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H. Kwakernaak, R. Sivan (1972)
Linear Optimal Control Systems
D. Naidu, S. Naidu, R. Dorf (2018)
Optimal Control Systems
I.V. Gaishun (2001)
Sistemy s diskretnym vremenem
W. Wonham (1974)
Linear Multivariable Control: A Geometric Approach
ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 11, pp. 1536–1544. c Pleiades Publishing, Inc., 2006. Original Russian Text c I.V. Gaishun, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 11, pp. 1464–1472. ORDINARY DIFFERENTIAL EQUATIONS On a Stabilization Algorithm for Nonstationary Linear Discrete Systems with a Single Input I. V. Gaishun Institute of Mathematics, National Academy of Sciences, Minsk, Belarus Received March 9, 2006 DOI: 10.1134/S0012266106110036 INTRODUCTION Stabilization of dynamical systems is one of the main problems in control theory. For lin- ear stationary systems (discrete and ordinary differential), this problem is well studied; more- over, sufficiently effective algorithms were developed for the construction of stabilizing controllers (e.g., see [1]). However, if the process in question is nonstationary, then the situation is much more complicated. For linear nonstationary discrete systems with a single input, the existence of stabilizing feed- backs can readily be proved in the framework of the theory of canonical forms, which was developed in [2, 3] and generalized in [4]. Although the construction of the desired feedback was not consid- ered in these papers in full generality, the main structures developed there can be used as a basis of algorithms for constructing controllers
Differential Equations – Springer Journals
Published: Jan 3, 2006
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