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  1. Journal of Computer and Systems Sciences International
  2. Journal of Computer and Systems Sciences International : Volume 55
  3. Journal of Computer and Systems Sciences International : Volume 55, Issue 5, September 2016
  4. Necessary optimality conditions for switched systems
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Journal of Computer and Systems Sciences International : Volume 56
Journal of Computer and Systems Sciences International : Volume 55
Journal of Computer and Systems Sciences International : Volume 55, Issue 6, November 2016
Journal of Computer and Systems Sciences International : Volume 55, Issue 5, September 2016
Reducing controllers of linear dynamic systems based on the analysis of physical features of the plant
Computational algorithm for solving problem of optimal boundary-control with nonseparated boundary conditions
Necessary optimality conditions for switched systems
Evaluation of spline functions for digital filtering problems
Methods of fault accommodation in technical systems
The control model for the selection of reference collections providing the impartial assessment of the quality of scientific and technological publications by using bibliometric and scientometric indicators
Adaptive control of air steam treatment in air-conditioning systems
A way to control and stabilize the output voltage in a system for generating an alternating current with stable frequency on the base of a magneto-electric generator
Autonomous navigation during the final ascent of a spacecraft into the geostationary orbit. II. Simulation of operation of an integrated autonomous SC navigation and control system
Source detection problem with discrete-time variable radiation intensities: Joint control optimization for the path and observations of a mobile observer
Distributed navigation system for uniaxial wheeled modules
Solvability conditions of problem of synthesizing proportional-integral control of a linear MIMO system
Test complex for the onboard navigation system of an airport ground vehicle
Journal of Computer and Systems Sciences International : Volume 55, Issue 4, July 2016
Journal of Computer and Systems Sciences International : Volume 55, Issue 3, May 2016
Journal of Computer and Systems Sciences International : Volume 55, Issue 2, March 2016
Journal of Computer and Systems Sciences International : Volume 55, Issue 1, January 2016
Journal of Computer and Systems Sciences International : Volume 54
Journal of Computer and Systems Sciences International : Volume 53
Journal of Computer and Systems Sciences International : Volume 52
Journal of Computer and Systems Sciences International : Volume 51
Journal of Computer and Systems Sciences International : Volume 50
Journal of Computer and Systems Sciences International : Volume 49
Journal of Computer and Systems Sciences International : Volume 48
Journal of Computer and Systems Sciences International : Volume 47
Journal of Computer and Systems Sciences International : Volume 46
Journal of Computer and Systems Sciences International : Volume 45

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Necessary optimality conditions for switched systems

Content Provider Springer Nature Link
Author Bortakovskii, A. S.
Copyright Year 2016
Abstract A dynamic system that models the operation of a switching device (switch) is considered. During the operation, the system changes its state a finite number of times. The change of state (switching) is described by a recurrent inclusion, which corresponds to the representation of the switch by a dynamic finite state machine with memory; instantaneous multiple switchings are admitted. The instants of time at which switchings are made and the number of switchings are not given in advance. They are found by optimizing a functional in which the number of switchings and the cost of each of them are taken into account. Necessary optimality conditions for such systems are proved. Different versions of the optimality conditions for different types of constraints are given. In particular, under additional convexity conditions, conditions that are similar to the maximum principle for discrete systems are obtained. The application of the optimality conditions is illustrated by examples.
Starting Page 712
Ending Page 724
Page Count 13
File Format PDF
ISSN 10642307
Journal Journal of Computer and Systems Sciences International
Volume Number 55
Issue Number 5
e-ISSN 15556530
Language English
Publisher Pleiades Publishing
Publisher Date 2016-10-19
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Control, Robotics, Mechatronics
Content Type Text
Resource Type Article
Subject Applied Mathematics Theoretical Computer Science Computer Networks and Communications Control and Systems Engineering Information Systems Computer Vision and Pattern Recognition Software
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