Title :
Stability of a class of interconnected evolution systems
Author_Institution :
Dept. of Electr. Comput. Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
fDate :
3/1/1992 12:00:00 AM
Abstract :
Stability conditions for a class of interconnected systems modeled by linear abstract evolution equations and a memoryless nonlinearity are derived. These conditions are stated in terms of the passivity of each of the subsystems and can be considered as a partial generalization of the hyperstability theorem. A Lyapunov function approach is used in the proof without requiring the positive definiteness of the Lyapunov function. Application to the robustness analysis of the infinite-dimensional linear quadratic regulator is also discussed
Keywords :
Lyapunov methods; control system analysis; large-scale systems; multidimensional systems; optimal control; stability; time-varying systems; Lyapunov function; control system analysis; hyperstability theorem; infinite-dimensional linear quadratic regulator; interconnected evolution systems; linear abstract evolution equations; memoryless nonlinearity; multidimensional systems; optimal control; passivity; robustness analysis; stability; Asymptotic stability; Coercive force; Forward contracts; Frequency; Intelligent robots; Interconnected systems; Linearity; Lyapunov method; Nonlinear equations; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
