Balanced realizations via gradient flow techniques

DOI10.1016/0167-6911(90)90086-AzbMath0699.93010MaRDI QIDQ913713

J. E. Perkins, John B. Moore, Uwe R. Helmke

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionneural networkssingular value decompositiongradient flownumerical stabilityparallel processingbalanced minimal realizations

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Minimal systems representations (93B20) Eigenvalues, singular values, and eigenvectors (15A18) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Robust eigenvalue assignment in second-order systems: a gradient flow approach, Optimum realizations of sampled-data controllers for FWL sensitivity minimization, New algorithm for computing LQ suboptimal output feedback gains of decentralized control systems, Singular-value decomposition via gradient and self-equivalent flows, Toward time-varying balanced realization via Riccati equations, Balanced realizations of regime-switching linear systems, The constrained Newton method on a Lie group and the symmetric eigenvalue problem, Dynamical systems that perform the singular value decomposition, The Sylvester equation and approximate balanced reduction

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