Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: By means of the spectral analysis technique of the generalized Lyapunov operator, a new kind of regional stabilizability named “D(0, α)-stabilizability” (0  R -stability” is also discussed extensively and some interesting concrete examples are given. Finally, the relationship among D(0, α; β)-stability, the decay rate of the system state response and the second-order moment Lyapunov exponent L 2 e is revealed, which can be regarded as the discrete-time version of the result corresponding to continuous-time stochastic systems.
['Ting Hou', 'Weihai Zhang', 'Bor-Sen Chen']
I am writing a research paper on a idea Regional stability and stabilizability of linear stochastic systems: Discrete-time case
[{"from": "human", "value": "I am writing a research paper on a idea Regional stability and stabilizability of linear stochastic systems: Discrete-time case"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: By means of the spectral analysis technique of the generalized Lyapunov operator, a new kind of regional stabilizability named \u201cD(0, \u03b1)-stabilizability\u201d (0  R -stability\u201d is also discussed extensively and some interesting concrete examples are given. Finally, the relationship among D(0, \u03b1; \u03b2)-stability, the decay rate of the system state response and the second-order moment Lyapunov exponent L 2 e is revealed, which can be regarded as the discrete-time version of the result corresponding to continuous-time stochastic systems."}]