A Delay-dependent Condition for the Exponential Stability of Switched Linear Systems with Time-varying Delay | Zendy

Kreangkri Ratchagit | Zendy

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A Delay-dependent Condition for the Exponential Stability of Switched Linear Systems with Time-varying Delay

Author(s) -

Kreangkri Ratchagit

Publication year - 2010

Publication title -

journal of mathematics research

Language(s) - English

Resource type - Journals

eISSN - 1916-9809

pISSN - 1916-9795

DOI - 10.5539/jmr.v2n3p120

Subject(s) - mathematics , stability (learning theory) , simple (philosophy) , exponential stability , control theory (sociology) , exponential function , mathematical analysis , nonlinear system , computer science , philosophy , physics , control (management) , epistemology , quantum mechanics , machine learning , artificial intelligence

We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with timevarying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented

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