Discretization Procedure for Linear Dynamical Systems

Journal Article · Tue May 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3765-5· OSTI ID:22771290

Bulaev, V. V., E-mail: [e-mail] ^[1]; Shorikov, A. F., E-mail: [e-mail] ^[2]

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1. Ural Federal University, JSC “Scientific and Production Association of Automatics Named after Acad. N. A. Semikhatov” (Russian Federation)
2. Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of RAS (Russian Federation)

We describe in detail a method of construction of a discrete linear dynamical model of a controllable object in the recurrent Cauchy form corresponding to an initial continuous dynamical system. We describe discretization algorithms for free and forced motion of a linear continuous dynamical system and propose methods of construction of the state, control, and perturbation transition matrices.

• OSTI ID: 22771290
• Journal Information: Journal of Mathematical Sciences, Vol. 230, Issue 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
CONTROL
DISTURBANCES
DYNAMICAL SYSTEMS
MATRICES
PERTURBATION THEORY