Stochastic problems of absolute stability
From MaRDI portal
Publication:885769
DOI10.1134/S0005117906110051zbMath1195.93142MaRDI QIDQ885769
P. V. Pakshin, Valery A. Ugrinovskii
Publication date: 14 June 2007
Published in: Automation and Remote Control (Search for Journal in Brave)
Applications of stochastic analysis (to PDEs, etc.) (60H30) Stability of solutions to ordinary differential equations (34D20) Stochastic stability in control theory (93E15)
Related Items (8)
Properties of storage functions and applications to nonlinear stochastic \(H_\infty\) control ⋮ Representation of the bilinear system output by multiple stochastic integrals ⋮ Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay ⋮ Dissipativity of diffusion Itô processes with Markovain switching and problems of robust stabilization ⋮ Exponential dissipativeness of the random-structure diffusion processes and problems of robust stabilization ⋮ A class of discrete time generalized Riccati equations ⋮ \(p\)th moment absolute exponential stability of stochastic control system with Markovian switching ⋮ On control of stochastic sensitivity
Cites Work
- Method of passification in adaptive control, estimation, and synchronization
- Frequency methods in the theory of pulse-modulated control systems
- Kalman-Popov-Yakubovich Lemma and the \(S\)-procedure: a historical essay
- Exponential stabilization of nonlinear stochastic systems
- Algebraic criterion for absolute stability (with respect to the nonlinearity) of stochastic discrete automatic control systems with nonlinear feedback
- Global stability and dichotomy of a class of nonlinear systems with random parameters
- Stability of semilinear stochastic evolution equations
- Feedback stabilizability for stochastic systems with state and control dependent noise
- Equations of Lur'e in Hilbert space and their solvability
- Stabilization of a linear stochastic system subjected to White noise - type parametric disturbances
- On the gap between deterministic and stochastic ordinary differential equations
- Algebraic criteria for absolute (relative to nonlinearity) stability of stochastic automatic control systems with nonlinear feedback
- Stability of nonlinear pulse systems in the presence of random disturbances of parameters
- The stability of the Ito functional-differential equation with a monotone nonlinear characteristic
- Passivity and passification of nonlinear systems
- Absolute stability approach to stochastic stability of infinite-dimensional nonlinear systems
- Stability of a class of functional-differential Itô equations
- On the relation between ordinary and stochastic differential equations
- The method of V. M. Popov for control systems with random parameters
- A survey of stability of stochastic systems
- A Liapunov method for the estimation of statistical averages
- Stochastic stability and control
- Dissipative dynamical systems. I: General theory
- \(H_\infty\) control and estimation of state-multiplicative linear systems.
- Stochastic Frequency Characteristics
- Stochastic Linear-Quadratic Control via Semidefinite Programming
- Frequency-domain criteria for stability of a class of nonlinear stochastic systems
- Semilinear stochastic evolution equations: boundedness, stability and invariant measurest
- State Feedback $H_\infty$ Control for a Class of Nonlinear Stochastic Systems
- The ‘unreachable poles’ defect in LQR theory: analysis and remedy
- Dynamic Programming Approach to Stochastic Evolution Equations
- Application of Yakubovich criterion for stability of nonlinear stochastic systems
- Connections between finite-gain and asymptotic stability
- An Overview of Bilinear System Theory and Applications
- An Overview of Stochastic Bilinear Control Processes
- Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
- On the stability of discrete non-linear feedback systems with state-dependent noise
- On the stability of non-linear feedback systems with control-dependent noise
- Linear Quadratic Optimal Stochastic Control with Random Coefficients
- Stochastic stability for a multiloop nonlinear system
- The stability of nonlinear dissipative systems
- On the stability of linear time-varying feedback systems with random parameters
- Improved stability criterion for linear stochastic systems
- Cross-coupling and stability of non-linear stochastic control systems
- THE FREQUENCY THEOREM FOR CONTINUOUS ONE-PARAMETER SEMIGROUPS
- Stochastic $H^\infty$
- Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs
- Absolute Stabilization and Minimax Optimal Control of Uncertain Systems with Stochastic Uncertainty
- Linear Matrix Inequalities in System and Control Theory
- Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic controls
- A Passive System Approach to Feedback Stabilization of Nonlinear Control Stochastic Systems
- Robust H∞ infinity control in the presence of stochastic uncertainty
- Robustness of feedback-stabilized systems in the presence of non-linear and random perturbations
- On the Existence of Lyapunov Function for the Problem of Lur’e
- LMI optimization for nonstandard Riccati equations arising in stochastic control
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Stochastic problems of absolute stability