Structural controllability and matrix netst
نویسنده
چکیده
We establish structural controllability results for matrix pairs [A, B] where .4=A0+Z piAi, B=B,+Z piB', with tho At, Bi fixed, and the pr free scalar parameters. Tho results characterize structural controllability in several wsys, via, tests involving the cllecking of the rank or the evaluation of the determinant of various constant matrices formed from t,he At, Bi. A number of the result,^ used as intormediate results tests for a full rank property of matrix nets, i.e. tests that check if M = M , + Z,prMi, il4' presoribed, pr variable, has full rank for slmost all pi.
منابع مشابه
A. a Comment on Shift Registers and Neural Netst N-i
A. A COMMENT ON SHIFT REGISTERS AND NEURAL NETSt Shift registers, linear and nonlinear, can be regarded as a subclass of neural nets, 1 and, therefore, the results of the general theory of neural nets apply to them, not vice versa. A useful technique for investigating neural nets is provided by the state transition matrix. We shall apply it to shift-register networks. The notation will be the s...
متن کاملConditions on Structural Controllability of Nonlinear Systems: Polynomial Method
In this paper the structural controllability of a class of a nonlinear system is investigated. The transfer function (matrix) of nonlinear systems is obtained by putting the nonlinear system model on non-commutative ring. Conditions of structural controllability of nonlinear systems are presented according to the criterion of linear systems structural controllability in frequency domain. An exa...
متن کاملStructural Controllability of Linear Time-invariant Systems
One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair (A,B) whose nonzero entries are distinct parameters, is structurally controllable if values can be assigned to the parameters which cause the resulting matrix pair to be controllable. In this paper...
متن کاملExact controllability of complex networks
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 to...
متن کاملEffects of the network structural properties on its controllability.
In a recent paper, it has been suggested that the controllability of a diffusively coupled complex network, subject to localized feedback loops at some of its vertices, can be assessed by means of a Master Stability Function approach, where the network controllability is defined in terms of the spectral properties of an appropriate Laplacian matrix. Following that approach, a comparison study i...
متن کامل