nonlinear stochastic hybrid systems
Structured robust stability and boundedness of nonlinear hybrid delay systems
... of hybrid SDDEs in order to demonstrate how our new theory established in the previous two sections can be applied to show the robustness of boundedness and stability of a given hybrid system subject to ...
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Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations
... engineering systems including mechanical systems and networked ...for stochastic systems has been an active topic, many interesting results have been reported in ...linear stochastic ...
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Optimization-based methods for nonlinear and hybrid systems verification
... of systems, our method can be used to efficiently compute an exactly guaranteed upper bound on the probability that a system trajectory reaches the unsafe ...for stochastic differential equations, but since ...
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Almost Sure Exponential Stability of Nonlinear Stochastic Delayed Systems with Markovian Switching and L´evy Noises
... a hybrid system with state vector that has two ...real systems. Nowadays, stability analysis for jump diffusion systems with Markovian switching( [7], [14], [15], [19], [22], [27]) or hybrid ...
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Stability of highly nonlinear neutral stochastic differential delay equations
... delay systems where their coefficients are either linear or nonlinear but bounded by linear functions (see, ...highly nonlinear stochastic delay sys- ...of nonlinear hybrid SDDEs ...
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Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... 1990’s, hybrid SDDEs (called also SDDEs with Markovian switching) were developed to model real-world systems since they may experience abrupt changes in their parameters and structure in addition to ...
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Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
... To illustrate our theoretical results, we return to the hybrid SDE (1.4), where the coefficients f and g are defined by (1.5), B(t) is a scalar Brownian motion and r(t) is a Markov chain on S = {1, 2} with the ...
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Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... the hybrid SIDDE ...the hybrid SIDDE is stable or not depends on how small or large the time-delay ...the hybrid SIDDE a ff ect the stability of the systems due to highly ...
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Stability of hybrid stochastic retarded systems
... scalar stochastic delay system is driven by a right-continuous Markov chain that is independent of the one-dimensional (1-D) standard Brownian motion and takes values ...
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Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching
... and hybrid dif- fusion are well combined so that the stochastic nonlin- ear control has been improved to a new level, in which the mode studied has the capability to describe complex systems not only ...
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Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... highly nonlinear hybrid stochastic differential delay equations (SDDEs) (by highly nonlinear we mean the coefficients of the SDDEs do not have to satisfy the linear growth ...
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Adaptive simulation of hybrid stochastic and deterministic models for biochemical systems
... that stochastic effects in regulatory networks play an important role, leading to an increasing in stochastic modelling ...model systems, gen-regulatory networks become part of a larger model system ...
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Periodic Solution for Stochastic Predator Prey Systems with Nonlinear Harvesting and Impulses
... In this section, we give the existence of the positive periodic solution of the sto- chastic system (1.3) with impulses. For convenience of readers, we first give the definition of the periodic solution of the impulsive ...
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An efficient stochastic dynamics framework for response determination, reliability assessment, and performance based design of nonlinear structural systems
... a stochastic process rather than a suite of scaled real earthquake records; (ii) instead of the commonly employed scalar IMs of the peak ground acceleration (PGA) or spectral acceleration, a vector-valued IM ...
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Stabilization of Functional System with Markovian Switching
... in their structure and parameters caused by phenomena such as component failures or repairs, changing subsys- tem interconnections, and abrupt environmental distur- bances. The hybrid systems have been used ...
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Adaptive observer based non linear stochastic system control with sliding mode schemes
... of nonlinear stochastic systems with uncertainties from the measurable system output and the reconstructed states are employed to construct a sliding mode controller for the stabilization control of ...
12
A superlinearly convergent hybrid algorithm for systems of nonlinear equations
... the assumptions of differentiability and nonsingularity, locally superlinear convergence of the method is proved. However, the condition of nonsingularity is too strong. Relaxing the nonsingularity assumption, the ...
14
Comparison theorem of one-dimensional stochastic hybrid delay systems
... To treat this problem, we introduce a new type of stochastic differential equations with Markovian switching (SDEwMSs) with stochastic coefficients f, g while the classical f , g are deterministic. In ...
12
Stochastic Hybrid Systems in Cellular Neuroscience
... underlying stochastic process, which is a second-order differential operator in the case of a Fokker–Planck ...one-dimensional systems (d = 1), this boundary is simply an unstable fixed point, whereas in ...
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Evolution of the modal densities of a class of stochastic hybrid systems
... The stochastic hybrid systems discussed in this report represent the dynamics of an ...the systems are intended to be rather general, so that the application will not be restricted to the ...
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