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A generalized Lyapunov theorem for descriptor system. (English) Zbl 0883.93035
Summary: We present a new generalized Lyapunov theorem for a continuous-time descriptor system by extending the theorem due to Lewis (1985). The result is applied to the infinite-horizon descriptor LQ regulator problem.

93C35 Multivariable systems, multidimensional control systems
49N10 Linear-quadratic optimal control problems
Full Text: DOI
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[2] Katayama, T; Minamino, M, Linear quadratic regulator and spectral factorization for continuous-time descriptor systems, (), 967-972
[3] Lewis, F.L, Preliminary notes on optimal control for singular systems, (), 266-272
[4] Wang, Y.-Y; Frank, P.M; Clements, D.J, The robustness properties of the linear quadratic regulators for singular systems, IEEE trans. automat. control, 38, 96-100, (1993) · Zbl 0780.49026
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