Dissipativity of Uncontrollable Systems, Storage Functions, and Lyapunov Functions

DOI10.1137/070699019zbMath1176.93055OpenAlexW2136596322MaRDI QIDQ3648549

Madhu N. Belur, Debasattam Pal

Publication date: 27 November 2009

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070699019

zbMATH Keywords

Lyapunov equationalgebraic Riccati equationdissipativityHamiltonian matrixbehaviorsuncontrollabilitystorage functions

Mathematics Subject Classification ID

Controllability (93B05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Observability (93B07) Eigenvalues, singular values, and eigenvectors (15A18) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

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