On \(\Psi\)-boundedness and \(\Psi\)-stability of matrix Lyapunov systems

DOI10.1007/s12190-007-0007-2zbMath1192.93095OpenAlexW2125989303MaRDI QIDQ949244

G. Suresh Kumar, M. S. N. Murty

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-007-0007-2

zbMATH Keywords

fundamental matrixKronecker productLyapunov system\(\Psi\)-(uniform) stability\(\Psi\)-boundedLebesgue \(\Psi\)-integrable function

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Unnamed Item ⋮ Existence of Ψ-bounded solutions for sylvester matrix dynamical systems on time scales ⋮ On \(\psi\) bounded solutions for a nonlinear Lyapunov matrix differential equation on \(\mathbb{R} \) ⋮ On the \(\Psi \)-conditional exponential asymptotic stability of a nonlinear Lyapunov matrix differential equation with integral term as right side ⋮ On the \(\Psi \)-conditional asymptotic stability of nonlinear Lyapunov matrix differential equations ⋮ On the \(\Psi \)-conditional exponential asymptotic stability of nonlinear Lyapunov matrix differential equations ⋮ Note on the existence of a Ψ-bounded solution for a Lyapunov matrix differential equation

Cites Work

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• On asymptotic equivalence of the bounded solutions of two systems of differential equations
• CONTROLLABILITY, OBSERVABILITY, AND REALIZABILITY OF MATRIX LYAPUNOV SYSTEMS

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