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Exponential and input-output stability are equivalent for linear time-varying systems. (English) Zbl 1075.93531


MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
34D99 Stability theory for ordinary differential equations
34H05 Control problems involving ordinary differential equations
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[1] Anderson, B. D O., Internal and external stability of linear time-varying systems, SIAM J Control Optimization, 20, 408-413 (1982) · Zbl 0479.93054 · doi:10.1137/0320031
[2] Brockett, R. W., Finite dimensional linear systems (1970), New Delhi: John Wiley, New Delhi · Zbl 0216.27401
[3] Desoer, C. A.; Vidyasagar, M., Feedback systems: Input-output properties (1975), New Delhi: Academic Press, New Delhi · Zbl 0327.93009
[4] Ravi R, Khargonekar P P 1989 On the equivalence between exponential stability and input-output stability for linear time-varying continuous-time systems, Tech. Report, Department of Electrical Engineering, University of Minnesota, Minneapolis, September
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