C. I. Byrnes (1989), Pole placement by output feedback, in Three Decades of Mathematical Systems Theory, Vol. 135 of Lecture Notes in Control and Information Sciences, Springer, pp. 31-78.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....and Development. 1 R. MAHONY AND U. HELMKE 1 Introduction A classical problem in systems theory is that of pole placement or eigenvalue assignment of linear systems via constant gain output feedback. This is clearly a difficult task and despite a number of important results, cf. Byrnes [3] for an excellent survey, a complete solution giving necessary and sufficient conditions for a solution to exist has not been developed. It has recently been shown that (strictly proper) linear systems with mp n can be assigned arbitrary poles using real output feedback [13] Here n denotes the ....

.... generic conditions on symmetric state space systems for the existence of an exact solution to Problem B (i.e. the existence of ( Theta min ; K min ) such that OE( Theta min ; K min ) 0) This is exactly the classical pole placement question about which much is known for general linear systems [3, 13]. The following result answers (at least in part) this question for symmetric state space systems. It is interesting to note that the necessary conditions for generic pole placement for symmetric state space systems are much stronger than those for general linear systems. Lemma 2.2 Let n and m ....

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C. I. Byrnes. Pole placement by output feedback, In Three Decades of Mathematical Systems Theory, volume 135 of Lecture Notes in Con- 30 POLE PLACEMENT FOR SYMMETRIC REALISATIONS trol and Information Sciences, pages 31--78. London: Springer-Verlag, 1989.

.... the inverse eigenvalue problems for Toeplitz [22, 65, 96, 97, 134] and nonnegative [3, 21, 62, 68] matrices, the matrix or matrix pencil approximations under spectral and structural constraints (see, 20, 25, 28 30, 35, 37, 39, 40, 42 44, 89, 131, 135, 148, 151] pole assignment problems (see, [14, 55, 92, 129, 133, 151]) and so on. Associated with any inverse eigenvalue problem are two fundamental questions solvability and computability. A major effort in solvability has been to determine a necessary or a sufficient condition under which an inverse eigenvalue problem has a solution; while the main concern in ....

....as special cases the state feedback as well the output feedback pole assignment problems. These problems stand alone as an important issue for decades. Discussions on various aspects of the existence theory as well as numerical techniques have been extensive. We shall refer readers to papers [14, 55, 92, 129, 133, 137, 151] and the references contained therein. In general, the eigenvalues i (c) i = 1; Delta Delta Delta ; n) of the matrix A(c) are rather complicated nonlinear functions of parameters c 1 ; Delta Delta Delta ; c l . When l = n Problem IEP requires essentially a solution of the following ....

C. I. BYRNES, Pole placement by output feedback,in Three Decades of Mathematical Systems Theory, Lecture Notes in Control and Information Sci. 135, Springer-Verlag, New York, 1989, pp. 31-78.

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C. I. Byrnes (1989), Pole placement by output feedback, in Three Decades of Mathematical Systems Theory, Vol. 135 of Lecture Notes in Control and Information Sciences, Springer, pp. 31-78.

No context found.

C. I. Byrnes, Pole placement by output feedback, in Three Decades of Mathematical Systems Theory, Lecture Notes in Control and Information Sciences, Springer-Verlag, 135(1989), 31-78.

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