A Maximum Principle for the Stability Analysis of Positive Bilinear Control Systems with Applications to Positive Linear Switched Systems

DOI10.1137/11083808XzbMath1252.93091MaRDI QIDQ3143257

Lior Fainshil, Michael Margaliot

Publication date: 29 November 2012

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

zbMATH Keywords

variational approachPerron-Frobenius theorypositive linear systemsMetzler matrixpositive linear switched systemspositive absolute stability problemstability under arbitrary switching law

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Positive matrices and their generalizations; cones of matrices (15B48) Optimality conditions for problems involving ordinary differential equations (49K15)

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