Generalization of the Lyapunov equation to nonlinear systems. (English) Zbl 0643.93047
Summary: The Lyapunov equation for the characterization of the stability of linear systems is generalized to nonlinear systems.
MSC:
93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
15A24 | Matrix equations and identities |
93C10 | Nonlinear systems in control theory |
15A72 | Vector and tensor algebra, theory of invariants |
34D20 | Stability of solutions to ordinary differential equations |
93C15 | Control/observation systems governed by ordinary differential equations |
References:
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