Stability of Markov jump systems with quadratic terms and its application to RLC circuits

DOI10.1016/j.jfranklin.2016.08.031zbMath1355.93207OpenAlexW2528348044MaRDI QIDQ509502

Gisela Pujol, Leonardo Acho, Alessandro N. Vargas

Publication date: 9 February 2017

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/90847

zbMATH Keywords

stabilityelectronic circuitsMarkov jump systems

Mathematics Subject Classification ID

Related Items (12)

A computational study of optimal control of Markov jump systems ⋮ Observer-based event-impulse mixed triggered fault detection for nonlinear semi-Markov jump systems ⋮ General synchronization criteria for nonlinear Markovian systems with random delays ⋮ HMM-based adaptive attack-resilient control for Markov jump system and application to an aircraft model ⋮ Stochastic stability of switching linear systems with application to an automotive powertrain model ⋮ Robust \(H_\infty\) filtering for semi-Markov jump systems encountering denial-of-service jamming attacks ⋮ Stochastic stability analysis of nonlinear semi-Markov jump systems with time delays and incremental quadratic constraints ⋮ A class of switched linear systems with persistent sojourn‐time expectation: Analysis and synthesis ⋮ Robust stability of stochastic systems with varying delays: application to RLC circuit with intermittent closed-loop ⋮ Finite-horizon suboptimal control of Markov jump linear parameter-varying systems ⋮ Stability of switching linear systems with switching signals driven by stochastic processes ⋮ Extended non-fragile dissipative estimation for nonlinear semi-Markov jump systems

Cites Work

• Unnamed Item
• Quadratic costs and second moments of jump linear systems with general Markov chain
• \(H_\infty \) estimation for discrete-time piecewise homogeneous Markov jump linear systems
• Optimal mean-variance control for discrete-time linear systems with Markovian jumps and multiplicative noises
• Robust control for nonhomogeneous Markov jump processes: an application to DC motor device
• Stability of regime-switching diffusions
• On robust stabilization of Markovian jump systems with uncertain switching probabilities
• Stabilization of stochastic singular nonlinear hybrid systems
• Feedback Stabilization of Bernoulli Jump Nonlinear Systems: A Passivity-Based Approach
• Stability of Regime-Switching Jump Diffusions
• A Unified Approach for Stochastic and Mean Square Stability of Continuous-Time Linear Systems with Markovian Jumping Parameters and Additive Disturbances
• Asymptotic Properties of Hybrid Diffusion Systems
• Kronecker products and matrix calculus in system theory
• Continuous-Time Markov Jump Linear Systems
• Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions
• Robust stability, ℋ₂ analysis and stabilisation of discrete-time Markov jump linear systems with uncertain probability matrix
• Second moment constraints and the control problem of Markov jump linear systems
• On the control of Markov jump linear systems with no mode observation: application to a DC Motor device
• H₂state feedback controller design for continuous Markov jump linear systems with partly known information

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