Exponential stability of matrix-valued Markov chains via nonignorable periodic data
DOI10.1090/tran/6912zbMath1361.93064OpenAlexW2570667799WikidataQ115545778 ScholiaQ115545778MaRDI QIDQ5347263
Tingwen Huang, Yu Huang, Xiongping Dai
Publication date: 23 May 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/tran/6912
exponential stabilitycanonical Markov measurematrix-valued Markov chainsnonignorable periodic dataOseledeč splitting
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Stability theory for smooth dynamical systems (37C75) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extremal and Barabanov semi-norms of a semigroup generated by a bounded family of matrices
- A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
- Asymptotic stability and generalized Gelfand spectral radius formula
- When do several linear operators share an invariant cone?
- Lyapunov indicator of discrete inclusions. I
- Bounded semigroups of matrices
- Example of a nonergodic flow with nonzero characteristic numbers
- The \(p\)-norm joint spectral radius for even integers
- Stability results for discrete-time linear systems with Markovian jumping parameters
- Periodic motion and tests for absolute stability of nonlinear nonstationary systems
- The generalized spectral-radius theorem: An analytic-geometric proof
- Stability of discrete linear inclusion
- Switched linear systems: stability and the convergence of random products
- Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities
- A characterization of the generalized spectral radius with Kronecker powers
- Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations
- Generalized joint spectral radius and stability of switching systems
- The Berger-Wang formula for the Markovian joint spectral radius
- A survey of stability of stochastic systems
- Pointwise Stability of Discrete-Time Stationary Matrix-Valued Markovian Processes
- Stochastic Stability of Jump Discrete-Time Linear Systems With Markov Chain in a General Borel Space
- Some open sets of nonuniformly hyperbolic cocycles
- Kronecker products and matrix calculus in system theory
- The generalized joint spectral radius. A geometric approach
- Basic problems in stability and design of switched systems
- A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems
- On the relationship between the sample path and moment lyapunov exponents for jump linear systems
- Stochastic stability of jump linear systems
- Computationally Efficient Approximations of the Joint Spectral Radius
- Almost Sure Stability of Discrete-Time Switched Linear Systems: A Topological Point of View
- On Exponential Almost Sure Stability of Random Jump Systems
- Stability Criteria for Switched and Hybrid Systems
