Jordan Canonical Form

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Junyi Wang - One of the best experts on this subject based on the ideXlab platform.

  • output regulation of state coupled linear multi agent systems with globally reachable topologies
    Neurocomputing, 2014
    Co-Authors: Hongjing Liang, Huaguang Zhang, Zhanshan Wang, Junyi Wang
    Abstract:

    This paper investigates output regulation problem of state-coupled linear certain and uncertain multi-agent systems with globally reachable topologies. Distributed dynamic state feedback control law is introduced to realize the regulator problem and a general global method for error regulation is established. The Jordan Canonical Form is used to stabilize the closed-loop control system. Sylvester equation and internal model theory are adopted to achieve the objectives of output regulation for every initial condition in the state space. Finally, numerical simulations are utilized to show the effectiveness of the obtained results.

Hongjing Liang - One of the best experts on this subject based on the ideXlab platform.

  • output regulation of state coupled dynamics with globally reachable topologies
    2019
    Co-Authors: Hongjing Liang, Huaguang Zhang
    Abstract:

    This chapter investigates output regulation problem of state-coupled linear certain and uncertain multi-agent systems with globally reachable topologies. Distributed dynamic state feedback control law is introduced to realize the regulator problem, and a general global method for error regulation is established. The Jordan Canonical Form is used to stabilize the closed-loop control system. Sylvester equation and internal model theory are adopted to achieve the objectives of output regulation for every initial condition in the state space.

  • output regulation of state coupled linear multi agent systems with globally reachable topologies
    Neurocomputing, 2014
    Co-Authors: Hongjing Liang, Huaguang Zhang, Zhanshan Wang, Junyi Wang
    Abstract:

    This paper investigates output regulation problem of state-coupled linear certain and uncertain multi-agent systems with globally reachable topologies. Distributed dynamic state feedback control law is introduced to realize the regulator problem and a general global method for error regulation is established. The Jordan Canonical Form is used to stabilize the closed-loop control system. Sylvester equation and internal model theory are adopted to achieve the objectives of output regulation for every initial condition in the state space. Finally, numerical simulations are utilized to show the effectiveness of the obtained results.

Huaguang Zhang - One of the best experts on this subject based on the ideXlab platform.

  • output regulation of state coupled dynamics with globally reachable topologies
    2019
    Co-Authors: Hongjing Liang, Huaguang Zhang
    Abstract:

    This chapter investigates output regulation problem of state-coupled linear certain and uncertain multi-agent systems with globally reachable topologies. Distributed dynamic state feedback control law is introduced to realize the regulator problem, and a general global method for error regulation is established. The Jordan Canonical Form is used to stabilize the closed-loop control system. Sylvester equation and internal model theory are adopted to achieve the objectives of output regulation for every initial condition in the state space.

  • output regulation of state coupled linear multi agent systems with globally reachable topologies
    Neurocomputing, 2014
    Co-Authors: Hongjing Liang, Huaguang Zhang, Zhanshan Wang, Junyi Wang
    Abstract:

    This paper investigates output regulation problem of state-coupled linear certain and uncertain multi-agent systems with globally reachable topologies. Distributed dynamic state feedback control law is introduced to realize the regulator problem and a general global method for error regulation is established. The Jordan Canonical Form is used to stabilize the closed-loop control system. Sylvester equation and internal model theory are adopted to achieve the objectives of output regulation for every initial condition in the state space. Finally, numerical simulations are utilized to show the effectiveness of the obtained results.

J N Reddy - One of the best experts on this subject based on the ideXlab platform.

  • Jordan Canonical Form solution for thermally induced deFormations of cross ply laminated composite beams
    Journal of Thermal Stresses, 1999
    Co-Authors: A A Khdeir, J N Reddy
    Abstract:

    Thermal deFormations in symmetric and antisymmetric cross-ply beams are investigated. The state-space approach in conjunction with the Jordan Canonical Form is presented to obtain exact solutions for the thermoelastic response of cross-ply composite beams for arbitrary boundary conditions and subjected to general temperature fields. The classical, first-, second-, and third-order beam theories are used in the analysis. As a demonstrative example, deflections are computed for beams with various lamination schemes and boundary conditions undergoing linearly varying temperature through the thickness.

  • an exact solution for the bending of thin and thick cross ply laminated beams
    Composite Structures, 1997
    Co-Authors: A A Khdeir, J N Reddy
    Abstract:

    The state-space concept in conjunction with the Jordan Canonical Form is presented to solve the governing equations for the bending of cross-ply laminated composite beams. The classical, first-order, second-order and third-order theories have been used in the analysis. Exact solutions have been developed for symmetric and antisymmetric cross-ply beams with arbitrary boundary conditions subjected to arbitrary loadings. Several sets of numerical results are presented to show the deflected curve of the beam, the effect of shear deFormation, the number of layers and the orthotropicity ratio on the static response of composite beams.

Olivier Bernard - One of the best experts on this subject based on the ideXlab platform.

  • Interval observers for linear time-invariant systems with disturbances
    Automatica, 2011
    Co-Authors: Frédéric Mazenc, Olivier Bernard
    Abstract:

    It is shown that, for any time-invariant exponentially stable linear system with additive disturbances, time-varying exponentially stable interval observers can be constructed. The technique of construction relies on the Jordan Canonical Form that any real matrix admits and on time-varying changes of coordinates for elementary Jordan blocks which lead to cooperative linear systems. The approach is applied to detectable linear systems.