Method of constructing Lyapunov functions for linear discrete time systems

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Method of constructing Lyapunov functions for linear discrete time systems

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A new method for constructing the Lyapunov function and determining the stability of discrete time systems with a computer on the basis of the similarity transformation theory is presented. The system matrix of the system under discussion is applied directly instead of solving the discrete Lyapunov matrix equation.

Inspec keywords: linear systems; stability; discrete time systems; Lyapunov methods; matrix algebra

Other keywords: linear discrete time systems; similarity transformation theory; stability; Lyapunov functions

Subjects: Discrete control systems; Stability in control theory; Algebra

References

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      • Z. Shu , Z. Wang . Advances and treads of studies on stability of motion. Adv. Mech. , 3 , 424 - 431
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      • X. Zhi . A new method for construction Liapunov's functions and determining stabilitywith a computer. Chin. J. Appl. Mech. , 4 , 59 - 63
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      • W.L. Brogan . (1991) Modern control theory.
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      • K.V. Ferrando , H. Nicholson . Square root solution for the discrete time Liapunov equation. Proc. IEE , 3 , 107 - 108
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