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Discrete Linear Control Systems
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Discrete Linear Control Systems ([EBook]) / by V. N. Fomin.
Author
Fomin, Vladimir N.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : Springer Netherlands , 1991.
Physical Details
XIII, 302 pages : online resource.
Series
Mathematics and its applications. Soviet series
0169-6378 ; ; 67
ISBN
9789401132480
Contents note
1 Basic concepts and statement of problems in control theory -- 1.1 Initial Premises -- 1.2 Basic concepts of control theory -- 1.3 Modelling of control objects and their general characteristics -- 1.4 Precising the statement of the control problem -- 2 Finite time period control -- 2.1 Dynamic programming -- 2.2 Stochastic control systems -- 2.3 Stochastic dynamic programming -- 2.4 Bayesian control strategy -- 2.5 Linear quadratic Gaussian Problem -- 2.A Appendix -- 2.P Proofs of lemmas and theorems -- 3 Infinite time period control -- 3.1 Stabilitzation of dynamic systems using Liapunov’s method -- 3.2 Discrete form for analytical design of regulators -- 3.3 Transfer function method in linear optimization problem -- 3.4 Limiting optimal control of stochastic processes -- 3.5 Minimax control -- 3.A Appendix -- 3.P Proofs of the lemmas and theorems -- 4 Adaptive linear control systems with bounded noise -- 4.1 Fundamentals of adaptive control -- 4.2 Existence of adaptive control strategy in a minimax control problem -- 4.3 Self-tuning systems -- 4.P Proofs of the lemmas and theorems -- 5 The problem of dynamic system identification -- 5.1 Optimal recursive estimation -- 5.2 The Kalman-Bucy filter for tracking the parameter drift in dynamic systems -- 5.3 Recursive estimation -- 5.4 Identification of a linear control object in the presence of correlated noise -- 5.5 Identification of control objects using test signals -- 5.P Proofs of lemmas and theorems -- 6 Adaptive control of stochastic systems -- 6.1 Dual control -- 6.2 Initial synthesis of adaptive control strategy in presence of the correlated noise -- 6.3 Design of the adaptive minimax control -- 6.P Proofs of the lemmas and the theorems -- Comments -- References -- Operators and Notational Conventions.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-011-3248-0
Links to Related Works
Subject References:
Calculus of variations
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Calculus of variations and optimal control; optimization
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Electrical engineering
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Mathematics
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Probabilities
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Probability theory and stochastic processes
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System theory
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Systems Theory, Control
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Authors:
Fomin, Vladimir N.
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Fomin, Vladimir N. 1937-2000
.
Fomin, Vladimir N., 1937-2000
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications. Soviet series
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Classification:
519
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