Finite-time \(L_1\) control for positive Markovian jump systems with partly known transition rates

DOI10.1007/s00034-015-0131-4zbMath1346.93304OpenAlexW1416217281MaRDI QIDQ308514

Jiyang Wang, Xianwen Gao, Wenhai Qi

Publication date: 6 September 2016

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-015-0131-4

zbMATH Keywords

linear programmingfinite-time boundednesspartly known transition ratespositive Markovian jump systems

Mathematics Subject Classification ID

Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic systems in control theory (general) (93E03)

Related Items (2)

Finite-time stability of discrete switched singular positive systems ⋮ Robust finite-time stabilization for networked control systems via static output-feedback control: Markovian jump systems approach

Cites Work

• Unnamed Item
• Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach
• Stochastic stability of positive Markov jump linear systems
• \(l_1\)-gain performance analysis and positive filter design for positive discrete-time Markov jump linear systems: a linear programming approach
• \(\ell_1\)-induced norm and controller synthesis of positive systems
• Positive filtering for positive Takagi-Sugeno fuzzy systems under \(\ell_1\) performance
• Finite-time \(L_1\) control for positive switched linear systems with time-varying delay
• Stability of stochastic differential equations with Markovian switching
• A positive linear discrete-time model of capacity planning and its controllability properties
• Solving the serial batching problem in job shop manufacturing systems
• Stochastic stability and stabilization of positive systems with Markovian jump parameters
• Improved results on stability of continuous-time switched positive linear systems
• Discrete-time control for switched positive systems with application to mitigating viral escape
• $H_{\infty}$ Positive Filtering for Positive Linear Discrete-Time Systems: An Augmentation Approach
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems
• Robust finite‐time stability and stabilisation of switched positive systems
• Distributed fault detection over sensor networks with Markovian switching topologies
• Positive 1D and 2D systems

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