Stability analysis for stochastic hybrid systems: a survey
DOI10.1016/j.automatica.2014.08.006zbMath1301.93168OpenAlexW2028470370MaRDI QIDQ472550
Anantharaman Subbaraman, Andrew R. Teel, Antonino Sferlazza
Publication date: 19 November 2014
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2014.08.006
robustnessMarkov chainsstochastic differential equationsLyapunov functionsstochastic stabilitystochastic hybrid systemsswitching diffusionsstochastic switched systemsconverse theorems
Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
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Cites Work
- A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
- Mean Square Stochastic Stability Of Linear Time-delay System With Markovian Jumping Parameters
- Stochastic versus mean square stability in continuous time linear infinite Markov jump parameter systems
- Stability and robust stabilization to linear stochastic systems described by differential equations with markovian jumping and multiplicative white noise
- Stability of Piecewise-Deterministic Markov Processes
- Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets
- Input–Output Stability of Networked Control Systems With Stochastic Protocols and Channels
- Application of Reachability Analysis for Stochastic Hybrid Systems to Aircraft Conflict Prediction
- Asymptotic Stability in Hybrid Systems via Nested Matrosov Functions
- Stability of a Class of Hybrid Linear Stochastic Systems
- Analysis of Power System Dynamics Subject to Stochastic Power Injections
- Dynamical properties of hybrid automata
- Stabilization of continuous-time jump linear systems
- Exponential stability of stochastic delay interval systems with Markovian switching
- On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters
- Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching
- On the exponential stability of switching diffusion processes
- Robust Stability and Stabilization of Uncertain Discrete-Time Markovian Jump Linear Systems
- Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness
- Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
- On Stability of Randomly Switched Nonlinear Systems
- Hybrid Systems: Computation and Control
- Hybrid Systems: Computation and Control
- Hybrid Systems: Computation and Control
- On the inversion of Ljapunov’s second theorem on stability of motion
- Some New Criteria on $p$th Moment Stability of Stochastic Functional Differential Equations With Markovian Switching
- Stability of Singular Stochastic Systems With Markovian Switching
- Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach
- Volterra Integral Approach to Impulsive Renewal Systems: Application to Networked Control
- Stability of Stochastic Nonlinear Systems With State-Dependent Switching
- Hybrid dynamical systems
- Optimal portfolio for an insider in a market driven by Lévy processes§
- Stochastic Differential Equations with Markovian Switching
- Hybrid Systems: Computation and Control
- Decentralized control of power systems via robust control of uncertain Markov jump parameter systems
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic input-to-state stability of switched stochastic nonlinear systems
- Asymptotic stability in the \(p\)th moment for stochastic differential equations with Lévy noise
- Analysis for a class of singularly perturbed hybrid systems via averaging
- On singular perturbations due to fast actuators in hybrid control systems
- The regime switching portfolios
- Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching
- Stability analysis of switched stochastic systems
- Stochastic reachability analysis of hybrid systems.
- Markov chains and stochastic stability
- Stochastic stability and robust control for sampled-data systems with Markovian jump parameters
- Solutions to hybrid inclusions via set and graphical convergence with stability theory applications
- Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems
- On ``uniformity in definitions of global asymptotic stability for time-varying nonlinear systems
- Stabilization and destabilization of hybrid systems of stochastic differential equations
- Stability of invariant sets of Itô stochastic differential equations with Markovian switching
- \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
- Exponential \(p\)-stability of impulsive stochastic differential equations with delays
- Markov jump linear systems with switching transition rates: mean square stability with dwell-time
- Stochastic differential equations with jumps
- Relaxation results for hybrid inclusions
- Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
- Finite-time stability and stabilization of nonlinear stochastic hybrid systems
- Hybrid switching diffusions. Properties and applications
- A singular system approach to robust sliding mode control for uncertain Markov jump systems
- Stochastic differential equations of jump type and Lévy processes in diffeomorphisms group
- Almost sure and moments stability of jump linear systems
- Comments on integral variants of ISS
- Sufficient conditions for ergodicity and recurrence of Markov chains on a general state space
- Asymptotic stability and smooth Lyapunov functions
- Switching in systems and control
- Robust stability and controllability of stochastic differential delay equations with Markovian switching.
- Delay-dependent stochastic stability and \(H_{\infty}\) analysis for time-delay systems with Markovian jumping parameters.
- Delay-dependent robust stability of stochastic uncertain systems with time delay and Markovian jump parameters
- Stochastic invariance for differential inclusions
- Stability of stochastic differential equations with Markovian switching
- Continuous selections of trajectories of hybrid systems
- \(p\)-moment stability of stochastic differential equations with jumps
- Lyapunov coupled equations for continuous-time infinite Markov jump linear systems
- An invariance principle for nonlinear hybrid and impulsive dynamical systems.
- On the solution of stochastic differential inclusion
- Stability of a random diffusion with linear drift
- Stability of regime-switching stochastic differential equations
- Stochastic differential inclusions and applications.
- Stochastic stabilization of hybrid differential equations
- Stability of networked control systems with asynchronous renewal links: an impulsive systems approach
- Stochastic differential delay equations with Markovian switching
- A converse Lyapunov theorem for strong global recurrence
- Stability of dynamical systems. Continuous, discontinuous, and discrete systems
- Stability of regime-switching diffusions
- Stability and stabilization of continuous-time singular hybrid systems
- Liapunov criteria for weak stochastic stability
- Stochastic stabilization of a class of nonhomogeneous Markovian jump linear systems
- Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations
- Smooth Lyapunov functions and robustness of stability for difference inclusions
- Stabilization of a class of stochastic differential equations with Markovian switching
- A survey of stability of stochastic systems
- A model for stochastic hybrid systems with application to communication networks
- Asymptotic stability in distribution of stochastic differential equations with Markovian switching.
- On robust stabilization of Markovian jump systems with uncertain switching probabilities
- Stochastic switching systems. Analysis and design.
- Stabilization of stochastic singular nonlinear hybrid systems
- A partial history of the early development of continuous-time nonlinear stochastic systems theory
- Stability analysis and stabilization control of multi-variable switched stochastic systems
- Limit theorems for non-commutative operators. I
- Stochastic Hybrid Systems with Renewal Transitions: Moment Analysis with Application to Networked Control Systems with Delays
- A Converse Lyapunov Theorem and Robustness for Asymptotic Stability in Probability
- Stochastic hybrid systems for studying biochemical processes
- Optimal Control of Switching Diffusions with Application to Flexible Manufacturing Systems
- Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations
- Discretization and Weak Convergence in Markov Decision Drift Processes
- Asymptotic Stability of Stochastic Differential Equations Driven by Lévy Noise
- Stochastic Hybrid Systems
- Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions
- A Unified Approach for Stochastic and Mean Square Stability of Continuous-Time Linear Systems with Markovian Jumping Parameters and Additive Disturbances
- Stationary distributions for piecewise-deterministic Markov processes
- A jump-driven Markovian electric load model
- Generalized solutions to hybrid dynamical systems
- Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties
- Stability and Ergodicity of Piecewise Deterministic Markov Processes
- Lévy Processes and Stochastic Calculus
- Stability of random-switching systems of differential equations
- Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system
- Continuous time markov decision processes with interventions
- Stochastic stability properties of jump linear systems
- A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle
- A stochastic filippov theorem
- Set-valued stochastic intergrals and stochastic inclutions1
- Variational Analysis