başer (1999)
Kybernetika
Partial disturbance decoupling problems are equivalent to zeroing the first, say Markov parameters of the closed-loop system between the disturbance and controlled output. One might consider this problem when it is not possible to zero all the Markov parameters which is known as exact disturbance decoupling. Structured transfer matrix systems are linear systems given by transfer matrices of which the infinite zero order of each nonzero entry is known, while the associated infinite gains are unknown...
Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Weijiu Liu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau and Komornik...
Liu, Wei-Jiu, Williams, Graham H. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A. K. Nandakumaran, R. K. George (1995)
Revista Matemática de la Universidad Complutense de Madrid
In this article, we prove the partial exact controllability of a nonlinear system. We use semigroup formulation together with fixed point approach to study the nonlinear system.
Mahmoud, Magdi S., Xie, Lihua (2001)
Mathematical Problems in Engineering
Y. Kanevsky, A.A. Nepomnyashchy (2010)
Mathematical Modelling of Natural Phenomena
A global feedback control of a system that exhibits a subcritical monotonic instability at a non-zero wavenumber (short-wave, or Turing instability) in the presence of a zero mode is investigated using a Ginzburg-Landau equation coupled to an equation for the zero mode. The method based on a variational principle is applied for the derivation of a low-dimensional evolution model. In the framework of this model the investigation of the system’s dynamics...
Boumedyen Boussaid, Christophe Aubrun, Mohamed Naceur Abdelkrim, Mohamed Koni Ben Gayed (2011)
International Journal of Applied Mathematics and Computer Science
In this paper, a new approach regarding a reconfigured system is proposed to improve the performance of an active fault tolerant control system. The system performance is evaluated with an intelligent index of performance. The reconfiguration mechanism is based on a model predictive controller and reference trajectory management techniques. When an actuator fault occurs in the system, a new degraded reference trajectory is generated and the controller calculates new admissible controls. A constraint...
Osvaldo Maria Grasselli, Sauro Longhi, Antonio Tornambè (2001)
Kybernetika
In this paper, the problem of obtaining a periodic model in state-space form of a linear process that can be modeled by linear difference equations with periodic coefficients is considered. Such a problem was already studied and solved in [r71] on the basis of the notion of system equivalence, but under the assumption that the process has no null characteristic multiplier. In this paper such an assumption is removed in order to generalize the results in [r71] to linear periodic processes with possibly...
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