Stability of nonlinear systems
Exponential stability analysis of nonlinear systems with bounded gain error
... Nonlinear systems have been paid considerable attention from different areas since they have been successfully used in many practical applications including robotics, informa- tion science, artificial ...
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Cone valued Lyapunov functions and Lipschitz stability of nonlinear systems of differential equations
... We also introduce new concepts of 0-uniform Lipschitz stability and t,,k, 0-practical stability and employ our comparison result to carry out stability analysis of nonlinear systems.. Ou[r] ...
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Exponential stability of nonlinear systems with impulsive effects and disturbance input
... exponential stability of nonlinear systems with impulse time window, disturbance input and bounded gain error is ...exponential stability is ...
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Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems
... Lyapunov stability theory with some inequalities for the higher order derivatives v ( ) i ( , ) t x of the LF ...the nonlinear system is ...the stability of nonlinear systems and the ...
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Stability criteria on delay dependent robust stability for uncertain neutral stochastic nonlinear systems with time delay
... the nonlinear part satisfying this condition can make positive contributions to the stability of systems, we can easily solve the observer design problem for nonlinear systems [17, 38– ...
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Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems
... a nonlinear theory of co-prime ...for nonlinear mappings and, presented a stability result for a nonlinear ...input nonlinear systems and presented a optimal robustness ...a ...
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Noise to state exponential stability of neutral random nonlinear systems
... functional nonlinear systems (NRFSs) are ...noise-to-state stability in the moment of a special class of NRFSs, named neutral random delay nonlinear systems, are ...
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A notion of stability in probability of stochastic nonlinear systems
... the stability analysis of stochastic nonlinear systems (SNS) has been one of the most active and important areas in control ...the stability of trivial solutions of SNS, but there are very few ...
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Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
... The rest of this paper is organized as follows. In Section 2, the intermittent control problem is formulated and some notations and lemmas are introduced. In Section 3, the exponential stabilization problem for a class ...
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Stability of nonlinear systems under constantly acting perturbations
... In other words, we have to admit that there are small perturbations permanently acting which cannot be accurately estimated consequently the validity of the description of the evolution,[r] ...
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Solutions to Lyapunov stability problems: nonlinear systems with continuous motions
... For the state x 0 of the system 3.1 possessing Weak Smoothness Property to be asymptotically stable it is both necessary and sufficient that for any positive definite function p ES;f the[r] ...
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New approach to asymptotic stability: time varying nonlinear systems
... The new methodology for a single simultaneous exact construction of a system Lyapunov function and accurate determination of the domain of asymptotic stability of x 0 established in [4]-[r] ...
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Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions
... In order.for a compact invariant set J of the system 3.lab with the Weak Smoothness Property to be asymptotically stable it is both necessary and sufficient that 1 for arbitrarily select[r] ...
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Stability analysis and observer design for a class of nonlinear systems with multiple time delays
... for nonlinear systems written in a trian- gular ...of nonlinear systems with multiple ...of nonlinear systems with multiple time-delays is proposed, and the gain matrix is ...
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Stability implications on the asymptotic behavior of nonlinear systems
... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ...
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Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems
... the nonlinear systems control by us- ing the concept of linearization by state ...the stability domains of operating ...Lyapunov stability synthesis ...of systems with an order higher ...
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Simple Methods for Stability Analysis of Nonlinear Control Systems
... The Popov criterion is considered as one of the most ap- propriate criteria for nonlinear systems and it can be com- pared with the Nyquist criterion for linear systems [4]. However there are ...
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Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations
... for nonlinear systems [1] [3]. 2) Nonlinear systems can have multiple equilibrium points and limit cycles ...3) Stability behaviour of nonlinear systems need not always be ...
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Computational Approach to Control Laws of Strict Feedback Nonlinear Systems
... Therefore, it is not only important for industrial applications, but also for research and education. Maple is one of the most powerful computer algebra systems in the world. We use Maple to compute control laws ...
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Variable neural networks for adaptive control of nonlinear systems
... of nonlinear systems, the variable neural network starts with a small number of initial hidden units, then adds or removes units on a variable grid consisting of a variable number of subgrids with different ...
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