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Exponential stabilisation of non-standard nonlinear singularly perturbed system

Exponential stabilisation of non-standard nonlinear singularly perturbed system

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The authors investigate the exponential stability of non-standard nonlinear singularly perturbed system via the Lyapunov stability technique. Using two standard singularly perturbed systems separated from the non-standard system, the authors analyse the exponential stability of the non-standard nonlinear singularly perturbed system. Based on the stability analysis for the general singularly perturbed system with non-separate slow–fast dynamics, the stabilising controller is designed.

Inspec keywords: control system synthesis; Lyapunov matrix equations; nonlinear control systems; asymptotic stability; singularly perturbed systems

Other keywords: nonseparate slow fast dynamics; exponential stability analysis; Lyapunov stability technique; stabilising controller design; nonstandard system; nonstandard nonlinear singularly perturbed system

Subjects: Optimal control; Stability in control theory; Control system analysis and synthesis methods; Nonlinear control systems; Algebra

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