Stability analysis for positive Markov jump systems in \(p\)th moment sense: necessary and sufficient conditions
From MaRDI portal
Publication:6494988
DOI10.1016/J.JFRANKLIN.2024.106682MaRDI QIDQ6494988
Xiushan Jiang, Weihai Zhang, Unnamed Author
Publication date: 30 April 2024
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
positive Markov jump systems\(\mathcal{H}\)-representation\(p\) th moment stability\(p\)th moment detectability\(p\)th moment strong stabilityextended system method
Observability (93B07) Stochastic stability in control theory (93E15) Positive control/observation systems (93C28)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On moment non-explosions for Wishart-based stochastic volatility models
- Stochastic stability of positive Markov jump linear systems
- On the observability and detectability of linear stochastic systems with Markov jumps and multiplicative noise
- Markov jump linear systems with switching transition rates: mean square stability with dwell-time
- Detectability and observability of discrete-time stochastic systems and their applications
- Rational matrix equations in stochastic control.
- On stabilizability and exact observability of stochastic systems with their applications.
- Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
- Output feedback \(l_1\) control of positive Markov jump systems: a dynamic event-triggered method
- Exact detectability and exact observability of discrete-time linear stochastic systems with periodic coefficients
- Moment stability of nonlinear discrete stochastic systems with time-delays based on \(\mathcal{H}\)-representation technique
- Moment Stability of Nonlinear Stochastic Systems With Time-Delays Based on ${\cal {H}}$-Representation Technique
- Almost sure and δmoment stability of jump linear systems
- Generalized Lyapunov Equation Approach to State-Dependent Stochastic Stabilization/Detectability Criterion
- Interval Stability and Stabilization of Linear Stochastic Systems
- Necessary and Sufficient Conditions for $2p$th Moment Stability of Several Classes of Linear Stochastic Systems
- Stabilization of continuous-time jump linear systems
- Some New Criteria on $p$th Moment Stability of Stochastic Functional Differential Equations With Markovian Switching
- ${\cal H}$-Representation and Applications to Generalized Lyapunov Equations and Linear Stochastic Systems
- A general theory for matrix root-clustering in subregions of the complex plane
- Event-triggered finite-time \(L_1\) control for positive Markov jump systems with partly known transition probability
- Finite‐time annular domain stability and stabilization for stochastic Markovian switching systems driven by Wiener and Poisson noises
This page was built for publication: Stability analysis for positive Markov jump systems in \(p\)th moment sense: necessary and sufficient conditions