IEICE TRANSACTIONS on Fundamentals
Synthesis of Hybrid Systems with Limit Cycles Satisfying Piecewise Smooth Constraint Equations
Summary :
In this paper, we propose a synthesis method of hybrid systems with specified limit cycles. Several methods which sysnthesize a nonlinear system with prescribed limit cycles have been proposed. In these methods, the limit cycle is given by an algebraic equation, which will be called constraint equations, and its stability is guaranteed by a Lyapunov function derived from the constraint equation. In general, limit cycles of hybrid systems are nonsmooth due to the discontinuous vector fields. So the limit cycles are given by piecewise smooth constraint equations, we employ the piecewise smooth Lyapunov functions to construct desired nonsmooth limit cycles and guarantee their stability.
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- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.4 pp.837-842
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- 2004/04/01
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- Special Section PAPER (Special Section on Selected Papers from the 16th Workshop on Circuits and Systems in Karuizawa)
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Masakazu ADACHI, Toshimitsu USHIO, Shigeru YAMAMOTO, "Synthesis of Hybrid Systems with Limit Cycles Satisfying Piecewise Smooth Constraint Equations" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 4, pp. 837-842, April 2004, doi: .
Abstract: In this paper, we propose a synthesis method of hybrid systems with specified limit cycles. Several methods which sysnthesize a nonlinear system with prescribed limit cycles have been proposed. In these methods, the limit cycle is given by an algebraic equation, which will be called constraint equations, and its stability is guaranteed by a Lyapunov function derived from the constraint equation. In general, limit cycles of hybrid systems are nonsmooth due to the discontinuous vector fields. So the limit cycles are given by piecewise smooth constraint equations, we employ the piecewise smooth Lyapunov functions to construct desired nonsmooth limit cycles and guarantee their stability.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_4_837/_p
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@ARTICLE{e87-a_4_837,
author={Masakazu ADACHI, Toshimitsu USHIO, Shigeru YAMAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Synthesis of Hybrid Systems with Limit Cycles Satisfying Piecewise Smooth Constraint Equations},
year={2004},
volume={E87-A},
number={4},
pages={837-842},
abstract={In this paper, we propose a synthesis method of hybrid systems with specified limit cycles. Several methods which sysnthesize a nonlinear system with prescribed limit cycles have been proposed. In these methods, the limit cycle is given by an algebraic equation, which will be called constraint equations, and its stability is guaranteed by a Lyapunov function derived from the constraint equation. In general, limit cycles of hybrid systems are nonsmooth due to the discontinuous vector fields. So the limit cycles are given by piecewise smooth constraint equations, we employ the piecewise smooth Lyapunov functions to construct desired nonsmooth limit cycles and guarantee their stability.},
keywords={},
doi={},
ISSN={},
month={April},}
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TY - JOUR
TI - Synthesis of Hybrid Systems with Limit Cycles Satisfying Piecewise Smooth Constraint Equations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 837
EP - 842
AU - Masakazu ADACHI
AU - Toshimitsu USHIO
AU - Shigeru YAMAMOTO
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2004
AB - In this paper, we propose a synthesis method of hybrid systems with specified limit cycles. Several methods which sysnthesize a nonlinear system with prescribed limit cycles have been proposed. In these methods, the limit cycle is given by an algebraic equation, which will be called constraint equations, and its stability is guaranteed by a Lyapunov function derived from the constraint equation. In general, limit cycles of hybrid systems are nonsmooth due to the discontinuous vector fields. So the limit cycles are given by piecewise smooth constraint equations, we employ the piecewise smooth Lyapunov functions to construct desired nonsmooth limit cycles and guarantee their stability.
ER -
English
