On the mathematical model for linear elastic systems with analytic damping
SIAM Journal on Control and Optimization
An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
SIAM Journal on Control and Optimization
On the Boundedness and Continuity of the Spectral Factorization Mapping
SIAM Journal on Control and Optimization
Controllability level of a hyperbolic system with non zero boundary conditions
ICAI'08 Proceedings of the 9th WSEAS International Conference on International Conference on Automation and Information
Observability of 4th order dynamical systems
SMO'08 Proceedings of the 8th conference on Simulation, modelling and optimization
International Journal of Systems Science
Semidiscretization methods in certain controllability measures of a parabolic PDE system
MATH'08 Proceedings of the 13th WSEAS international conference on Applied mathematics
Absolute controllability of a parabolic system with non zero boundary conditions
ICS'08 Proceedings of the 12th WSEAS international conference on Systems
SVM Based Decision Analysis and Its Granular-Based Solving
ICCSA '09 Proceedings of the International Conference on Computational Science and Its Applications: Part II
Sliding mode for detection and accommodation of computation time delay fault
Mathematics and Computers in Simulation
Modeling and stability analysis of cascade buck converters with N power stages
Mathematics and Computers in Simulation
Robust stabilization of linear differential inclusion system with time delay
Mathematics and Computers in Simulation
The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices
Journal of Computational and Applied Mathematics
Passive control of uncertain multiple input-delayed systems using reduction method
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation
Seismic wave propagation and perfectly matched layers using a GFDM
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III
Application of the GFDM for dynamic analysis of plates
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part I
Constrained controllability of nonlinear stochastic impulsive systems
International Journal of Applied Mathematics and Computer Science - SPECIAL SECTION: Efficient Resource Management for Grid-Enabled Applications
Mathematics and Computers in Simulation
Componentwise error analysis for linear systems associated with sign regular matrices
Journal of Computational and Applied Mathematics
| Hi-index | 0.00 |
The main aim of this article is to derive general conditions for a few types of controllability at once for an arbitrary order abstract differential equation and arbitrary eigenvalues multiplicities, instead of conditions for fixed order equation and single eigenvalues. Another innovation of this article is taking into account delays caused by electronic control microcontrollers. This was possible thanks to analysis of the n-th order linear system in the Frobenius form, generating Jordan transition matrix of the confluent Vandermonde form. Using the explicit analytical form of the inverse confluent Vandermonde matrix enabled us to receive general conditions of different types of controllability for the infinite dimensional systems. We derived this analytical form of the inverse confluent Vandermonde matrix using new results from the linear algebra, presented in the paper by S. Hou and W. Pang, “Inversion of confluent Vandermonde matrices”, Int. J. Comput. Math. Appl., 43, pp. 1539-1547, 2002.