On output stabilizability of differential–algebraic equations
Copyright policy )On output stabilizability of differential–algebraic equations
The author studies output stabilizability of differential-algebraic systems. Two different notions of stability, an asymptotic one and one based on the \(\mathrm{L}^q\)-norm of the output are compared and shown be equivalent. To introduce the use of the main concepts of output injection and the Kalman observability decomposition, the author begins with a short proof of the result for the special case of ordinary differential equations. The latter can then be generalized to differential-algebraic equations and employed to prove the aforementioned equivalence.
- Ilmenau University of Technology Germany
Observability, output stabilizability, observability, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Kalman decomposition, differential-algebraic equations, Control/observation systems governed by ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations
Observability, output stabilizability, observability, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Kalman decomposition, differential-algebraic equations, Control/observation systems governed by ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations
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