Numerical approximation of the \(H_ \infty\) norm of nonlinear systems

DOI10.1016/0005-1098(94)00161-BzbMath0838.93028MaRDI QIDQ1899592

S. Yuliar, Matthew R. James

Publication date: 30 May 1996

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

nonlinearfinite differencenumerical technique\(H_ \infty\)-normpartial differential inequality

Mathematics Subject Classification ID

Related Items (5)

The risk-sensitive index and the \(H_ 2\) and \(H_ \infty\) norms for nonlinear systems ⋮ On the global stabilization of a class of nonlinear singularly perturbed systems using nonlinear H_∞ control approach ⋮ On regional nonlinear \(H^{\infty}\)-filtering ⋮ Performance bounds for nonlinear systems with a nonlinear ℒ₂-gain property ⋮ Incremental \(\mathcal{L}_2\)-gain stability of piecewise-affine systems with piecewise-polynomial storage functions

Cites Work

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• Discrete dynamic programming and viscosity solutions of the Bellman equation
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• Robust control of a class of uncertain nonlinear systems
• A partial differential inequality for dissipative nonlinear systems
• Dissipative dynamical systems. I: General theory
• An Approximation Scheme for the Minimum Time Function
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• The stability of nonlinear dissipative systems

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