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Optimization of Piecewise Linear Control Systems

IFAC Proceedings Volumes, 2001
Abstract A problem of optimization of piecewise linear control systems is considered. On the base of methods of solving linear optimal control problems and operations of parametric optimization a dual method of constructing optimal open-loop controls is elaborated. An algorithm of operating an optimal controller is proposed.
F.M. Kirillova, N.V. Balashevich
openaire   +1 more source

Subspace identification of piecewise linear systems

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Subspace identification can be used to obtain models of piecewise linear state-space systems for which the switching is known. The models should not switch faster than the block size of the Hankel matrices used. The nonconsecutive parts of the input and output data that correspond to one of the local linear systems can be used to obtain the system ...
V. Verdult, M. Verhaegen
openaire   +1 more source

Piecewise linear systems in economic models

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
We construct a market where agents make decisions to buy or sell stocks and bonds. Agents make decisions based on a convex optimization problem with a risk-sensitive utility as the objective function. The solutions to each optimization problem are piecewise linear demands for the securities.
openaire   +1 more source

Canonical Forms of Generic Piecewise Linear Continuous Systems

IEEE Transactions on Automatic Control, 2011
This technical note reports a simple, but effective strategy to derive a single coordinate transformation of a generic -dimensional piecewise- linear continuous vector field that puts both of its subsystems into the same observer or control canonical form. The only hypothesis required is that both subsystems are either observable or controllable.
DI BERNARDO, MARIO   +2 more
openaire   +4 more sources

Bifurcations in a piecewise linear system

Physics Letters A, 1986
Abstract We study two bifurcations which, because of the piecewise linear nature of the system under consideration, occur at the same parameter value. The three orbits created in this compound bifurcation are the principal periodic orbits of a homoclinic bifurcation seen in the system.
openaire   +1 more source

From Linear to Piecewise Linear Differential Systems

2022
Enrique Ponce, Javier Ros, Elisabet Vela
openaire   +1 more source

Piecewise-quadratic and piecewise-linear Lyapunov functions for discontinuous systems†

International Journal of Control, 1969
This paper develops necessary and sufficient conditions for the existence of Lyapunov functions of tho Lur'e type (‘ piecewise-quadratic ’) for relay-control systems and gives explicit formulae- for ‘optimum ’functions of this form for estimating regions of asymptotic stability in special cases, comparing these with results of numerical optimization ...
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Set-membership filtering for piecewise linear systems with censored measurements under Round-Robin protocol

International Journal of Systems Science, 2020
Xuerong Li, Fei Han, Nan Hou
exaly  

Stability analysis of piecewise discrete-time linear systems

IEEE Transactions on Automatic Control, 2002
Gang Feng
exaly  

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