Stability of switching infinite-dimensional systems
Copyright policy )Stability of switching infinite-dimensional systems
In this note, we generalize the results from Narendra and Balakrishnan (IEEE Trans. Automatic Control 39 (1994) 2469) to the infinite-dimensional system theoretic setting. The paper gives results on the stability of a switching system of the form x@?(t)=A"ix(t), i@?{1,2}, when the infinitesimal generators A"1 and A"2 commute. In addition, the existence of a common quadratic Lyapunov function is demonstrated.
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Lyapunov function, Control/observation systems governed by partial differential equations, Lyapunov and storage functions, Stability, Infinite-dimensional switching systems
Lyapunov function, Control/observation systems governed by partial differential equations, Lyapunov and storage functions, Stability, Infinite-dimensional switching systems
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