Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system | Zendy

JinRong Wang | Zendy

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Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system

Author(s) -

JinRong Wang

Publication year - 2011

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2011.31.1.105

Subject(s) - mathematics , steady state (chemistry) , pulse (music) , state (computer science) , control theory (sociology) , pulse width modulation , mathematical analysis , control (management) , power (physics) , thermodynamics , physics , algorithm , computer science , voltage , quantum mechanics , chemistry , artificial intelligence

In this paper, we study the steady-state of a semilinear pulse-width sampler controlled system on infinite dimensional spaces. Firstly, by virtue of Schauder's fixed point theorem, the existence of periodic solutions is given. Secondly, utilizing a generalized Gronwall inequality given by us and the Banach fixed point theorem, the existence and stabilizability of a steady-state for the semilinear control system with pulse-width sampler is also obtained. At last, an example is given for demonstration

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