Study on general stability and stabilizability of linear discrete‐time stochastic systems
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Publication:4920558
DOI10.1002/asjc.238zbMath1263.93228OpenAlexW1982537493MaRDI QIDQ4920558
Ting Hou, Bor-Sen Chen, Weihai Zhang
Publication date: 21 May 2013
Published in: Asian Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/asjc.238
\(\mathcal D_R\)-stability\(\mathcal D(0, \alpha\beta)\)-stabilitygeneralized LMI regionssecond-order moment Lyapunov exponentspectrum technique
Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Identification in stochastic control theory (93E12)
Related Items (13)
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Uses Software
Cites Work
- Feedback stabilizability for stochastic systems with state and control dependent noise
- On stabilizability and exact observability of stochastic systems with their applications.
- A new robust D-stability condition for real convex polytopic uncertainty
- Mean square stability conditions for discrete stochastic bilinear systems
- Linear Matrix Inequalities in System and Control Theory
- Robust state estimation for perturbed systems with error variance and circular pole constraints: The discrete-time case
- H/sub ∞/ design with pole placement constraints: an LMI approach
- H∞-type control for discrete-time stochastic systems
- Generalized Lyapunov Equation Approach to State-Dependent Stochastic Stabilization/Detectability Criterion
- Interval Stability and Stabilization of Linear Stochastic Systems
- A general theory for matrix root-clustering in subregions of the complex plane
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