Stabilization of a Kind of Nonlinear Discrete Singular Large-Scale Control Systems

Shuiling SUN

Abstract


This paper studies the state feedback stabilization of a kind of nonlinear discrete singular large-scale control systems by using Lyapunov matrix equation, generalized Lyapunov function method and matrix theory. There gives some sufficient conditions for determining the asymptotical stability and instability of the corresponding singular closed-loop large-scale systems while the subsystems are regular, causal and R-controllable. At last, an example is given to show the application of main result.
Key words: Nonlinear discrete singular large-scale system; Control system; Asymptotical stability; Stabilization; State feedback

References


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WO, Songlin, & ZOU, Yun (2003). The Asymptotical Stability and Stabilization for Discrete Singular Large-Scale Systems. Systems Engineering and Electronics, 25(10), 1246-1250.

SUN, Shuiling, & CHEN, Yunyun (2011). State Feedback Stabilization of Discrete Singular Large-Scale Control Systems. Studies in Mathematical Sciences, 2(2), 36-42.

SUN, Shuiling, & PENG, Ping (2009). Connective Stability of Singular Linear Time-Invariant Large-Scale Dynamical Systems with Sel-Intraction. Advances in Diffrential Equations and Conntrol Processes, 3(1), 63-76.

SUN, Shuiling, & CHEN, Chaotian (2004). Connective stability of a family of nonlinear discrete large-scale systems. Journal of Lanzhou University of Technology, 31(5), 124-127.

WO, Songlin (2004). Stability and Decentralized Control for the Singular Large-Scale Systems. Nanjing University of Science and Technology, 35(2), 47-52.


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