Finite-time stability and stabilization of nonlinear quadratic systems with jumps (Q1719345)
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scientific article; zbMATH DE number 7017557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-time stability and stabilization of nonlinear quadratic systems with jumps |
scientific article; zbMATH DE number 7017557 |
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Finite-time stability and stabilization of nonlinear quadratic systems with jumps (English)
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8 February 2019
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Summary: This paper investigates the problems of finite-time stability and finite-time stabilization for nonlinear quadratic systems with jumps. The jump time sequences here are assumed to satisfy some given constraints. Based on Lyapunov function and a particular presentation of the quadratic terms, sufficient conditions for finite-time stability and finite-time stabilization are developed to a set containing bilinear matrix inequalities (BLIMs) and linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed methodology.
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